PLEASE HEP ASAP GOT TEN MINS LEFT TILL DUE

PLEASE HEP ASAP GOT TEN MINS LEFT TILL DUE

Answers

Answer 1

Answer:

a ≈ 3.009075116

Step-by-step explanation:

cos(α) = adj/hyp

cos(53°) = a/5

a = 5 * cos(53°)

a ≈ 3.009075116


Related Questions

Find the measure of angle <1

A. 45
B. 120
C. 180
D. 60

Please help!!!

Answers

Answer:

D. 60

Step-by-step explanation:

A triangle has 180 degree

We know that the three angles of this triangle are corresponding, which means all three angles are equal to each other.

Take 180 divided by 3 = 60 degree

So, the answer is D

Answer:

D, 60°

Step-by-step explanation:

These lines on all angles of the triangle mean all of the angles are equal to each other!

Remember, ALL triangles equal 180°

There are 3 angles that share 180° degrees!

Let's divide 180° by 3 to see what EACH ANGLE equals

180 ÷ 3 = 60

All of these angles are equal to 60°

Or, in other words, angle 1 = 60°


Spent $650
Spent $842
Earned $522
Earned $650
Part A - Write an integer to represent the positive or negative value for each transaction. Make sure to include your signs!
Part B - Spending $650 and earning $650 are opposite transactions but they have the same absolute value.
Why? Explain what makes these values opposites AND how their absolute value is the same

Answers

-$650, Spent -$842, Earned +$522 and Earned +$650 are required integers and Spending $650 and earning $650 are opposite transactions but they have the same absolute value.

What is Number system?

A number system is defined as a system of writing to express numbers.

Spent $650

Spent $842

Earned $522

Earned $650

Spent -$650, Spent -$842, Earned +$522 and Earned +$650.

Spending $650 and earning $650 are opposite transactions but they have the same absolute value because the absolute value of a number n is written as |n|.

The absolute value of 0 is 0. Two numbers are opposites if they have the same absolute value but different signs. Opposites are the same distance from 0 on a number line, and they are on opposite sides of 0.

Hence, -$650, Spent -$842, Earned +$522 and Earned +$650 are required integers and Spending $650 and earning $650 are opposite transactions but they have the same absolute value.

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ1

How many solutions does each system of equations have? Part A: {3x−y=13y+3=9x

Answers

The system of equations have Unique solution.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The system of equation is,

⇒ 3x - y = 13

⇒ y + 3 = 9x

Now,

Since, The system of equation is,

⇒ 3x - y = 13

⇒ y + 3 = 9x

It can be written as,

⇒ 3x - y = 13

⇒ 9x - y = 3

Clearly, We have;

⇒ 3/9 = - 1 / - 1

⇒ 1/3 ≠ 1

Thus, It has Unique solution.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Identify how many and what type of solutions for each graph:

1). 1 non-real number
2). 3 real numbers
3). 2 real numbers
4). 1 real number
5). 2 nonreal Number

Answers

The quadratic equation has 2 non-real numbers as solutions.

How many solutions the quadratic equation has?

Here we have the graph of a quadratic equation of the form:

y = a*x^2 + b*x + c

And the solutions of the quadratic equation are the values of x such that:

0 =  a*x^2 + b*x + c

To identify these values, we need to see the values of x such that the graph intercepts the x-axis. But here we can see that the graph never intercepts the x-axis.

Then the solutions are complex numbers, and because it is a quadratic, there are two.

So the correct option is the 5th one, 2 non-real numbers.

Learn more about quadratic equations:

https://brainly.com/question/1214333

#SPJ1

What are the equations of the asymptotes of the hyperbola?

(y+4)^2. (x-6)^2
——— - ———. =. 1
36. 49


Enter your answer in a point-slope form by filling in the boxes. Enter the slope as a simplified fraction.


y= ……= +…..(x…..)

Answers

The equations of the asymptotes of the hyperbola is 6y = -7x,

Define Asymptotes of the hyperbola.

There are two asymptotes on each hyperbola. A hyperbola with a horizontal transverse axis and centre at (h, k) contains one asymptote with equation y = k + (x - h) and the other with equation y = k - (x - h). A straight line that continuously approaches a certain curve without ever meeting it is an asymptote. In other words, an asymptote is a line that a curve travels towards as it approaches infinity. The two vertices, the two focus points, and the centre are all on the same horizontal line and equally spaced from one another. This is a horizontal hyperbola because of this. Our graph of the hyperbola follows the lines of the asymptotes.

Given,

Equations of hyperbola,

(y+4)². (x-6)²

——— - ———. =. 1

36. 49

a² = 36

a = 6

b² = 49

b = 7

Asymptotes of the hyperbola:

y = ±b/a × x

y = 7/6x

6y = 7x

y = -7/6 x

6y = -7x

To learn more about Asymptotes of the hyperbola, visit:

https://brainly.com/question/12601454

#SPJ1

being timed, urgent question!!

Answers

1) 5
2) 6
3) 8
4) 1
5) 4
6) 7
7) 2
8) 3

Let A(0, 1) and B(-4 ,3) be two fixed points. find the locus of point P such that PA^2 PB^2 = 16​

Answers

The locus of point P such that PA²+PB² = 16 is [tex]x^{2} +y^{2} + 4x - 4y + 5 =0[/tex]

What is the locus?

A locus is the collection of all points that satisfy a condition, typically forming a curve or surface. For instance, the set of points in three-space that are equally spaced out from a given point is a sphere, and the locus of points in the plane that are equally spaced apart from a given point is a circle.

Calculation:

Given that A and B are two fixed points on a plane locus of P such that PA²+PB² =16

Let point P be (x,y) then [tex]{(x-0)^{2} +(y-1)^{2} }+{(x-(-4))^{2}+(y-3)^{2} } = 16[/tex]

is the Locus of the given point P

On simplyfying we  get

[tex]{x^{2}+(y-1)^{2} } +{(x+4)^{2}+(y-3)^{2} } = 16[/tex]

[tex]2x^{2} +2y^{2} +8x-8y+10=0\\x^{2} +y^{2} + 4x - 4y + 5 =0[/tex]

This is the Locus of point P where PA²+PB²  = 16.

The locus of point P such that PA²+PB² = 16 is [tex]x^{2} +y^{2} + 4x - 4y + 5 =0[/tex]

To know more about Locus, visit:

https://brainly.com/question/19578071

#SPJ1

Please help me, write it in numbers please, not letters. It's due tonight and I need help with everything!

Answers

Answer:

1) 4 1/4, 2) 10 22/35, 3) 9 11/15, 4) 7 1/3, 5) 11 1/24

-------------------------------------------

See the steps below, they should be self-explanatory.

Let me know if anything is unclear.

Question 11 1/2 + 2 3/4 = 1 + 2 + 1/2 + 3/4 = 3 + 2/4 + 3/4 = 3 + 5/4 = 3 + 1 1/4 = 4 1/4

Question 24 3/7 + 6 1/5 = 4 + 6 + 3/7 + 1/5 = 10 + 3*5/35 + 1*7/35 = 10 + 22/35 = 10 22/35

Question 34 2/5 + 5 2/6 = 4 + 5 + 2/5 + 1/3 = 9 + 2*3/5 + 1*5/15 = 9 + 11/15 = 9 11/15

Question 43 7/7 + 3 1/3 = 3 + 1 + 3 1/3 = 4 + 3 1/3 = 7 1/3

Question 51 4/6 + 9 3/8 = 1 + 9 + 2/3 + 3/8 = 10 + 2*8/24 + 3*3/24 = 10 + 25/24 = 10 + 1 1/24 = 11 1/24

Write a system of linear inequalities represented by the graph.
Inequality 1:
Inequality 2:
(Please explain, thanks!)

Answers

The system of equations  presented in the graph is written as

y > -2x/3 + 2y = x

How to write the inequalities

Linear function in the slope intercept formula is written in the form

y = mx + c

definition of variable

y = output variable

m = slope

x = input variable

c = y intercept

The dashed line represents inequality without "equal to" hence less than or greater then only. shading above the line is greater than

the line passed through points (0, 2) and (3, 0)

the slope, m is = (2 - 0) / (0 - 3) = -2/3

the y intercept = 2

y > -2x/3 + 2

The solid line means the inequality has equal to hence it either greater than or equal to OR less than or equal to. no shading means it is only equal to

the line passed through points (0, 0) and (2, 2)

the slope, m is = (0 - 2) / (0 - 2) = 1

the y intercept = 0

y = x

The equation of the graph is

y > -2x/3 + 2

y = x

Learn more about linear functions at:

https://brainly.com/question/29213643

#SPJ1

find the general solution of the given system. dx dt = 4x − y dy dt = 16x − 4y

Answers

The general solution to the given system of equations  dx/dt = 4x − y,  dy/dt = 16x − 4y is y = 4x + C

In this question we need to find the general solution of the given system. dx/dt = 4x − y              ............(1)

dy/dt = 16x − 4y           .............(2)

Divide equation (2) by equation (1),

(dy/dt)/(dx/dt) = 16x − 4y /  4x − y

(dy/dt)/(dx/dt) = 4(4x − y) / (4x − y)

(dy/dt)/(dx/dt) = 4

(dy/dt)* (dt/dx) = 4

dy/dx = 4

dy = 4 * dx

Now integrate both sides of above expression.

∫dy = ∫4 * dx

y = 4x + C

Therefore, the general solution is y = 4x + C

Learn more about an equation here:

https://brainly.com/question/649785

#SPJ4

These tables of ordered pairs represent some points on the
graphs of lines p and r.
Which system of equations is represented by lines p and r?

Answers

Answer:

y=2x+8 and y=-2x+7

Step-by-step explanation:

The attached graphic shows the steps.  Two distinctive features of a straight line in the form of y=mx+b are its slope, m, and its y-intercept, b.  A quick look at the equations reveals that their slopes form unique pairs.  The slopes in the first option are 2 and -2.  The other slope pairs are b)  4 and -2, c) -3 and 3, and d)  -2,-6.  This means that if we calculate the slopes of lines p and r from the given points, there should only be one result that matches the combinations provided.

Set up a table for the points (see worksheet) and then pick any two points for each line to calculate slope.  The slope is the Rise/Run of the line:  the change in y for a change in x.  The table uses the first and last points for each line, but any two points will work (for a straight line).  

Lines p and r are found to have slopes of 2 and -2, respectively.  That means their equations will take the form of:

p:  y = 2x + b

r:   y= -2x + b

We could (and will) work further to find the y-intercepts (b), but just looking at the answer options, it is clear that the first set of equations match the slope calculations exactly.

 y = 2x+8, and y = -2x+7

None of the others come close.  This is the answer.  If this is a test, or you are missing a more interesting activity, stop here.  But just to insure we are doing the work correctly, and that the ideas are understood, lets plot the two given equations and add the points, as shown on the worksheet.  It is satisfying to find that the graph confirms our choice.  The points all fall on the two lines.  Another useful check is to find the y-intercepts (the value of y when x=0).  Those are noted on the graph (0,7) for r, and (0,8) for p, and lend further confimration to our choice.  Add these intercepts to the first equations that contain the y-intercept as b.  b for line p is 8,  b for line r is 7:

p:  y = 2x + b

r:   y= -2x + b

p:  y = 2x + 8

r:   y= -2x + 7

A perfect match to our selection.  Calculating b is not needed based on the options presented, but a tougher question may require finding the y-intercept before making a choice.

Please help 100 points!!

Answers

Answer:

i think ur answer is c

Step-by-step explanation:

solve. 4|| = 24

HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The value of x from the given equation is 6

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 4x=24.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here, 4x=24

x=24/4

x=6

Therefore, the value of x is 6.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ1

"Your question is incomplete, probably the complete question/missing part is:"

Solve 4x=24.

Question 7 (Essay Worth 10 points)
(04.02 HC)
An orchard owner is investigating a new formula of fertilizer to determine if it produces mor
compared to a current popular brand.
Part A: Which of the following design is most appropriate: observational study, experiment
survey? Explain your reasoning. (3 points)
Part B: Explain how you would implement the design you selected in Part A. (4 points)
Part C: Explain one benefit your design would provide. (3 points)

Please help!!!!!!!!! Will give brainliest for full explanation of all parts.

Answers

Answer:

full answer part(A,B,C)

Part A: An experiment would be the most appropriate design for investigating the effectiveness of a new formula of fertilizer.

The reason for this is that an experiment allows for the manipulation of one or more variables in order to study their effects on a particular outcome. In this case, the orchard owner could manipulate the use of the new formula of fertilizer and compare the results to the use of the current popular brand. This would allow for a more controlled and systematic investigation of the effects of the new formula on fruit production, as compared to other designs such as observational studies or surveys, which do not involve manipulation of variables.

Part B: To implement the experiment, the orchard owner could divide the orchard into two sections, with one section receiving the new formula of fertilizer and the other section receiving the current popular brand. The orchard owner could then measure the fruit production in both sections over a period of time, taking into account factors such as the type of fruit being grown, the age of the trees, and the weather conditions during the study period. It would also be important to ensure that the two sections are as similar as possible in terms of the type of soil, the amount of sunlight they receive, and other relevant factors that could affect fruit production.

Part C: One benefit of this design is that it allows for a more precise and accurate assessment of the effectiveness of the new formula of fertilizer, as compared to other designs such as observational studies or surveys. By manipulating the use of the fertilizers and controlling for other variables, the orchard owner can be more confident that any differences in fruit production are due to the use of the new formula, rather than other factors that might confound the results. This can help the orchard owner make more informed decisions about whether to adopt the new formula for use on their orchard.

Which expression is equivalent to 4(−4.3y − 13.6)?

−17.2y − 13.6
−17.2y − 54.4
−0.3y − 9.6
−0.3y − 13.6

Answers

Answer:

[tex]-17.2y-54.4[/tex]

Step-by-step explanation:

Use the distributive property.

Answer:

A

Step-by-step explanation:

The correct answer is A. −17.2y − 13.6.

To find the equivalent expression, we can first distribute the 4 to the terms inside the parentheses:

4(−4.3y − 13.6) = −17.2y − 54.4

Then, we can combine like terms to simplify the expression:

−17.2y − 54.4 = −17.2y − 13.6

Therefore, the equivalent expression is −17.2y − 13.6.

help me asap i need the full answer please

Answers

Answer:

dont get it

Step-by-step explanation:

You receive $8 for raking leaves for 2 hours. what is the expression?

Answers

Answer:

8x2

Step-by-step explanation:

Mary deposits $260.00 into a new savings account.
The account earns 2.5% simple interest per year. No
money is added or removed from the account for
5 years. What is the total amount of money in her
savings account at the end of the 5 years?
A) $292.50
C) $65.00
D) $325.00
B) $32.50

Answers

Answer:

A

Step-by-step explanation:

To solve this problem, we need to first find out how much interest the account earns each year. If the account earns 2.5% simple interest per year, and it starts with an initial balance of $260, then the interest earned each year is 0.025 * $260 = $6.50.

Over 5 years, the account will earn a total of 5 * $6.50 = $<<5*6.5=32.50>>32.50 in interest.

To find the total amount of money in the account at the end of the 5 years, we need to add the interest earned to the initial balance of the account. The total amount of money in the account will be $260 + $32.50 = $<<260+32.5=292.50>>292.50.

Therefore, the total amount of money in the account at the end of the 5 years is $292.50.

Answer:

A)  $292.50

Step-by-step explanation:

Simple Interest Formula

A = P(1 + rt)

where:

A = Final amountP = Principal amountr = Interest rate (in decimal form)t = Time (in years)

Given:

P = $260.00r = 2.5% = 0.025t = 5 years

Substitute the given values into the formula and solve for A:

⇒ A = 260(1 + 0.025 · 5)

⇒ A = 260(1 + 0.125)

⇒ A = 260(1.125)

⇒ A = 292.50

Therefore, the total amount of money in her savings account at the end of 5 years is $292.50.

Find the area and perimeter of these shapes

Answers

Answer:

what the shapes mg me down..

Exponent rules
3x^-4y^4

Answers

The simplified expression of 3x⁻⁴y⁴ is 3(y/x)⁴

How to simplify the expression

From the question, we have the following parameters that can be used in our computation:

3x^-4y^4

Rewrite properly

So, we have the following representation

3x⁻⁴y⁴

Express x⁻⁴ as a fraction

So, we have the following representation

3y⁴/x⁴

x⁴ and y⁴ have the same exponent

So, they can be combined as follows

3(y/x)⁴

Hence, the equivalent is 3(y/x)⁴

Read more about expression at

https://brainly.com/question/15775046

#SPJ1


Plot the given parabola on the axes. Plot the roots, the vertex and two other points.
y = 29x² - 174x - 203

Answers

The graph of the parabola is shown with a vertex, while the root of the equation is x = 7 and -1.

What is a parabola?

A parabola is a cross-section cut out of the cone and represented by an equation

Here,
y = 29x² - 174x - 203
Roots the equation,
29x² - 174x - 203 = 0
x² - 6x - 7 = 0
(x - 7)(x + 1) = 0

Roots are x = 7 and -1
Now illustrating the graph of the parabola,

Thus the graph of the parabola is shown with a vertex, while the root of the equation is x = 7 and -1.

Learn more about parabola here:

brainly.com/question/4074088

#SPJ1

how many one-to-one functions are there from a set containing 5 elements to a set containing 6 elements?

Answers

There are 5x6=30 one-to-one functions from a set containing 5 elements to a set containing 6 elements.

A one-to-one (or injective) function is a type of mathematical function that maps each element of one set to one, and only one, element of another set. In other words, a one-to-one function is a function that has a unique output for each input. To calculate the number of one-to-one functions from a set containing 5 elements to a set containing 6 elements, we can use the formula f(x)=y, where x is the number of elements in the original set and y is the number of elements in the target set. In this case, x = 5 and y = 6, so f(x) = 6. Since each element in the original set must be mapped to a unique element in the target set, the total number of one-to-one functions is equal to the product of x and y, or 5 x 6 = 30.

Learn more about function here

https://brainly.com/question/29633660

#SPJ4

Please help me raise my grade!

Answers

We need to use the concept of Percentile Rank. The Percentile Rank for score 71 is   33.33   and the score of Viktor is   84.

What is Percentile Rank?

According to the pupils in the particular norm group, a student's performance is shown by their percentile rank. Let's try to put the percentile rank in a tidy mathematical equation now that you are clearer on what it actually is. A collection of values A = x1, x2, x3,..., xn with N values will be used in our attempt to calculate the percentile rank of the data point xm. In this scenario:

PR = L / N × 100 where:

PR stands for percentile rank and has a range of 0 to 100;

L is the quantity of values in set A that are less than or equal to the value of your data, xm; and

The entire collection of values in A has a total of N values.

Calculation:

Given some of the test scores. Arrange the test Scores in ascending order.

A={58,64,66,70,71,75,77,80,84,85,87,90,93,95,96}

N=15

Now find out the values in the set which are less than or equal to 71.

L=5

Apply, PR=L/N ×100

⇒PR=5/15 × 100

PR=33.33 is the Percentile Rank of score 71.

Viktor is in 60th percentile, so find out L.

⇒60=L/15 ×100

⇒L=60×15/100

L=9.

So 84 is Viktor Score.

We need to use the concept of Percentile Rank. The Percentile Rank for score 71 is   33.33   and the score of Viktor is   84.

To refer more about Percentile Rank, visit:

https://brainly.com/question/24245405

#SPJ1

Click the arrows to choose an answer from each menu.
One circled number equals Choose... . Another circled number equals
The sum of those numbers is the third number because
Choose...
Choose...

Answers

One circled number equals 10. Another circled number equals 30. The sum of those numbers is the third number because 10 + 30 is equal to 40.

What is a numerical data?

In Mathematics, a numerical data is sometimes referred to as a number and it can be defined as a data set that is primarily expressed in numbers only. This ultimately implies that, a numerical data simply refers to a data set consisting of numbers rather than words.

Based on the information provided in the multiplication table, we can logically deduce the following three (3) numbers that are circled:

First circled number = 10

Second circled number = 30

Third circled number = 40

In this context, the sum of the first circled number and the second circled number is equal to the third circled number;

Third circled number = 10 + 30

Third circled number = 40.

Read more on numbers here: brainly.com/question/24654699

#SPJ1

Complete Question:

Three numbers are circled in the multiplication table. Use the drop-down menus to explain why the sum of two of the numbers is the third number.

Click the arrows to choose an answer from each menu.

One circled number equals ____. Another circled number equals _____. The sum of those numbers is the third number because ____.

2+2:
NNEED THOROUGH EXPLANATION

Answers

The mathematical expression 2+2 has a value of 4. This is because when two numbers are added together, their values are combined to produce a new value. In the case of 2+2, the value of 2 is added to the value of 2, resulting in a new value of 4.

In mathematical notation, the plus sign (+) is used to indicate addition. When a plus sign appears between two numbers, it indicates that the numbers should be added together to produce a new value. In the expression 2+2, the plus sign indicates that the values of 2 and 2 should be added together to produce a new value.

In order to evaluate the expression 2+2, we can follow the order of operations, which is a set of rules that dictate the sequence in which mathematical operations should be performed. The order of operations specifies that addition should be performed before any other operation, so in the expression 2+2, we would first perform the addition of 2 and 2 to produce a new value of 4.

Therefore, the value of the expression 2+2 is 4.

Answer:

Step-by-step explanation:

take your fingers, raise 2 of them now raise 2 more how many do you see? 4.

which two numbers whose product is -10 and whose sum is 10 ?

Answers

By solving a system of equations we can find the two numbers:

y = 5 + √15

x = 5 - √15

How to find two numbers?

We can define the two numbers as x and y, and we know that:

x*y = -10

x  + y = 10

So we have a little system of equations here.

We can isolate x on the second equation to get:

x = 10 - y

And now replace it on the first equation to get:

(10 - y)*y = -10

10y - y^2 = 10

Then we have a quadratic equation:

y^2 - 10y + 10 = 0

The solutions are given by:

[tex]y = \frac{10 \pm \sqrt{(-10)^2 - 4*10*1} }{2} \\\\y = \frac{10 \pm \sqrt{60} }{2}\\\\y = 5 \pm \sqrt{15}[/tex]

So the two numbers are:

y = 5 + √15

x = 5 - √15

Learn more about systems of equations:

https://brainly.com/question/13729904

#SPJ1

O{-4, -1, 15, 18}
O{-4, -1, 1, 4, 7, 8, 15, 18}
{-1, 4, 8, 18)
O{-4, 1, 7, 15}
-1.
4-
8-
18
-4
7
-15

Answers

What’s the question? Is it asking for Domain or Range?


In the figure above, is AB || CD?

1. If m 2 5= 30 and m < 3 = 150?

A. Yes because angles 5 and 3 are same-side interior angles.
OB. Yes because angles 5 and 3 are alternate interior angles.
C. Yes because angles 5 and 3 are vertical angles.
D. No because angles 5 and 3 are vertical angles.
E. No because angles 5 and 3 are corresponding angles.
F. No because angles 5 and 3 are alternate interior angles.

Answers

A is the correct answer

to display the distribution of grades (a, b, c, d, f) in a course, it would be correct to use

Answers

In order to display the distribution of grades (a, b, c, d, f) in a course, it would be correct to use a bar chart.

To create a bar chart to display the distribution of grades in a course, you would first need to gather the data on the number of students who received each grade. Once you have gathered this data, you can use a computer software tool or graph paper and a pencil to create the bar chart.

When creating the chart, you would label the x-axis with the different grades (a, b, c, d, f) and the y-axis with the number of students. Then, you would draw a bar for each grade, with the height of the bar representing the number of students who received that grade. You can also add a legend to the chart to provide more information about the data, such as the percentage of students who received each grade.

Thus, a bar chart would be the best to use for dispaying the distribution of grades.

Learn more about bar chart by visiting the link below:

brainly.com/question/15507084

#SPJ4

the midpoint of AB is M=(1,3). one endpoint is A=(4,1). find the coordinates of the other endpoint, b.

Answers

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad B(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x +4}{2}~~~ ,~~~ \cfrac{ y +1}{2} \right) ~~ = ~~\stackrel{\textit{\LARGE M}}{(1~~,~~3)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ x +4}{2}=1\implies x+4=2\implies \boxed{x=-2} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ y +1}{2}=3\implies y+1=6\implies \boxed{y=5}[/tex]

Other Questions
a small car of mass 420 kg is pushing a large truck of mass 940 kg due east on a level road. the car exerts a horizontal force of 1600 n on the truck.What is the magnitude of the force that the truck exerts on the car? where s is weekly sales in dollars and t is the number of weeks since the end of the campaign. (a) find the rate of change of s (that is, the rate of sales decay). FILL IN THE BLANK. The amplitude of the sinusoidal symmetrical ac component of the three-phase short-circuit current of an unloaded synchronous machine decreases from a high initial value to a lower steady-state value, going through the stages of _____ and _____ periods. Create an inequality with 0-9 Reading seems to be the main_________________________________. It is a very useful skill______________________________. It is through reading that academic disciplines _______________________________________. One major objective of reading at university or college is ________________________________________. This means that students need to __________________________________________ in order to be successful in their university studies. It is also important to note that the approach to reading varies according to _______________________, and there are different ways of tackling reading based on ______________________________________. Thus, to make the best use of their reading, students need to _________________________ in addition to using the abilities that they already possess when they come to university. m and p are in direct proportion.The equation of proportionality is m = 8p.If p increases from 3 to 7, how much will m increase by?If your answer is a decimal, give it to 1 d.p. in fig. 12-30, trying to get his car out of mud, a man ties one end of a rope around the front bumper and the other end tightly around a utility pole 18 m away. he then pushes sideways on the rope at its midpoint with a force of 550 n, displacing the center of the rope 0.30 m, but the car barely moves.what is the magnitude of the force on the car from the rope? (the rope stretches somewhat.) Calculate the acceleration of the car in stage A if it has a mass of 1200kgstage A: 3000N the user interface design principle that places an emphasis on making sure the users know where they are in the system at all times and what information is being displayed is: group of answer choices integration layout content awareness aesthetics g what are the major disadvantages of the use of the net present value method of analyzing capital investment proposals? ll of the following are components of Sternberg's triangular theory of love except _____.(a) compassion(b) intimacy(c) commitment(d) passion. Michaels class grew plants as part of the experiment. Michaels plant grew 1/12 inch in the first week, 3/12 of an inch in the second week, and 5/12 of an inch in the third week. How much did Michaels plant grow in those three weeks? A vehicle undergoes acceleration when it Speeds upSlow downChange direction All of the above If the simple interest on 4000$ for 6 years is 1440$ then, what is the interest rate? Plot the GNP series, gnp, and then test for a unit root against the alternative that the process is explosive. State your conclusion.Hint: [in R]library(astsa)library(tseries)head(gnp)print(gnp) Which function models the data in the table below?y = -1/2x + 5y = -2x + 5y = -1/2x + 10y = -2x + 10 High Plains Inc. manufacturers furniture in North Dakota. High Plains receives its wood from a lumber yard in Calgary. The lead time for orders is 3 weeks. One of their board costs $15 per unit and the holding cost for this board is $0.5 per week. They manage their inventory to achieve a 99 percent in-stock probability. Weekly demand is for 250 boards with a standard deviation of 200. Use Table 11.5a.How many boards do they have on on order on average?boardsb.How many boards do they have on hand on average?boardsc.For this board what is the total holding cost incurred per week?per week(Round your answer to 2 decimal places.)d.What is the holding cost they incur per board?per board during chemiosmosis why do a tv production link to the proton gradient make the electron transport chain water vapor is a greenhouse gas that may actually cool the earth's climate. this is because: a) water can be a gas, but it can also be present in the atmosphere as ice, snow, sleet, and hail. b) water vapor lowers earth's temperature by evaporative cooling. c) increased water vapor would increase cloudiness, which increases earth's albedo. d) increased water vapor would increase cloudiness, which decreases earth's albedo. determine if the line integral of the vector field sketched in the figure along the curve c is positive, negative, or zero.