2
4x + 1
4
3
6
5
2x + 41
7
What is the value of x?
V

If the dining hall is located at (-12,6) and the stables are located at (20,6), then the dining hall is 32  units apart from the stables

The location of the dining hall = (-12,6)

The location of the stables = (20,6)

The distance between the two points d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Where d is the distance between the two points

[tex](x_1,y_1)[/tex] is the coordinates of the first point

[tex](x_2,y_2)[/tex] is the coordinates  of the second point

Substitute the values in the equation

d = [tex]\sqrt{20-(12))^2+(6-6)^2}[/tex]

= [tex]\sqrt{1024}[/tex]

= 32 units

Hence, if the dining hall is located at (-12,6) and the stables are located at (20,6), then the dining hall is 32  units apart from the stables

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Answer: (y-(-43))=-7(x-6) and y=-7x-1

Step-by-step explanation:

1) Pick two points. I'll choose (3,-22) and (6,-43)

2) Next set it up in a rise-over-run function

-43 - (-22)

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

6    -  3

3) Solve

-21/3

-7

The slope is -7

4) Find the starting value.

You can do this by substituting two points in a slope-intercept equation(y=mx+b)

y=-7x+b

-22=-7(3)+b

-22= -21+b

-1=b

The starting value is -1.

5) Slope intercept form

We can put all the info together to find that the slope-intercept is:

y=-7x-1

6) Point-slope form:

Point slope form equation is this: y-y1=m(x-x1)

y1 and x1 are one of the points while keeping x and y as variables

So our final equation is (y-(-43))=-7(x-6)

When dividing 4 by 280.8, the answer gotten is 0.014245.

It should be noted that decimal numbers are numbers that have whole numbers as well as fractional parts. One of the number types in algebra that has a whole integer and a fractional portion separated by a decimal point is a decimal. The decimal point is the dot that appears between the parts of a whole number and a fraction. An example of a decimal number is 34.5. Examples are 2.4 and 9.34.

To divide a decimal by a whole number, follow these steps.

In this case, Dividing 4 by 280.8 will give a value of 0.014245.

Therefore the value is 0.014245.

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Dividing 4 by 280.8  gives

given data

4 ÷ 280.8

4 ÷ 280.8 = 4 / 280.8

= 4 / 280.8

= [tex]\frac{4}{\frac{2808}{10} }[/tex]

= 4/1 * 10 /2808

= 40 / 2808

= 20 / 1404

= 10 / 702

= 5 / 351

5//351 is the lowest form of the fraction and in decimal it is solved as

= 5 / 351

= 0.01424501425

= 0.0142 ( to 4 decimal place )

Decimals refers to number types which are displayed using points. The points used here is called decimal points.

Numbers appearing after the decimal point is not a whole number. If the set of number bearing decimal point has zero as the first and only number, then the whole number is not up to a whole number.

This is synonymous to the case of the solved problem. The number 0.0142 does not have a whole number part. Hence the number is less than 1

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Solution:

The slope of a line that passes through two given points A and B, is expressed as

Given that the line passes through the points (-8, 4) and (-8, -9), this implies that

By substituting these values into the slope formula, we have

Hence, the slope of the line that passes through the points (-8, 4) and (-8. - 9) is evaluated to be

at infinity.

The surface and of the cone is

The volume of the cone is

What is a cone?

A cone is a three-dimensional geometric shape that tapers smoothly from a flat base (frequently, though not necessarily, circular) to a point called the apex or vertex.

We are given that radius of the cone as 5yd and slant height as 13yd

We first find the height using pythagoras theorem

Let height be h

by Pythagoras theorem we have

[tex]r^{2}+h^{2}=13^2\\ 5^2+h^2=169\\ h^2=144\\h=12[/tex]

Height of the cone is 12yds

Now volume of the cone is given by

[tex]V=[/tex]π[tex]r^{2}\frac{h}{3}[/tex]

Substituting the values in the equation we get

[tex]V=100[/tex]π yd^3

Now we find the surface area

The formula for surface area is

[tex]A=r(r+\sqrt{r^2+h^2} )[/tex]π

Substituting the values in the equation we get

[tex]A=90[/tex]π yd^2

Hence the surface area of the cone is 90π yd^2

And the volume of the cone is 100π yd^3

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The value of the Constant of Proportionality will be $2.19.

In the given question, it is stated that 3 pounds of grapes cost $6.57. We have to calculate and find out the Constant of Proportionality.

The constant of Proportionality is a constant term in the equation that does not vary and has a fixed value that represents a certain quantity in a given situation.

Here, we know that 3pounds cost $6.57. Taking:

y = Total Cost

x = Number of Pounds

c = Constant of Proportionality

We get the equation to represent the Total cost with respect to the number of pounds where c will be the proportionality constant which defines the unit price of a pound. The equation will be:

=> y = c*x

=> 6.57 = 3c

=> c = 2.19

Hence, we get the Constant of Proportionality $2.19

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Rafael is fertilizing his garden. The garden is in the shape of a rectangle. Its length is 16 feet and its width is 13 feet. Suppose each bag of fertilizer covers 26 square feet. How many bags will he need to cover the garden?​

step 1

Find the area of the garden

Remember that the area of a rectangle is equal to

A=L*W

we have

L=16 ft

W=13 ft

substitute

A=16*13

A=208 ft^2

step 2

we know that

each bag of fertilizer covers 26 square feet

so

Applying proportion

1/26=x/208

solve for x

x ----> number of bags

x=(1/26)*208

x=8 bags

therefore

In 12 cups of flour,we are going to have 2 cups of flour in six(6) places.

Thus, for 12 cups of flour, Mrs Smith will use:

The credit hours that a student has to take for the two tuition costs to be equal is A. 250 + 200h = 300 + 180h

From the information, the tuition costs, C, for a local community college are modeled by C(h) = 250 + 200h

h = the number of credit hours taken.

The local state university has tuition costs, S, modeled by the function S(h) = 300 + 180h.

Therefore, the credit hours that a student have to take for the two tuition costs to be equal will be:

250 + 200h = 300 + 180h

200h - 180h = 300 - 250

20h = 250

h = 250/20

h = 12.5 hours.

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The length of the each side of the square garden of Jessica is found as 10.77 ft.

For the given question,

Jessica is making a square garden in her backyard.

The compost bought is to cover the area of the 116 ft².

The formula for the area is given as;

A = s² , where s is the length of the side of the square.

Put the values.

116 = s²

Taking square root both side.

s = √116

s = 10.77

Thus, the length of the each side of the square garden of Jessica is found as 10.77 ft.

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After solving : 100!/12^50, we get 1.025513e+104

Here, 100 factorial or 100!

The result of multiplying an integer by each natural number below it is the factorial of that number.

A factorial can be symbolically denoted by the sign "!"

The first n natural integers are added together to form "n factorial," which is represented by the number n.

100! = 100 × 99 × 98 × .... × 3 × 2 × 1 = 9.332621544 E+157.

This product is too big to calculate manually and hence a calculator is used.

Now, 9.332621544 E+157 / 12 ^ 50 = 1.025513e+104

Hence, after solving 100!/12^50, we get 1.025513e+104

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Answer: 116 degrees

Step-by-step explanation: add JKM and MKL together to get JKL

Answer:

I am 99% certain that the answer is c. because it has defiantly been reflected. and if you look at the points in order for them to be moved like that it would have had to have been rotated first.

hope this helped!

Answer:ok

Step-by-step explanation: good job

The output of the program code block given will be two.

Python is a high-level, general-purpose programming language. Its design philosophy emphasizes code readability with the use of significant indentation.

Given is the following code structure -

x = 6 % 2

if x == 1:

  print("ONE")

else:

  print("TWO")

If we dry run the program, we can write -

x = 6 % 2

x = 0

Now, x is not equal to 1, therefore, it will print two.

Therefore, the output of the program code block given above will be two.

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$134 is the amount paid by grandparents every month.

Percentage as the name suggests is a ratio of some particles to 100. In order to get the value of the required amount one has to divide the value by 100.

It is given that the  tuition fee is $180 per week = $720 per month

It is also provided that she receives an honour rule of $50 per month.

So, her fees per month is $720- $50= $670.

It is given that 20% of the fees is paid by grandparents.

So, percentage share = 20% of $670 =20/100 x $ 670 = $134

So, $134 is paid by the grandparents every month.

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Answer:

Step-by-step explanation:

If  the probability that the florist shop will get at most 4 phone orders in a 30 minute period using the Poisson distribution, the average number of phone orders per 30 minutes is 5.

Given data:

Average 18 phone order in 2 hour

4 phone orders in a 30 minute

Let x  represent the average number of phone orders in 30 minutes.

Hence

then x30=18/120

Solving  for x

x =18(30)/120

x = 540 / 120

x = 4.5

x = 5 (Approximately)

Therefore we can conclude that 5 is the average number of phone that was order.

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"y is a function of x." The input value, or independent variable, is represented by the letter x. The dependent variable or output value is denoted by the letter y, or f(x).

f(x) = 2x + 5.

f(x+3) = 2(x+3) + 5.

f(x+3) = 2x + 11.

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The results of the operation of multiplication between two functions are, respectively:

According to function theory, there are five operations between two functions to create resulting functions:

In this problem we must use the operation of multiplication between two functions.

Case 1

(f · g)(x) = (2 · x + 4) · (x² + 4 · x + 4)

(f · g)(x) = (2 · x + 4) · x² + 4 · (2 · x + 4) · x + 4 · (2 · x + 4)

(f · g)(x) = 2 · x³ + 4 · x² + 8 · x² + 16 · x + 8 · x + 16

(f · g)(x) = 2 · x³ + 12 · x² + 24 · x + 16

Case 2

(h · g)(x) = (x² - 4) · (x² + 4 · x + 4)

(h · g)(x) = (x² - 4) · x² + (x² - 4) · (4 · x) + (x² - 4) · 4

(h · g)(x) = x⁴ - 4 · x² + 4 · x³ - 16 · x + 4 · x² - 16

(h · g)(x) = x⁴ + 4 · x³ - 16 · x - 16

Case 3

(f · h)(x) = (2 · x + 4) · (x² - 4)

(f · h)(x) = 2 · x³ - 8 · x + 4 · x² - 16

(f · h)(x) = 2 · x³ - 4 · x² - 8 · x - 16

(f · h)(2) = 2 · 2³ - 4 · 2² - 8 · 2 - 16

(f · h)(2) = - 32

Case 4

(g · f)(x) = (x² + 4 · x + 4) · (2 · x + 4)

(g · f)(x) = 2 · x³ + 12 · x² + 24 · x + 16

Case 5

(g · h)(x) = (x² + 4 · x + 4) · (x² - 4)

(g · h)(x) = x⁴ + 4 · x³ - 16 · x - 16

Case 6

(f · h)(x) = (2 · x + 4) · (x² - 4)

(f · h)(x) = 2 · x³ - 4 · x² - 8 · x - 16

Case 7

(h · g)(x) = (x² - 4) · (x² + 4 · x + 4)

(h · g)(x) = x⁴ + 4 · x³ - 16 · x - 16

(h · g)(1) = 1⁴ + 4 · 1³ - 16 · 1 - 16

(h · g)(1) = - 27

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Int the place of F(x) PLUG IN 4X+6 AND THEN SIMPLIFY THE EXPRESSION.BELOW IS THE RESPONSE:

[tex]g(x) = \frac{1}{2} \times (4x + 6) \\ g(x) = \frac{1}{2} \times 2(2x + 3) \\ g(x) = 2x + 3[/tex]

g(x)=2x+3

IT MEANS IN THE BLANKS YOU WILL INSERT 2 IN THE FIRST BLANK AND IN THE SECOND BLANK INSERT 3

HOPE THIS HELPS

Answer: Here you go

Step-by-step explanation:

Based on the mathematical statement, the unit rate is 3/4 books per hour

The mathematical statement is given as

"rewrite 1/4 book 1/3hour as a unit rate"

The above means that

Book = 1/4

Time = 1/3 hour

The unit rate is then calculated as

Unit rate = Book/Time

Substitute the known values in the above equation

So, we have the following equation

Unit rate = (1/4)/(1/3)

Evaluate

Unit rate = 3/4

Hence, the solution is 3/4 books per hour

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Answer: The answer is A) There are no solutions to the system because the equations represent parallel lines.

Step-by-step explanation: got it on edge 2022

Answer:

There are no solutions to the system because the equations represent parallel lines

Step-by-step explanation:

Answer:

1a. 4/6

1b. 6/9

1c. 8/12

2. [tex] \frac{6}{12} [/tex]

3. 8/16

Step-by-step explanation:

1a. Multiply top and bottom value by 2

1b.multiply top and bottom value by 3

1c. multiply top and bottom value by 4

2.To get your denominator to twelve you multiply it by 2. and if you multiply by two at the bottom you also multiply by two on top.

3.to get your denominator to 16 multiply the denominator by 8. If you multiply the bottom you should multiply the top with the same value as well.

Please find attached the dilated image of triangle ΔXYZ obtained by using a scale factor of 1.5, with the center of dilation at (0, 0), giving the coordinates of the vertices at the points X'(-6, 3), Y'(9, 0) and Z'(-3, -6).

A dilation transformation is one in which the lengths of a figure are scaled up or down.

From a similar question online, we have:

The vertices of the triangle ΔXYZ are: X(-4, 2), Y(6, 0), and Z(-2, -4)

The given center of dilation is (0, 0)

The scale factor of the dilation is 1.5

The coordinates of the points on the image following a dilation of the point (x, y) by a scale factor of k about the origin is given by the formula:

(x, y) [tex]\underrightarrow{R_k}[/tex] (k·x, k·y)

Therefore, the coordinates of the vertices of the image of the triangle ΔXYZ following a dilation by a scale factor of 1.5 are:

X(-4, 2) [tex]\underrightarrow{R_k}[/tex] X'(1.5×(-4), 1.5×2) = X'(-6, 3)

Y(6, 0) [tex]\underrightarrow{R_k}[/tex] Y'(1.5×6, 1.5×0) = Y'(9, 0)

Z(-2, -4) [tex]\underrightarrow{R_k}[/tex] (1.5×(-2), 1.5×(-4)) = (-3, -6)

The vertices of the dilated image of ΔXYZ, which is ΔX'Y'Z' are; X'(-6, 3), Y'(9, 0), Z'(-3, -6)

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Based on the reflexive property of congruency, the other pair of sides that we know are congruent is: 1. QS = SQ.

The reflexive property of congruency states that a line will always be a congruent to itself. This means it will always be equal in measure to itself.

In the diagram given showing triangle QSP and triangle SQR, we are given that sides PQ and RS are congruent so also are angles PQS and RSQ.

However, we can also see that both triangles share a common side, side QS. Therefore, side QS is congruent to side SQ by the reflexive property of congruency.

This implies that another pair of sides would be: 1. QS = SQ.

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