A coordinate plane is labeled Street on the x-axis and Avenue on the y-axis. Ping is at point (3, 6) and Ari is at point (21, 18). A line is drawn from Ping to Ari.

Ping lives at the corner of 3rd Street and 6th Avenue. Ari lives at the corner of 21st Street and 18th Avenue. There is a gym Two-thirds the distance from Ping's home to Ari's home.

x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1

y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1

Where is the gym?
9th Street and 10th Avenue
12th Street and 12th Avenue
14th Street and 12th Avenue
15th Street and 14th Avenue

Answers

Answer 1

The place where the gym is located based on the information given about the coordinate plane is D. 15th Street and 14th Avenue

How to illustrate the information?

From the information given, the coordinate plane is labeled Street on the x-axis and Avenue on the y-axis. Ping is at point (3, 6) and Ari is at point (21, 18) and a line is drawn from Ping to Ari.

In this case, the place where the gym is located based on the information given about the coordinate plane is the 15th Street and 14th Avenue.

The graph is attached to illustrate this.

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A Coordinate Plane Is Labeled Street On The X-axis And Avenue On The Y-axis. Ping Is At Point (3, 6)

Related Questions

The diameter of a sphere is 16.4 mm Calculate the sphere's volume
Use the value 3.14 for pi , and round your answer to the nearest tenth. (Do not round any intermediate computations.)

Answers

The volume of the sphere is 2308.4 mm³

Calculating the volume of a Sphere

From the question, we are to determine the volume of the sphere

The volume of a sphere is given by the formula

[tex]V=\frac{4}{3}\pi r^{3}[/tex]

Where V is the volume

and r is the radius

From the given information,

Diameter, d, of the sphere = 16.4 mm

r = 16.4/2

r = 8.2 mm

∴ [tex]V=\frac{4}{3}\times 3.14 \times 8.2^{3}[/tex]

V = 2308.394

V ≅ 2308.4 mm³

Hence, the volume of the sphere is 2308.4 mm³

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PLEASE HELP!!!!!!!!!!!!!!ASAP, I MEAN THAT AS NICE AS POSSIBLE, THANKS!!!!!!!!!!!!

Answers

34 degrees is the measurement of angel ABC
Answer 34
ABD - CBD = ABC
64-30 = 34

If Jamari pays $25 at the beginning of the month, he will pay only $5 per hour for using Vic Sporting facility. The information is recorded in the table on the image inserted. Write an equation for y, the cost of spending x hours at the sporting facility each month.

Answers

Answer:

Y = 5x + 25

Step-by-step explanation:

$25 is the constant, meaning regardless of the time he spends, he will not pay more or less.

However, he pays 5 dollars for every hours (x) = 5x

PQ¯¯¯¯¯ and PR¯¯¯¯¯ are tangent to ⊙ S. Identify PQ.
pls help 30 points

Answers

Answer:

9

Step-by-step explanation:

Because line PQ and line PR are both tangent to circle S, it would result in them being equal. So first to find PQ, you would have to find the value of variable x. To do this you would set both equations equal to each other and solve

6x - 9 = 2x + 3

-2x       -2x

4x - 9 = 3

    +9   +9

4x = 12

x = 3

Now you have to substitute 3 back into the equation for PQ:

6(3) - 9

18 - 9

= 9

Resulting in PQ = 9, to check your answer, take the value of x (3) and substitute it into PR and you should also get 9

2(3) + 3

6 + 3

= 9


send help lol confused

Answers

Answer:

C. 0≤x≤7

Step-by-step explanation:

It is not choice D. because it has y instead of x. It is supposed to be x because it is asking for domain.

Hope this helps!


Here are six number cards.
9 7 5 -4 -2 0
Arrange the cards into three pairs with the same total.
Note: Please write each pair on separate lines and
use the word 'and' between the numbers (eg. 7 and -3).

Answers

9 and -4
7 and -2
5 and 0

Each and every pair has a total of 5.

Answer:

9 and-4

7 and -2

5 and 0

Step-by-step explanation:

When ya subtract 4 from 9 you get 5

the same applies to the rest.

Write the correct postulate, theorem, property, or definition that justifies the statement below the diagram.

Answers

The correct theorem or definition that justifies the given statement for the diagram is; Definition of a Right angle Triangle

What is the angle postulate?

We are given that;

∠MRS ≅ ∠MRO

Now, what that means is that ∠MRS is congruent to ∠MRO. Thus, to understand this concept of equality or congruence, we can prove it since  from the given image, we see that;

m∠MRS = m∠MRO = 90°

Since they are both right angles then we can say that the correct theorem is the definition of a right angle triangle.

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The sum of 5 consecutive even integers is 4 less than the sum of the first 8 consecutive odd counting numbers. What is the smallest of the even integers

Answers

The smallest of the even integers is 8.

It is a well-known fact that the sum of the first n odd numbers is n^2. This makes the sum of the first 8 odd numbers equal to 64.

Let n be equal to the smallest of the 5 even integers. Then (n+2) is the next highest, (n+4) even higher, and so on.

This sets up the equation n+(n+2)+(n+4)+(n+6)+(n+8)+4=64

Now we solve:

5n+24 = 64

5n = 40

n = 8

The smallest of the even integers is 8.

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The equations in this sytem were added to solve for x. What is the value of x?
-6x+4y=-8
6x-12y=14

.-16y=6
.-8y=6
.-8y=-22
.-16y=-22

Answers

Answer:

x=5/6 but since you gave options in terms of y: -8y=6

Step-by-step explanation:

When you add equations together to solve for a systems of equations, it because you want to cancel out one of the values, and in this case it's the 6x, since the 6x + (-6x) = 0

Now all you need to do is add the -12 and 4y and you get -8y which is going to be the left side of the equation

Now add the -8 and 14 and you get 6 which is going to be the right side of the equation. This gives you the equation:

-8y = 6

Divide both sides by -8

y =  -0.75

Now plug this into either original equation but in this case I'll just use the -6x+4y=-8

Plug in -0.75 as y

-6x+4(-0.75) = -8

-6x-3=-8

-6x=-5

Divide both sides by -6

x=5/6

The quadratic $x^2 1300x 1300$ can be written in the form $(x b)^2 c$, where $b$ and $c$ are constants. What is $\frac{c}{b}$

Answers

The value of c/b when the quadratic equation x² + 1300x + 1300 is written in the form (x + b)² + c, b and c being constants is -648.

The given quadratic expression needs to be expressed using the perfect square method to be of the form (x + b)² + c.

We express the quadratic expression x² + 1300x + 1300 using the perfect square method following these steps:

x² + 1300x + 1300

= x² + 2x(1300/2) + (1300/2)² + 1300 - (1300/2)²

= x² + 2x(650) + (650)² + 1300 - (650)²

= (x + 650)² + 1300 - 422500

= (x + 650)² - 421200.

Comparing this to (x + b)² + c, we get:

b = 650, and c = -421200.

Therefore, the value of c/b = (-421200)/650 = -648.

Therefore, the value of c/b when the quadratic equation x² + 1300x + 1300 is written in the form (x + b)² + c, b and c being constants is -648.

The question seems improper. The proper question is:

" The quadratic x^2+1300x+1300 can be written in the form (x + b)^2+c, where b and c are constants. What is c/b?"

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PLSSS HELP!!!
Which equation is represented by the graph below?

Answers

Answer:

hope it will help you to

hope it will help you

It would be y = ex - 4

As a suggestion, I would recommend using the desmos calculator online. It's an entirely free graphing calculator and helps with questions like this. I hope that helps!

The volume of a cone is 1782 cm³ a cylinder has the same radius and height as the cone what is the volume of the cylinder

Answers

Answer:

A

Step-by-step explanation:

cone volume equals

V=π/3r²h

(1782=π/3r²h) multiplied by 3 to get rid of the denominator

5346=πr²h

cylinder v=πr²h by substitution the volume would be the same as cone 5346

ASAP PLS HELP
Which function is the inverse of f(x)=12x+5?
f−1(x)=2x+10
f−1(x)=2x−5
f−1(x)=2x−10
f−1(x)=2x+5

Answers

Answer:

Step-by-step explanation:

The quadratic equation 5x2 45x 24 = 0 was solved using the quadratic formula, x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a. one solution is −8.43. what is the other solution? round to the hundredths place. 8.43 0.05 −0.57 −1.14

Answers

Answer:

Please review the equation format.  I made an assumption (below) for this answer.

-0.57

Step-by-step explanation:

5x2 45x 24 = 0 is not a quadratic formula,

5x^2 + 45x + 24 = 0 is, however.  Also, it gives -.8.43 as one solution.  The other is −0.569351, or -0.57 to the nearest hundredth.

The other solution of the given quadratic equation would be -0.57

Quadratic Equation

An algebraic equation of the second degree in x is known as a quadratic equation. The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.

The given quadratic equation is,

5x² + 45x + 24 = 0

Here,

a = 5

b = 45

c = 24

Applying the Quadratic Formula

The quadratic formula for the two roots of a quadratic equation is given as,

[tex]x=\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]       ........... (1)

and [tex]x=\frac{-b+\sqrt{b^{2}+4ac } }{2a}[/tex]   ............ (2)

Substituting the values of a, b, and c in equation (1), we get,

x = -8.43

Calculating the Second Root

Now, the other solution can be found by substituting the values of a, b, and c in the equation (2),

[tex]x=\frac{-45+\sqrt{45^{2}+4(5)(24) } }{2(5)}[/tex]

[tex]x=\frac{-45+\sqrt{(2505) } }{10}[/tex]

[tex]x=-0.57[/tex]

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Carmen is planning rail lines for a new train station. Help her find
. Explain how you found that solution.

Answers

The angle based on the information given about the rail is 163°.

How to illustrate the information?

From the information given, the value of angle 2 will be:

17° + x = 180° (angle on a straight line)

Collect like terms

x = 180° - 17°

x = 163°

In this case, it should be noted that angle 1 and 2 are alternate angles. Therefore, angle 1 will be 163°.

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Find the surface area of the composite figure.​

Answers

The surface area of the composite figure shown in the image is 952 ft²

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Surface area of composite is the sum of the individual areas of the surface.

Hence:

Surface area of composite = 2(14 * 9) + 2(0.5 * 10 * 8) + 2(10 * 10) + 2(10 * 14) + (10 * 14) = 952 ft²

The surface area of the composite figure shown in the image is 952 ft²

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A new washing machine is purchased for $300. it's value depreciates 20% every year for the first 6 years of its life

Answers

The value of the washing machine after 6 years with 20% depreciation every year is $78.64.

What is depreciation?

Depreciation is the practice of subtracting a business asset's cost over a number of years as opposed to just one.

Depreciation is used to adjust the cost of a productive asset with a longer-than-year-long useful life to the income generated by operating the asset. The expense of the asset is typically dispersed across the years that it is utilized.

Calculation for the asset value after depreciation of 20% every year.

The purchasing cost of washing machine is $300.

The rate after 6 years is-

Rate = purchased price×[tex](1-r)^{t}[/tex]

       = 300×[tex](1-0.2)^{6}[/tex]

       = 300×[tex]0.8^{6}[/tex]

       = 78.64

The cost of washing machine after 6 years will be $78.64.

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Can y’all help this is for Plato !!!!!! PLEASEEE HELP ME

Answers

The two real values that are not in the domain of the composition are x = 2 and x = -2.

What two numbers are not in the domain of f°g?

Here we have:

f(x) = 1/x

g(x) = x^2 - 4

The composition is:

f°g = f(g(x)) = 1/(x^2 - 4)

The two values that are not in the domain are the values of x such that g(x) = 0, because we can't divide by zero.

g(x) = 0 = x^2 - 4

4 = x^2

±√4 = x

±2 = x

So g(x) = 0 when x = 2 or x = -2, so these are the two real values that are not in the domain of f°g.

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10
TIME REMAINING
59:02
Which is the graph of the linear inequality 2x – 3y < 12?

On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the right of the line is shaded.

On a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the right of the line is shaded.

On a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the left of the line is shaded.

On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the left of the line is shaded.

Answers

The graph of the inequality will be B. on a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the right of the line is shaded.

How to get the graph?

It can be deduced that the coordinates satisfy the equation of the line.

3y = 2x - 12

Divide through by 3.

y = 2/3x - 4.

The slope is 2/3.

In conclusion, the correct option is B.

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Answer:

b

Step-by-step explanation:

You have several numbers in a data set: 5, 7, 9, 11, 13, 15, 17. What is the z Score for the number 7

Answers

The z score for the number 7 is -0.92.

The standard deviation is 4.32

X is the score that is 7 given.

We have to calculate the z score for doing so we need the mean also.

Mean is obtained by dividing the sum of numbers / total frequency.

Mean = Summation of numbers / total numbers

= 5, 7, 9, 11, 13, 15, 17 / 7

= 77/7

= 11

Formula of z-score, Z= x - mean /S.D.

x is the number that is 7.

S D is the standard deviation.

Z= 7-11 / 4.32

= -4/4.32

Z score = -0.92

In data, the standard deviation is a degree of the quantity of version or dispersion of a fixed of values. A low fashionable deviation suggests that the values have a tendency to be near the suggest of the set, while a high widespread deviation shows that the values are spread out over a much broader range.

Standard deviation is vital because it is able to assist users check chance. Bear in mind a funding option with a median annual return of 10% in line with the year. However, this average changed into derived from the past three-year returns of 50%, -15%, and -5%. with the aid of calculating the same old deviation and understanding your low likelihood of really averaging 10% in any single given 12 months, you're better armed to make knowledgeable decisions and apprehend underlying risk.

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What is the difference?
X
3
x²-16 X-4
2(x+6)
O (x+4)(x-4)
O
-2(x+6)
(x+4)(x-4)
X-3
(x+5)(x-4)
-2(x-6)
(x+4)(x-4)

Answers

Answer:

your question is wrong, it's not an expression but a quadratic equation. if so your answer will be x=8±2√7

Step-by-step explanation:

by using, completing the square method

x²-16x-4=0

x²-16x=4

x²-16x+(-16×0.5)²=4+(16×0.5)²

x²-16x-8²=4+8²

(x-8)²=68

x-8=√68

x-8=±2√7

so x=8±2√7

please next time write the correct question

Solve the triangle.
Round your answers to the nearest tenth.
If there is more than one solution, use the button labeled "or".

Answers

The value of the side b and c will be 58.57 units and 36.86 units, and angle ∠B will be 107°.

What is law of sines?

Let the triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c.

Then by the sine law, we have

[tex]\rm \dfrac{\sin\angle A}{a} = \dfrac{\sin\angle B}{b} = \dfrac{\sin\angle C}{c}[/tex]

The sum of angles of triangle is 180°.

∠A + ∠B + ∠C = 180°

36° + ∠B + 37° = 180°

                  ∠B = 107°

Then the side b will be

sin 36° / 36 = sin 107° / b

                b = 58.57 units

Then the side c will be

sin 36° / 36 = sin 37° / c

                c = 36.86 units

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The length of a picture is 10.5cm and the diagonal is 18.2cm . What width must have to meet a right angle ?

Answers

The width that must meet a right angle is 14.87 cm

How to determine the width?

The given parameters are:

Length = 10.5 cmDiagonal = 18.2 cm

The width is calculated using the following Pythagoras theorem.

Width^2 = Diagonal^2 - Length^2

So, we have:

Width^2 = 18.2^2 - 10.5^2

Evaluate

Width^2 = 220.99

Take the square root of both sides

Width = 14.87

Hence, the width that must meet a right angle is 14.87 cm

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How many five digit numbers can be created? pls help will mark brainliest

Answers

There are 120 five digit numbers that can be created

How to determine the number of digits?

The digits are given as:

2, 3, 5, 7 and 8

Since there are no conditions, and the digits cannot be repeated.

Then the number of digits is:

Digits = 5!

Expand

Digits = 5 * 4 * 3 * 2 * 1

Evaluate

Digits = 120

Hence, there are 120 five digit numbers that can be created

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Suppose that the linear probability model yields a predicted value of Y that is equal to 1.3. Explain why this is nonsensical. A. The predicted value of Y must be between 0 and 1. B. The predicted value of Y is a positive number. C. The predicted value of Y is too low. D. The predicted value of Y is not an integer.

Answers

The predicted value of Y must be between 0 and 1.

A linear probability model (LPM) is a regression model where the outcome variable is a binary variable, and one or more explanatory variables are used to predict the outcome. Explanatory variables can themselves be binary, or continuous.

Suppose, that the linear probability model yields a predicted value of Y that is equal to 1.3.

This is nonsensical because

The predicted value of Y must be between 0 and 1.

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Hey i need help with this problem i cant figure it out

Answers

Answer:

inverse variation: xy=20

Step-by-step explanation:

Direct Variation is when y increases as x increases and is linear

Inverse Variation is when y decreases as x increases although it's not linear and the x and y has a constant product.

By observing the table, you'll see as x increases, y decreases. You'll also notice a constant product of 20 between x and y. (2 * 10) =  20. (4 * 5) = 20. ( (8 / 1) * (5 / 2) = 40/2 = 20))... and so on. So the function can be represented as xy = 20

What is DF=
Help me please thank you :)

Answers

The value of DF = 20.

What is similarity?

Two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.

Given:

Using theorem

If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.

ΔSDF/Δ RTY = (SD/RT)= (DF/TY)=  (FS/ YR)

ar ΔSDF² / ar  ΔRTY² = 16/81

SD/ RT = 4/9

SD = 4x,  RT= 9x

SD= 8

4x = 8

x = 2

So,

RT=  9*2 = 18

SF = RT -2

SF = 16

(SD/RT)= (FS/ YR)

8 / 18 = 16/ YR

YR= 36

TY= 9 +RY = 45

(DF/TY)=  (FS/ YR)

DF / 45= 16/ 36

DF=20

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Let X = the number of heads in 4 flips of a fair coin. Use the probability distribution of X found here to calculate the
probability of each event.
at least 2 heads
exactly 2 heads
not all heads
more than 2 heads
0.3125
0.9375
0.6875
0.375

Answers

You could answer using a Binomial Distribution but let’s try the sample space

There are a total of 16 possible outcomes
No heads TTTT
One head HTTT, THTT, TTHT, TTTH
Two heads HHTT, HTHT, HTTH, THHT, THTH, TTHH
Three heads HHHT, HHTH, HTHH, THHH
Four heads HHHH
Because P(H) = P(T) they are all equally likely (it is a fair coin)

P(at least 2 heads) = 11/16 = 0.6875
P(exactly 2 heads) = 6/16 = 3/8 = 0.375
P(not all heads) = 1 - P(all heads) = 15/16 = 0.9375
P(more than 2 heads) = 5/16 = 0.3125

10. The cost of manufacturing a kitchen cabinet consists of the cost of materials at $250, labour cost at $120 and warehousing cost at $60. After a change of management, the cost of materials and labour cost are increased by 10% and 8% respectively, and warehousing cost is decreased by 18%. Calculate the percentage change in the cost of manufacturing the kitchen cabinet. State whether it is an increase or a decrease.​

Answers

Using proportions, the percentage change in the cost of manufacturing the kitchen cabinet was a increase of 5.5%.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The standard cost is given as follows:

S = 250 + 120 + 60 = $430.

After the increases, the price will be given as follows:

S = 250 x 1.1 + 120 x 1.08 + 60 x 0.82 = $453.8.

The price increased. The percent change, given by the change divided by the initial value, is:

P = 23.8/430 x 100% = 5.5%.

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X=
Help me please thanks

Answers

The value of x will be equal to 6 units.

What is trigonometry?

Trigonometry is the branch of mathematics that set up a relationship between the sides and angle of the right-angle triangles.

Given that:-

Given that the radius of the circle is 9 which is SO= 9 and SG = 9.

Now the value of x will be calculated by using the Pythagorean theorem.

H² = P ² + B ²

OG² = 12² + 9 ²

OG = √225

OG = 15

Since, OG = OH + HG

HG = OG - OH

x  = 15 - 9

x = 6 units

Therefore the value of x will be equal to 6 units.

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If the system 3H2(g) N2(g) 2NH3(g) is at equilibrium and more N2 is added, a net reaction that consumes some of the added N2 will occur until a new equilibrium is reached. Group startsTrue or False What are the values of x and y? (2a-a-7a+2)(a-2) Answer Please When high levels of leptin no longer reduce appetite, as happens in obesity, individuals experience: Help ASAP (2)(Spanish High school) Click to read "The Story of Daedalus and Icarus" by Ovid. Then answer the question.Which statement best reflects the painting's title and its relationship to Brueghel's interpretation of Ovid's story?A.The title helps demonstrate that Brueghel wasn't trying to create an exact representation of the original story.B.The title says that it is a landscape painting first and the "Fall of Icarus" second.C.It is difficult to say how the title and the interpretation relate to one another.D.The title of a painting has little to do with the artists' interpretation of his work. HELPPP PLSSS The center of an eclipse is located at (0, 0). One focus is located at (12, 0), and one directrix is at x = 14 1/2 19Select the correct answer from each drop-down menu.Mr. Montoya instructs the students in his math class to draw a rectangle with a certain area. Catlynn draws a rectangle with a length18 centimeters and a width of 6 centimeters.This proportional situation representsvariation.The constant of variation, k, is equal toif Sergio draws a rectangle with a length of 27 centimeters, the width of the rectangle must becentimeters.ResetNext Laurie is writing a two weeks notice but is having some grammar trouble Read part A. & part B. below A. Working for Cracker Barrel these past 20 months has been a valuable and rewarding experienceB. Working for Cracker Barrel these past 20 months have been a valuable and rewarding experienceWhich one is correct, grammatically? Expressing what or who(m)Direct Objects; The Personal a; Direct Object PronounsD. El cumpleaos de FelipeCsar Eco habla con un amigo de los planes para la fiesta de cumpleaos de su amigo Felipe. Csar contesta todas suspreguntas sobre la fiesta, pero con mucha repeticin. Vuelva a escribir usted sus respuestas con pronombres del complemento directo.MODELOS:- Quin llama a Felipe?-Yo llamo a Felipe. ->Yo lo llamo.-Quin va a llevar las sillas?- Pepe va a llevar las sillas. (two ways) ->Pepe va a llevarlas. / Pepe las va a llevar. context of Theory Y managers in China, managers who are skilled in the management of people and possessing political and ideological expertise are called Estimate the solution to the system of equations.You can use the interactive graph below to find the solution.\begin{cases} -3x+3y=9 \\\\ 2x-7y=-14 \end{cases} 3x+3y=92x7y=14Choose 1 answer:Choose 1 answer:(Choice A)Ax= -1\dfrac25, y=2\dfrac35x=1 52 ,y=2 53 x, equals, minus, 1, start fraction, 2, divided by, 5, end fraction, comma, y, equals, 2, start fraction, 3, divided by, 5, end fraction(Choice B)Bx= -1\dfrac25, y=1\dfrac35x=1 52 ,y=1 53 x, equals, minus, 1, start fraction, 2, divided by, 5, end fraction, comma, y, equals, 1, start fraction, 3, divided by, 5, end fraction(Choice C)Cx= -2\dfrac25, y=2\dfrac35x=2 52 ,y=2 53 x, equals, minus, 2, start fraction, 2, divided by, 5, end fraction, comma, y, equals, 2, start fraction, 3, divided by, 5, end fraction(Choice D)Dx= -2\dfrac25, y=1\dfrac35x=2 52 ,y=1 53 x, equals, minus, 2, start fraction, 2, divided by, 5, end fraction, comma, y, equals, 1, start fraction, 3, divided by, 5, end fraction The fifth-grade teachers at Washington High School are decorating bulletin boards to getready for the new school year. They have 4 large bulletin boards that each need 9 yards ofborder. There is also a small bulletin board that only needs 12 feet of border. If border is soldin 40-foot rolls, how many rolls will the teachers use? The slope indicates initial conditions.O TrueO False Identify and explain at least three common diseases that affect the cardiovascular system?. hat are the strategically relevant components of the U.S. Retail, Family Clothing Stores industry macroenvironment? 2. What is competition like in the family fashion industry? You are trying to drag an object 5.0 m along astraight path. You are pulling with a force of 40 Nalong a rope that is inclined 30 to the horizontal.How much work do you do? The following two-column proof with missing statements and reasons proves that if a line parallel to one side of a triangle also intersects the other two sides, the line divides the sides proportionally: 3. Watson and Crick determined that DNA reproduced by a ______ Watson-Crick_____________________ model, in which the daughter molecules contain _________ of the parent strands and _______ newly synthesized strand. Geometry On one side of a 216 square foot rectangular room is 12 feet. How long is the other side?