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Rudik [331]
2 years ago
5

A university is building a new student center that is two- thirds the distance from the arts center to the residential complex.

What are the coordinates of the new center? Explain.​
The points are (1, 9) and (9, 3)
Mathematics
1 answer:
Natasha2012 [34]2 years ago
7 0

Answer:

C = (\frac{21}{5},\frac{33}{5})

Step-by-step explanation:

Given

Points: (1, 9) and (9, 3)

Ratio = 2/3

Required

Determine the coordinate of the center

Represent the ratio as ratio

Ratio = 2:3

The new coordinate can be calculated using

C = (\frac{mx_2 + nx_1}{n + m},\frac{my_2 + ny_1}{n + m})

Where

(x_1,y_1) = (1, 9)

(x_2, y_2) = (9, 3)

m:n = 2:3

Substitute these values in the equation above

C = (\frac{2 * 9 + 3 * 1}{3 + 2},\frac{2 * 3 + 3 * 9}{2 + 3})

C = (\frac{18 + 3}{5},\frac{6 + 27}{5})

C = (\frac{21}{5},\frac{33}{5})

Hence;

<em>The coordinates of the new center is </em>C = (\frac{21}{5},\frac{33}{5})<em></em>

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A regression analysis of 117 homes for sale produced the following model, where price is in thousands of dollars and size in squ
Vsevolod [243]

Answer:

A) m = 0.062

B) 202.87 thousand dollars

C) Original price = 116.07 thousand dollars. $6000 is called the error term.                                            

Step-by-step explanation:

We are given the following in the question:

Price = 47.87+0.062(size)

The above equation is regression equation where price is in thousand dollars and size in square feet.

Let p be the prize and s be the size.

p(s) = 47.87 + 0.062s

Comparing it to linear equation, we have,

y= mx + c

where m is the slope and c is the y-intercept.

m = 0.062

c = 47.87

A) slope of the line

The slope of line tells the rate of change. Thus, it tells the change in price if the size of house is increased by 1 square feet.

The price of house increases by 0.062 thousand dollars if the size of house is increased by 1 square feet.

B) Price of house

We are given s = 2500. Putting this value in the equation.

p(2500) = 47.87 + 0.062(2500) =202.87

Thus, the price of a 2500 square feet house is 202.87 thousand dollars.

C) We are given s = 1100

Putting the value in the equation:

p(1100) = 47.87 + 0.062(1100) =116.07

Original price = 116.07 thousand dollars

Asking price =

116.07 - 6 = 110.07

The buyer is asking for 110.07 thousand dollars.

$6000 is called the error term.

3 0
3 years ago
The sequence is -6,-2,2,6,10 find a20​
Keith_Richards [23]

Answer:

Hi ik I'm not answering but can you please mark me as brainliest? I need it to rank up.

Step-by-step explanation:

4 0
2 years ago
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20 I’m pretty sure ^^
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vlada-n [284]

Answer:

Zero

Step-by-step explanation:

3x - 7 = 3x - 9 + 2

3x - 7 = 3x - 7

Add 7 on both sides

3x = 3x

Subtract 3x you get 0.

Hope this helps.

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3 years ago
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