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xeze [42]
3 years ago
10

HELP I NEED HELP ASAP

Mathematics
1 answer:
Stella [2.4K]3 years ago
6 0

Given:

Grocery store located at point (5,-4).

Park is located at point (-5,4).

Paula's house is halfway between the Grocery store and park.

School is halfway between the Paula's house and park.

To find:

Ordered pair for the school.

Solution:

Formula used:

\text{Midpoint}=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

Paula's house is halfway between the Grocery store and park. It means the location of Paula's house is the midpoint of (5,-4) and (-5,4).

\text{Paula's house}=\left(\dfrac{5+(-5)}{2},\dfrac{(-4)+4}{2}\right)

\text{Paula's house}=\left(\dfrac{0}{2},\dfrac{0}{2}\right)

\text{Paula's house}=\left(0,0\right)

So, the Paula's house is located at (0,0).

School is halfway between the Paula's house and park. It means the location of the school is the midpoint of (0,0) and (-5,4).

\text{School}=\left(\dfrac{0+(-5)}{2},\dfrac{0+4}{2}\right)

\text{School}=\left(\dfrac{-5}{2},\dfrac{4}{2}\right)

\text{School}=\left(-2.5,2\right)

Therefore, the correct option is B.

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