1 Answer

Ojrac · Answer 1 · 2023-01-03T02:18:08+0000

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:

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

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).

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

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

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

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).

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

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

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

Therefore, the correct option is B.

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