Question

Help pls

Answer 1

Answer:

Distance between the school and the theater = $2\sqrt{13}$ units

Step-by-step explanation:

Use distance formula to calculate the distance from the school (8, 7) and the theater (2, 3):

$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$school (8, 7) = (x_1, y_1)$

$theater (2, 3) = (x_2, y_2)$

Plug in the values into the distance formula

$d = \sqrt{(2 - 8)^2 + (3 - 7)^2}$

$d = \sqrt{(-6)^2 + (-4)^2}$

$d = \sqrt{36 + 16} = \sqrt{52}$

Simplify

$d = \sqrt{4 \times 13}$

$d = 2\sqrt{13}$