Question

1. point p is located at (7,4) on the coordinate grid. point p is translated 4 units to the left and 8 units down to create p. which measurement is the closest distance to point p and point p in units.

a 8.9
b 90
c 10.2
d 2.05
(the rest of the text on the left is incomplete and unreadable)

Explanation:

Step1: Find coordinates of P'

Translating left subtracts from x, down subtracts from y.
$P'(7-4, 4-8) = (3, -4)$

Step2: Apply distance formula

Use $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ for $P(7,4)$ and $P'(3,-4)$.
$d=\sqrt{(7-3)^2+(4-(-4))^2}=\sqrt{4^2+8^2}=\sqrt{16+64}=\sqrt{80}\approx8.9$

Answer:

A. 8.9