Question

es (x1, y1) of point o: (-12, -8) of point r: (-4, 8) d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2} d = \sqrt{(-8)^2+(-16)^2} d = the length of segment or is feet

Explanation:

Step1: Identify coordinates

Let $(x_1,y_1)=(-12,-8)$ and $(x_2,y_2)=(-4,8)$.

Step2: Calculate $x_2 - x_1$ and $y_2 - y_1$

$x_2 - x_1=-4-(-12)=8$, $y_2 - y_1=8 - (-8)=16$.

Step3: Apply distance formula

$d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}=\sqrt{8^2 + 16^2}=\sqrt{64+256}=\sqrt{320}=8\sqrt{5}\approx 17.89$.

Answer:

$8\sqrt{5}\approx 17.89$