Question

which equation can be used to find the distance between x (-9, 2) and y (5, -3)? select all that apply. a) $xy=sqrt{(-9 - 5)^2-(2-(-3))^2}$ b) $xy=sqrt{(-9 - 5)^2+(2-(-3))^2}$ c) $xy=sqrt{(5-(-9))^2+((-3)-2)^2}$ d) $xy=sqrt{(5+(-9))^2-((-3)+2)^2}$ e) $xy=sqrt{(-9 - 5)^2+(2 - 3))^2}$

Explanation:

Step1: Recall distance formula

The distance $d$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.

Step2: Identify points

Here $x_1=-9,y_1 = 2,x_2 = 5,y_2=-3$.

Step3: Substitute values

Substituting into the formula, we get $XY=\sqrt{(5-(-9))^2+((-3)-2)^2}$ or $XY=\sqrt{(-9 - 5)^2+(2-(-3))^2}$.

Answer:

B. $XY=\sqrt{(-9 - 5)^2+(2-(-3))^2}$
C. $XY=\sqrt{(5-(-9))^2+((-3)-2)^2}$