Question

1. find the distance between the points (-3, 2) and (2, -2). use the distance formula.

√41
3
5
√30

Explanation:

Step1: Identify the distance formula

The distance formula 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: Assign the values of the points

Let $(x_1,y_1)=(-3,2)$ and $(x_2,y_2)=(2,-2)$. Then $x_2 - x_1=2-(-3)=5$ and $y_2 - y_1=-2 - 2=-4$.

Step3: Substitute into the formula

$d=\sqrt{(5)^2+(-4)^2}=\sqrt{25 + 16}=\sqrt{41}$.

Answer:

$\sqrt{41}$