Question

1/28/26, 11:31 am

1. find the distance between the two - points. write your answer as a decimal rounded to the hundredths place if needed.

(-4, 8) and (5, -5)

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: Assign values to variables

Let $(x_1,y_1)=(-4,8)$ and $(x_2,y_2)=(5,-5)$. Substitute into formula:
$d=\sqrt{(5-(-4))^2+(-5-8)^2}$

Step3: Simplify inside the square root

$d=\sqrt{(9)^2+(-13)^2}=\sqrt{81+169}$

Step4: Calculate sum and square root

$d=\sqrt{250}\approx15.81$

Answer:

15.81