Question

find the distance between the points (-9, 7) and (0, 0). write your answer as a whole number or a fully simplified radical expression. do not round.

Explanation:

Step1: Recall distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $(x_1,y_1)=(-9,7)$ and $(x_2,y_2)=(0,0)$.

Step2: Substitute values

$d=\sqrt{(0 - (-9))^2+(0 - 7)^2}=\sqrt{(9)^2+( - 7)^2}$.

Step3: Calculate squares

$\sqrt{81 + 49}=\sqrt{130}$.

Answer:

$\sqrt{130}$