Question

using the distance formula find the distance between the two points. round your result to two decimal places. 36. e(-7, 6), f(2, 0)

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, $x_1=-7,y_1 = 6,x_2=2,y_2 = 0$.

Step2: Substitute values

$d=\sqrt{(2-(-7))^2+(0 - 6)^2}=\sqrt{(2 + 7)^2+( - 6)^2}=\sqrt{9^2+(-6)^2}=\sqrt{81 + 36}=\sqrt{117}$.

Step3: Calculate and round

$\sqrt{117}\approx10.82$.

Answer:

$10.82$