Question

question
find the distance between the two points rounding to the nearest tenth (if necessary).
(-8,8) and (0,3)

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, $x_1=-8,y_1 = 8,x_2=0,y_2 = 3$.

Step2: Substitute values

$d=\sqrt{(0-(-8))^2+(3 - 8)^2}=\sqrt{(8)^2+(-5)^2}=\sqrt{64 + 25}=\sqrt{89}$.

Step3: Calculate and round

$\sqrt{89}\approx9.4$.

Answer:

$9.4$