Question

find the distance between the two points rounding to the nearest tenth (if necessary). (-5, -8) and (0, 4)

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, $x_1=-5,y_1 = - 8,x_2=0,y_2 = 4$.

Step2: Substitute values

$d=\sqrt{(0-(-5))^2+(4 - (-8))^2}=\sqrt{(0 + 5)^2+(4 + 8)^2}=\sqrt{5^2+12^2}$.

Step3: Calculate squares

$\sqrt{25 + 144}=\sqrt{169}$.

Step4: Find square - root

$\sqrt{169}=13$.

Answer:

$13$