Question

find the distance between x (-3,8) and z (-5,1). round to the nearest tenth, if necessary.

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, $x_1=-3,y_1 = 8,x_2=-5,y_2 = 1$.

Step2: Substitute values

$d=\sqrt{(-5-(-3))^2+(1 - 8)^2}=\sqrt{(-5 + 3)^2+(1 - 8)^2}=\sqrt{(-2)^2+(-7)^2}$.

Step3: Calculate squares

$d=\sqrt{4 + 49}=\sqrt{53}$.

Step4: Approximate value

$\sqrt{53}\approx7.3$.

Answer:

$7.3$