Question

find the distance between the two points rounding to the nearest tenth (if necessary). (-8,0) and (-4,2)

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, $x_1=-8,y_1 = 0,x_2=-4,y_2 = 2$.

Step2: Substitute values

$d=\sqrt{(-4-(-8))^2+(2 - 0)^2}=\sqrt{(4)^2+(2)^2}=\sqrt{16 + 4}=\sqrt{20}$.

Step3: Simplify and round

$\sqrt{20}=2\sqrt{5}\approx 4.5$ (rounded to the nearest tenth).

Answer:

$4.5$