Question

find the distance between the two points rounding to the nearest tenth (if necessary). (2, 8) and (-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, $x_1 = 2,y_1 = 8,x_2=-2,y_2 = 0$.

Step2: Substitute values

$d=\sqrt{(-2 - 2)^2+(0 - 8)^2}=\sqrt{(-4)^2+(-8)^2}=\sqrt{16 + 64}=\sqrt{80}$.

Step3: Simplify and round

$\sqrt{80}\approx8.944$. Rounding to the nearest tenth, we get $d\approx8.9$.

Answer:

$8.9$