Question

find the distance between the points (2, -4) and (2, 4). round decimals to the nearest tenth.

Explanation:

Step1: Identify 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, $(x_1,y_1)=(2,-4)$ and $(x_2,y_2)=(2,4)$.

Step2: Substitute values

Since $x_1 = 2,x_2 = 2,y_1=-4,y_2 = 4$, we have $d=\sqrt{(2 - 2)^2+(4-(-4))^2}=\sqrt{0+(4 + 4)^2}=\sqrt{8^2}$.

Step3: Calculate distance

$\sqrt{8^2}=8$.

Answer:

8