Question

find the distance between the points (10, -2) and (5, -2). 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 $x_1 = 5,y_1=-2,x_2 = 10,y_2=-2$.

Step2: Substitute values

Substitute the values into the formula: $d=\sqrt{(10 - 5)^2+(-2-(-2))^2}=\sqrt{(10 - 5)^2+( - 2 + 2)^2}=\sqrt{5^2+0^2}$.

Step3: Calculate result

$\sqrt{5^2+0^2}=\sqrt{25+0}=\sqrt{25}=5$.

Answer:

5