Question

find the distance between the points (3, 2) and (9, 2). round decimals to the nearest tenth.

Explanation:

Step1: Identify the distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.

Step2: Substitute the given points

Here, $x_1 = 3,y_1 = 2,x_2 = 9,y_2 = 2$. Substitute into the formula: $d=\sqrt{(9 - 3)^2+(2 - 2)^2}=\sqrt{6^2+0^2}$.

Step3: Simplify the expression

$\sqrt{6^2+0^2}=\sqrt{36+0}=\sqrt{36}=6$.

Answer:

6