Question

find the distance between the points (9, 2) and (-6, 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 $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here $x_1 = 9,y_1 = 2,x_2=-6,y_2 = 2$.

Step2: Substitute the values

Substitute the values into the formula: $d=\sqrt{(-6 - 9)^2+(2 - 2)^2}=\sqrt{(-15)^2+0^2}$.

Step3: Calculate the result

First, $(-15)^2=225$ and $0^2 = 0$, so $d=\sqrt{225+0}=\sqrt{225}=15$.

Answer:

15