Question

find the distance between the points (-3, 5) and (7, 5).

Explanation:

Step1: Identify distance formula

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

Step2: Substitute the given points

Here, $x_1=-3,y_1 = 5,x_2 = 7,y_2=5$. So $d=\sqrt{(7-(-3))^2+(5 - 5)^2}$.

Step3: Simplify the expression

First, calculate inside the square - root: $7-(-3)=10$ and $5 - 5 = 0$. Then $d=\sqrt{10^2+0^2}=\sqrt{100}=10$.

Answer:

$10$