Question

use the distance formula to find the distance between the points g(2, 7) and h(-3, 7). (check out example 2 from the pythagorean theorem and distance formula lesson.) ***just type the number and nothing else. gh =

Explanation:

Step1: Recall 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, for points $G(2,7)$ and $H(-3,7)$, $x_1 = 2$, $y_1=7$, $x_2=-3$, $y_2 = 7$.

Step2: Substitute values

Substitute the values into the formula: $d=\sqrt{(-3 - 2)^2+(7 - 7)^2}=\sqrt{(-5)^2+0^2}$.

Step3: Simplify

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

Answer:

5