Question

what is the distance between points f(2, 9) and g(-2, 6)? round to the nearest whole number. distance =

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, $x_1 = 2,y_1 = 9,x_2=-2,y_2 = 6$.

Step2: Substitute values

$d=\sqrt{(-2 - 2)^2+(6 - 9)^2}=\sqrt{(-4)^2+(-3)^2}=\sqrt{16 + 9}$.

Step3: Calculate value inside square - root

$\sqrt{16 + 9}=\sqrt{25}$.

Step4: Find square - root

$\sqrt{25}=5$.

Answer:

5