Question

find the distance between the two points. simplify your answer, and write the exact answer in simplest radical form for irrational answers. (x, y) = (7, 0) and (x, y) = (7, 9)

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 $x_1 = 7,y_1 = 0,x_2 = 7,y_2 = 9$.

Step2: Substitute values

Substitute the values into the formula: $d=\sqrt{(7 - 7)^2+(9 - 0)^2}=\sqrt{0^2+9^2}=\sqrt{81}$.

Step3: Simplify

$\sqrt{81}=9$.

Answer:

$9$