Question

find the distance between the points (10, 10) and (2, 4). write your answer as a whole number or a fully simplified radical expression. do not round. units

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, $(x_1,y_1)=(10,10)$ and $(x_2,y_2)=(2,4)$.

Step2: Substitute values

$d=\sqrt{(2 - 10)^2+(4 - 10)^2}=\sqrt{(-8)^2+(-6)^2}$.

Step3: Calculate squares

$d=\sqrt{64 + 36}$.

Step4: Add values inside square - root

$d=\sqrt{100}$.

Step5: Simplify square - root

$d = 10$.

Answer:

10