Question

find the distance between the points (10, 0) and (4, 1). write your answer as a whole number or a fully simplified radical expression. do not round.

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, $x_1 = 10,y_1 = 0,x_2=4,y_2 = 1$.

Step2: Substitute values

$d=\sqrt{(4 - 10)^2+(1 - 0)^2}=\sqrt{(-6)^2+1^2}$.

Step3: Calculate squares

$d=\sqrt{36 + 1}=\sqrt{37}$.

Answer:

$\sqrt{37}$