Question

find the distance between the points (0, 1) and (3, 0). 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 $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.

Step2: Identify the points

Here $x_1 = 0,y_1 = 1,x_2 = 3,y_2 = 0$.

Step3: Substitute values

$d=\sqrt{(3 - 0)^2+(0 - 1)^2}=\sqrt{3^2+( - 1)^2}=\sqrt{9 + 1}$.

Step4: Simplify

$d=\sqrt{10}$.

Answer:

$\sqrt{10}$