Question

find the distance between the points (8, 3) and (0, 7).
write your answer as a whole number or a fully simplified radical expression. do not round.

blank 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

Let $(x_1,y_1)=(8,3)$ and $(x_2,y_2)=(0,7)$.

Step3: Substitute values

$d=\sqrt{(0 - 8)^2+(7 - 3)^2}=\sqrt{(-8)^2+4^2}$.

Step4: Calculate squares

$d=\sqrt{64 + 16}$.

Step5: Simplify

$d=\sqrt{80}=\sqrt{16\times5}=4\sqrt{5}$.

Answer:

$4\sqrt{5}$