Question

find the distance between the points (2, 3) and (6, 0).
a 5
b 25
c $2\sqrt{2}$
d $2\sqrt{3}$

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 $x_1 = 2,y_1=3,x_2 = 6,y_2 = 0$.

Step2: Substitute values

$d=\sqrt{(6 - 2)^2+(0 - 3)^2}=\sqrt{4^2+( - 3)^2}=\sqrt{16 + 9}$.

Step3: Calculate result

$\sqrt{16 + 9}=\sqrt{25}=5$.

Answer:

A. 5