Question

what is the distance between the points (1,2) and (4,6)?
3
7
6
5

Explanation:

Step1: Identify 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: Substitute values

Here $x_1 = 1,y_1 = 2,x_2=4,y_2 = 6$. So $d=\sqrt{(4 - 1)^2+(6 - 2)^2}=\sqrt{3^2+4^2}$.

Step3: Calculate squares and sum

$\sqrt{3^2+4^2}=\sqrt{9 + 16}=\sqrt{25}$.

Step4: Find square - root

$\sqrt{25}=5$.

Answer:

D. 5