Question

1. what is the length of the points (2,5) and (7,8)?

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, $x_1 = 2,y_1 = 5,x_2=7,y_2 = 3$.

Step2: Substitute values

$d=\sqrt{(7 - 2)^2+(3 - 5)^2}=\sqrt{5^2+(- 2)^2}=\sqrt{25 + 4}$.

Step3: Calculate result

$d=\sqrt{29}$.

Answer:

$\sqrt{29}$