Question

1. what is the distance between points a (1,3) and b (5,2). a. $sqrt{17}$ b. $sqrt{15}$ c. $sqrt{4}$ d. $sqrt{10}$

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 coordinates

Here, $x_1 = 1,y_1=3,x_2 = 5,y_2 = 2$.

Step3: Substitute values

$d=\sqrt{(5 - 1)^2+(2 - 3)^2}=\sqrt{4^2+( - 1)^2}=\sqrt{16 + 1}=\sqrt{17}$.

Answer:

a. $\sqrt{17}$