Question

1. find the distance between the points (4, 3) and (2, -2). a 29 b 37 c √29 d √37

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' coordinates

Here $x_1 = 4,y_1 = 3,x_2 = 2,y_2=- 2$.

Step3: Substitute values into formula

$d=\sqrt{(2 - 4)^2+(-2 - 3)^2}=\sqrt{(-2)^2+(-5)^2}=\sqrt{4 + 25}=\sqrt{29}$.

Answer:

C. $\sqrt{29}$