Question

1. if you have points (3, 4) and (7, 8), what is the distance between them?

a. $sqrt{32}$
b. 10
c. $sqrt{2}$
d. 4

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 values of coordinates

Here $x_1 = 3,y_1 = 4,x_2=7,y_2 = 8$.

Step3: Substitute values into formula

$d=\sqrt{(7 - 3)^2+(8 - 4)^2}=\sqrt{4^2+4^2}=\sqrt{16 + 16}=\sqrt{32}$.

Answer:

A. $\sqrt{32}$