Question

1. what is the distance between the points (0, 0) and (3, 4)?

a. 7
b. 4
c. 5
d. 6

Explanation:

Step1: Recall distance formula

The distance 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 given points

Let $(x_1,y_1)=(0,0)$ and $(x_2,y_2)=(3,4)$. Substitute into formula:
$d=\sqrt{(3-0)^2+(4-0)^2}$

Step3: Simplify the expression

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

Step4: Calculate final value

$d=5$

Answer:

c. 5