Question

what is the distance between (0, 0) and (3, 4)?
a. 4
b. 5
c. 3
d. 7

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 the points

Substitute $(0,0)$ and $(3,4)$: $d=\sqrt{(3-0)^2+(4-0)^2}$.

Step3: Calculate the expression

$d=\sqrt{3^2+4^2}=\sqrt{9+16}=\sqrt{25}=5$.

Answer:

b. 5