Question

what is the distance between (-5, 0) and (0, 3)? round your answer to 2 decimal places, if needed.

Explanation:

Step1: Recall distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $(x_1,y_1)=(-5,0)$ and $(x_2,y_2)=(0,3)$.

Step2: Substitute values

$d=\sqrt{(0 - (-5))^2+(3 - 0)^2}=\sqrt{(5)^2+(3)^2}=\sqrt{25 + 9}=\sqrt{34}$.

Step3: Calculate and round

$\sqrt{34}\approx5.83$.

Answer:

$5.83$