Question

what is the distance between (4, 0) and (2, 3)? provide an answer accurate to the nearest tenth.

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, $(x_1,y_1)=(4,0)$ and $(x_2,y_2)=(2,3)$.

Step2: Substitute values

$d=\sqrt{(2 - 4)^2+(3 - 0)^2}=\sqrt{(-2)^2+3^2}=\sqrt{4 + 9}=\sqrt{13}$.

Step3: Calculate and round

$\sqrt{13}\approx3.6$.

Answer:

$3.6$