Question

kelvin is at his house located at (3,4) on a coordinate plane and walks to the store located at (1,0). the store is located halfway between kelvins house and mitchs house. to the nearest tenth, what is the distance between kelvins house and mitchs house?
5.7
4.2
4.5
8.9

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, $(x_1,y_1)=(3,4)$ and $(x_2,y_2)=(1,0)$.

Step2: Substitute values

$d=\sqrt{(1 - 3)^2+(0 - 4)^2}=\sqrt{(- 2)^2+(-4)^2}=\sqrt{4 + 16}=\sqrt{20}$.

Step3: Simplify and round

$\sqrt{20}\approx4.5$ (rounded to the nearest tenth).

Answer:

4.5