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 between kelvins house and mitchs house. to the nearest tenth, what is the distance between kelvins house and mitchs house?
○ 5.7
○ 4.2
○ 8.9
○ 4.5

Explanation:

Step1: Identify 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: Calculate and round

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

Answer:

4.5