Question

find the distance between the points (10, 7) and (4, 2). round decimals to the nearest tenth. units

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, $(x_1,y_1)=(10,7)$ and $(x_2,y_2)=(4,2)$.

Step2: Substitute values

$d=\sqrt{(4 - 10)^2+(2 - 7)^2}=\sqrt{(-6)^2+(-5)^2}=\sqrt{36 + 25}=\sqrt{61}$.

Step3: Calculate and round

$\sqrt{61}\approx 7.8$ (rounded to the nearest tenth).

Answer:

$7.8$