Question

find the distance between the points (6, 7) and (1, 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, $(x_1,y_1)=(6,7)$ and $(x_2,y_2)=(1,2)$.

Step2: Substitute values

$d=\sqrt{(1 - 6)^2+(2 - 7)^2}=\sqrt{(-5)^2+(-5)^2}=\sqrt{25 + 25}=\sqrt{50}$.

Step3: Calculate and round

$\sqrt{50}\approx7.1$ (rounded to the nearest tenth).

Answer:

$7.1$