Question

find the distance between the points (1, 3) and (6, 8). round decimals to the nearest tenth. units

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, $x_1 = 1,y_1 = 3,x_2=6,y_2 = 8$.

Step2: Substitute values

$d=\sqrt{(6 - 1)^2+(8 - 3)^2}=\sqrt{5^2+5^2}=\sqrt{25 + 25}=\sqrt{50}$.

Step3: Calculate and round

$\sqrt{50}\approx7.1$

Answer:

$7.1$