Question

find the distance between the points (1, 2) and (10, 8). 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 $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.

Step2: Substitute values

Here $x_1 = 1,y_1 = 2,x_2 = 10,y_2 = 8$. So $d=\sqrt{(10 - 1)^2+(8 - 2)^2}=\sqrt{9^2+6^2}$.

Step3: Calculate squares

$9^2=81$ and $6^2 = 36$, so $d=\sqrt{81 + 36}=\sqrt{117}$.

Step4: Find square - root and round

$\sqrt{117}\approx10.8$.

Answer:

$10.8$