Question

find the distance between the points (3, 8) and (9, 1). round decimals to the nearest tenth. units

Explanation:

Step1: Identify the 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 the given points

Here, $x_1 = 3,y_1 = 8,x_2=9,y_2 = 1$. So $d=\sqrt{(9 - 3)^2+(1 - 8)^2}$.

Step3: Calculate the values inside the square - root

First, $(9 - 3)^2=6^2 = 36$ and $(1 - 8)^2=(-7)^2 = 49$. Then $d=\sqrt{36 + 49}=\sqrt{85}$.

Step4: Find the square - root and round

$\sqrt{85}\approx9.2$.

Answer:

$9.2$