Question

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

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 the given points

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

Step3: Calculate the values inside the square - root

First, $(1 - 9)^2=(-8)^2 = 64$ and $(3 - 8)^2=(-5)^2 = 25$. So $d=\sqrt{64 + 25}=\sqrt{89}$.

Step4: Approximate the value

$\sqrt{89}\approx9.4$.

Answer:

$9.4$