Find the distance between points P(8,2) and Q(3,8) to the nearest tenth

Distance formula:
[tex] \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Plug in the given coordinates:
[tex] \sqrt{(3-8)^2 + (8-2)^2}[/tex]

Simplify:
[tex] \sqrt{(-5)^2 + (6)^2}[/tex]
[tex] \sqrt{25 + 36}[/tex]
[tex] \sqrt{61}[/tex]

Since they are asking to round to the nearest tenth it is assumed that they would like a decimal answer.
Final answer: 7.8

Answer Link

aksnkj aksnkj · Answer 2 · 2022-02-14T08:23:40+01:00

The distance between points P(8,2) and Q(3,8) to the nearest tenth = 7.8.

To find the distance we will use the distance formula,

Given:

points - P(8,2) and Q(3,8)

What is the distance formula?

Distance formula:

[tex]=\rm \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We will now put the values of point in the formula we get,

[tex]=\rm \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\=\sqrt{(3-8)^2+(8-2)^2} \\\\=\sqrt{(-5)+6^2} \\\\=\sqrt{25+36} \\\\=\sqrt{61}[/tex]

Therefore, round of to the nearest tenth it will likely be a decimal 7.8.

Learn more about Distance of points here :

https://brainly.com/question/4092580