What is the distance between the points (0,0) and (6,8)?

You can use The Distance Formula. The Distance Formula is: [tex]D\sqrt{(x^2 - x^1)^2 + (y^2 - y^1)^2}[/tex] . Fill in for the x and y and you should get: [tex]D\sqrt{(6-0)^2 + (8-0)^2}[/tex] . Then do the math, and you should get: [tex]D\sqrt{(6)^2 + (8)^2}[/tex] .

Then after doing the squared, you should get: [tex]D\sqrt{36 + 64 }[/tex] . Then after added them, ( [tex]D\sqrt{100}[/tex] ) You find the square root of the answer ( 100). So that would be: 10.

So from (0,0) to (6,8), the distance from these two points is 10.

psm22415 psm22415 · Answer 2 · 2022-02-04T04:17:56+01:00

The distance between the points (0,0) and (6,8) is 10.

Given

The distance between the points (0,0) and (6,8)

What is the formula to determine the distance between two points?

The distance between two points is determined by the following formula;

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

Here, [tex]\rm x_1 = 0 , \ y_1 =0, \ x_2 = 6, \ y_2 =8[/tex]

Substitute all the values in the formula

[tex]\rm Distance = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\\\\\rm Distance = \sqrt{(6-0)^2 + (8-0)^2}\\\\\rm Distance = \sqrt{36+64}\\\\\rm Distance = \sqrt{100}\\\\\rm Distance = 10[/tex]

Hence, the distance between the points (0,0) and (6,8) is 10.

To know more about the Distance formula click the link given below.

https://brainly.com/question/12864470