Question

Find the distance -3,8 and -5,1​

Answer 1

The distance of the points given is/are:

`√(53)`

Step-by-step explanation:

1) First we have to find out what we are given:

(-3,8) and (-5,1)

The points shown would be:

`(-3,8) - > (x_(1),y_(1))\\ and\\(-5,1)->(x_(2),y_(2))`

To find the distance between these 2 points, we would have to use the formula:

Distance Formula.

`\sqrt{(x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2)`

2) Substitute in the numbers provided:

`\sqrt{((-5)-(-3))^(2)+((1)-(8))^(2)`

`\sqrt{(-5+3)^(2)+(1-8)^(2)`

3) PEMDAS (Order of Operations:

`\sqrt{(-2)^(2)+(-7)^(2)`

4) Then the exponents:

`\sqrt{4+49`

5) Add them together:

`√(53)`

This is your answer!