Question

Find the distance -3,8 and -5,1​

Answer 1

Answer:

The distance of the points given is/are:

$\sqrt{53}$

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:

$\sqrt{53}$

This is your answer!