Answer:
The distance of the points given is/are:
[tex]\sqrt{53}[/tex]
Explanation:
1) First we have to find out what we are given:
(-3,8) and (-5,1)
The points shown would be:
[tex](-3,8) - > (x_{1},y_{1})\\ and\\(-5,1)->(x_{2},y_{2})[/tex]
To find the distance between these 2 points, we would have to use the formula:
Distance Formula.
[tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}[/tex]
2) Substitute in the numbers provided:
[tex]\sqrt{((-5)-(-3))^{2}+((1)-(8))^{2}[/tex]
[tex]\sqrt{(-5+3)^{2}+(1-8)^{2}[/tex]
3) PEMDAS (Order of Operations:
[tex]\sqrt{(-2)^{2}+(-7)^{2}[/tex]
4) Then the exponents:
[tex]\sqrt{4+49[/tex]
5) Add them together:
[tex]\sqrt{53}[/tex]
This is your answer!
