Answer: THIRD OPTION.
Step-by-step explanation:
For this exercise you need to use the formula for calculate the distance between two points. This is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Given the following points:
[tex](5, 1)[/tex] and [tex](-3,-5)[/tex]
You can identify that:
[tex]x_2=-3\\x_1=5\\\\y_2=-5\\y_1=1[/tex]
Knowing these values, the next step is to substitute them into the equation for calculate the distance between two points and then evaluate.
Therefore, the distance between [tex](5, 1)[/tex] and [tex](-3,-5)[/tex] is:
[tex]d=\sqrt{(-3-5)^2+(-5-1)^2}\\\\d=10[/tex]
