Question

A segment has endpoints at (3,−4) and (3,−17). How many units long is the segment?

Answer 1

`\text{The formula of a distance between two points:}\\\\d=√((x_2-x_1)^2+(y_2-y_1)^2)\\\\\text{We have the points}\ (3,\ -4)\ \text{and}\ (3,\ -17).\ \text{Substitute:}\\\\d=√((3-3)^2+(-17-(-4))^2)=√(0^2+(-13)^2)=√((-13)^2)=13\\\\Answer:\ \boxed{13\ units}`