Answer:
The distance between the endpoints (11,−4) and (−12,−4) are 23 units .
Step-by-step explanation:
Formula
[tex]Distance\ formula = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
As given
The endpoints of the line segments are (11,−4) and (−12,−4) .
[tex]Distance = \sqrt{(-12-11)^{2}+(-4-(-4))^{2}}[/tex]
[tex]Distance = \sqrt{(-23)^{2}+(-4+4)^{2}}[/tex]
[tex]Distance= \sqrt{529}[/tex]
As
√529 = 23
Distance = 23 unit
Therefore the distance between the endpoints (11,−4) and (−12,−4) are 23 units .
