Answer:
C. 10 units
Step-by-step explanation:
Use the distance formula:
[tex](x_{1},y_{1})\\\\(x_{2},y_{2})\\\\d=\sqrt{(x_{2}-x_{2})^2+(y_{2}-y_{1})^2}[/tex]
Find the coordinate points of A and B:
[tex]A(-7,-6)\\\\\\B(1,0)[/tex]
Insert the values into the formula:
[tex]d=\sqrt{(1-(-7))^2+(0-(-6))^2}[/tex]
Two negatives make a positive. Simplify:
[tex]d=\sqrt{(1+7)^2+(0+6)^2}[/tex]
Simplify addition:
[tex]d=\sqrt{(8)^2+(6)^2}[/tex]
Simplify exponents (x²=x·x):
[tex]d=\sqrt{64+36}[/tex]
Simplify addition:
[tex]d=\sqrt{100}[/tex]
Find the square root (x·x=√y):
[tex]d=10[/tex]
The length of AB is 10 units.
:Done
