Answer:
15
Step-by-step explanation:
Use the distance formula:
[tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]
Insert values:
[tex](-9,7)=(x_{1},y_{1})\\\\(0,-5)=(x_{2},y_{2})\\\\\sqrt{(0-(-9))^2+(-5-7)^2}[/tex]
Two negatives make a positive. Simplify:
[tex]\sqrt{(0+9)^2+(-5-7)^2}[/tex]
Simplify parentheses:
[tex]\sqrt{(9)^2+(-12)^2}[/tex]
Simplify exponents:
[tex]\sqrt{81+144}[/tex]
Simplify addition:
[tex]\sqrt{225}[/tex]
Find the square root:
[tex]\sqrt{225} =15[/tex]
The distance between the two points is 15.
:Done
