Answer:
[tex]distance=\sqrt{2}[/tex]
Step-by-step explanation:
Use the distance formula:
[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]
For [tex](x_{1},y_{1});(x_{2},y_{2})[/tex]
Insert the appropriate values:
[tex]d=\sqrt{(-4-(-5))^2+(-4-(-5))^2}[/tex]
Two positives make a positive. Simplify:
[tex]d=\sqrt{(-4+5)^2(-4+5)^2}[/tex]
Simplify the parentheses:
[tex]d=\sqrt{(1)^2+(1)^2}[/tex]
Simplify exponents:
[tex]d=\sqrt{1+1}[/tex]
Simplify addition:
[tex]d=\sqrt{2}[/tex]
:Done
