Answer:
8 units
Step-by-step explanation:
We can use the distance formula. Recall the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let (-11,7) be [tex]x_1[/tex] and [tex]y_1[/tex], and (-5,1) be [tex]x_2[/tex] and [tex]y_2[/tex]
Plug in the numbers:
[tex]d=\sqrt{(-5-(-11))^2+(1-7)^2[/tex]
[tex]d=\sqrt{6^2+(-6)^2}[/tex]
[tex]d=\sqrt{36+36}=\sqrt{72}=6\sqrt2\approx8[/tex]
