Answer:
C.8.12 units
Step-by-step explanation:
Given the coordinates of two points:
[tex]P1=(x_1,y_1)\\P2=(x_2,y_2)[/tex]
The distance between these points is determined by the following equation:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We can extract the exact coordinates from the graph provided by the problem:
[tex]P1=D=(x_1,y_1)=(-4,-1)\\P2=E=(x_2,y_2)=(4,-3)[/tex]
Therefore:
[tex]d=\sqrt{(4-(-4))^2+(-3-(-1))^2} =\sqrt{(8)^2+(-2)^2} =\sqrt{64+4} =\sqrt{68} \\\\d=8.246211251[/tex]
I don't see the correct answer from the choices given. So I would say the most aproximate is C.
