Answer:
D. 6
Step-by-step explanation:
The formula of a distance between two points:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have the points
[tex]\left(-\dfrac{1}{2},\ 8\right)[/tex] and [tex]\left(-\dfrac{1}{2},\ 2\right)[/tex]
Substitute:
[tex]d=\sqrt{\left(-\dfrac{1}{2}-\left(-\dfrac{1}{2}\right)\right)^2+(2-8)^2}=\sqrt{\left(-\dfrac{1}{2}+\dfrac{1}{2}\right)^2+(-6)^2}\\\\=\sqrt{0^2+36}=\sqrt{36}=6[/tex]
