Question

Find the distance between the points (-1/2, 8) and (-1/2, 2) A.1/2 B.10 C.8 D.6

Answer 1

Answer:

D. 6

Step-by-step explanation:

The formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We have the points

$\left(-\dfrac{1}{2},\ 8\right)$ and $\left(-\dfrac{1}{2},\ 2\right)$

Substitute:

$d=\sqrt{\left(-\dfrac{1}{2}-\left(-\dfrac{1}{2}\right)\right)^2+(2-8)^2}=\sqrt{\left(-\dfrac{1}{2}+\dfrac{1}{2}\right)^2+(-6)^2}\\\\=\sqrt{0^2+36}=\sqrt{36}=6$