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

D. 6

Explanation:

The formula of a distance between two points:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

We have the points

`\left(-(1)/(2),\ 8\right)` and
`\left(-(1)/(2),\ 2\right)`

Substitute:

`d=\sqrt{\left(-(1)/(2)-\left(-(1)/(2)\right)\right)^2+(2-8)^2}=\sqrt{\left(-(1)/(2)+(1)/(2)\right)^2+(-6)^2}\\\\=√(0^2+36)=√(36)=6`