Question

Find the distance between each pair of points (0,-8) and (3,-2)

Answer 1

About 6.7

Explanation:

To find the distance between any two points, we can use the distance formula. The distance formula is:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

Let's let (0,-8) be (x₁, y₁) and let's let (3,-2) be (x₂, y₂). Therefore:

`d=\sqrt{(3-0)^2+(-2-(-8))^2`

Subtract:

`d=√((3)^2+(6)^2)`

Square:

`d=√(9+36)`

Add:

`d=√(45)`

Approximate. Use a calculator:

`d\approx6.7082`

So, the distance between (0,-8) and (3,-2) is approximately 6.7 units.

And we're done!