Answer:
About 6.7
Step-by-step explanation:
To find the distance between any two points, we can use the distance formula. The distance formula is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let's let (0,-8) be (x₁, y₁) and let's let (3,-2) be (x₂, y₂). Therefore:
[tex]d=\sqrt{(3-0)^2+(-2-(-8))^2[/tex]
Subtract:
[tex]d=\sqrt{(3)^2+(6)^2}[/tex]
Square:
[tex]d=\sqrt{9+36}[/tex]
Add:
[tex]d=\sqrt{45}[/tex]
Approximate. Use a calculator:
[tex]d\approx6.7082[/tex]
So, the distance between (0,-8) and (3,-2) is approximately 6.7 units.
And we're done!
