Question

Find the distance between C (-1,7) and D (-8,-3). Please provide a thorough explanation, thank you!

Answer 1

`d=√(149)\approx12.21`

Explanation:

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

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

We have the two points (-1, 7) and (-8, -3).

Let (-1, 7) be (x₁, y₁) and let (-8, -3) be (x₂, y₂). Substitute:

`d=√((-8-(-1))^2+(-3-7)^2)`

Evaluate:

`d=√((-8+1)^2+(-10)^2)`

Evaluate:

`d=√((-7)^2+(-10)^2)`

Square:

`d=√(49+100)`

Add:

`d=√(149)\approx12.21`

This cannot be simplified. Hence, the distance between (-1, 7) and (-8, -3) is √(149) or approximately 12.21 units.