Question

What is the distance between (-5,8) and (4,6)

Answer 1

Hey there! :)

Find the distance between (-5, 8) (4, 6)

The formula to find the distance is : d =
`\sqrt{(x2-x1)^2+(y2-y1)^2`

Where : -5 = x1 , 4 = x2 , 8 = y1 , 6 = y2

Now, simply plug everything into our equation.

`d = √((4 + 5)^2 + (6 - 8)^2)`

Let's simplify this now.

`d = √(9^2 - 2^2)`

Simplify again.

`d = √(81 + 4) = √(85)`

Therefore, our distance is
`√(85)` OR 9.22

Hope this helped! :)

Answer 2

`√(85)` (about 9.2195) units

Explanation:

The formula for the distance between two points is:
`√((x_1 - x_2)^2 + (y_1 - y_2)^2)`

Substitute the values.
`√((-5 - 4)^2 + (8 - 6)^2)`

Subtract.
`√((-9)^2 + 2^2)`

Solve the exponents.
`√(81 + 4)`

Add.
`√(85)`

This is as simple as the solution can get without estimating, but we can use a calculator to estimate that the distance is about 9.2195 units.