Question

Find the distance between (9, 0) and (6, -8)

Answer 1

`√(73)` units (or about 8.5 units, rounding to the nearest tenth)

Explanation:

To find the distance between a pair of points, use the distance formula,
`d = √((x_2-x_1)^2+(y_2-y_1)^2)`. Substitute the x and y values of (9,0) and (6,-8) into the formula and simplify:

`d= √((9-6)^2+(0+8)^2) \\d = √((3)^2+(8)^2)\\d = √(9+64) \\d = √(73)`

So, as an exact answer, the distance is
`√(73)` units.

To find the decimal approximation of that, put that value into a calculator. So, rounding to the nearest tenth,
`√(73)` is about 8.5 units.