Question

Find the distance between these points. R(-1, 0), S(8, 6) √(26) √(85) 3√(13)

Answer 1

`|RS|=3√(13)` units.

Explanation:

The distance between the two given points
`(x_1,y_1)` and
`(x_2,y_2)` is given by:

`d=√((x_2-x-1)^2+(y_2-y_1)^2)`

We want to find the distance between R(-1, 0) and S(8, 6).

We plug in these points into the distance formula to get:

`|RS|=√((8--1)^2+(6-0)^2)`

`|RS|=√((9)^2+(6)^2)`

`|RS|=√(81+36)`

`|RS|=√(117)`

`|RS|=3√(13)` units.