Question

What is the distance between `(3,5)` and `(0,6)`?

Answer 1

distance = `sqrt(10)` or about `3.16227766017`

Explanation:

The distance between two points `(x_1, y_1)` and `(x_2, y_2)` is given by the distance formula :
`d = sqrt((x_2 - x_1)^2 +(y_2 - y_1)^2)`

In this case,
`(x_1, y_1) = (3,5)`
which means that `x_1 = 3` and `y_1 = 5`
and
`(x_2, y_2) = (0,6)`
which means that `x_2 = 0` and `y_2 = 6`

If we plug this into the equation, we would get:
`d = sqrt((0-3)^2 + (6-5)^2)`

we can simplify this into
`d= sqrt((-3)^2 + (1)^2)`
`d= sqrt(9 + 1)`
`d=sqrt(10)`

Therefore your distance (answer) would be `sqrt(10)` or about `3.16227766017`