Question

#19
The distance between the points (4, 1) and (9, 1) is

Answer 1

Hello!

Given the two points,
`(x_(1), y_(1))` and
`(x_(2), y_(2))`, and to find the distance between these two points is found by using the formula:

`d = \sqrt{(x_(2)-x_(1))^(2) + (y_(2)-y_(1))^(2)}`

`(x_(1), y_(1))` is assigned to one the points, in this case, is (4, 1).

`(x_(2), y_(2))` is assigned to other point, which is (9, 1).

Then, plug in these values into the formula and solve.

`d = \sqrt{(9-4)^(2)-(1-1)^(2)}`

`d = \sqrt{5^(2)-0^(2)}`

`d = √(25)`

`d = 5`

Therefore, the distance between the two points is 5.