Question

A. Find the distance between the following pairs of points.

1. (0, 4 ), ( 0, 6 )

Answer 1

The formula you will need in order to solve this question is
`\sqrt(x_(2) -x_(1))^(2) +(y_(2)-y_(1))^(2)`

Please remember that you must substitute the order pairs into the question exactly as it is shown in the formula. By failing to do so, you may end up with the wrong answer.

(1) Consider the following:

`x_(1) = 0`
`y_(1) = 4`

`x_(2) = 0`
`y_(2) = 6`

(2) Substitute the ordered pairs into the formula accordingly

`\sqrt (0 -0)^(2) +(6-4)^(2)`

(3) Solve

`\sqrt (0 -0)^(2) +(6-4)^(2) = 2`

With that being said, the distance is 2.

Answer 2

The distance between the points (0, 4) and (0, 6) can be found using the distance formula: d = sqrt[(x2 - x1)^2 + (y2 - y1)^2] In this case, x1 = 0, y1 = 4, x2 = 0, and y2 = 6. Plugging in the values, we get: d = sqrt[(0 - 0)^2 + (6 - 4)^2] d = sqrt[0 + 4] d = sqrt(4) d = 2 Therefore, the distance between the points (0, 4) and (0, 6) is 2 units.