Question

The distance between point Q and point P is 6 1/2 units .Which number could represent point Q?please help me

Answer 1

`Q =2(1)/(2)` or
`Q =- 10(1)/(2)`

Explanation:

Given

`P = -4` --- missing from the question

`Distance = 6(1)/(2)`

Required

Determine the possible value of Q

The distance can be calculated using absolute function as:

`Distance = |Q - P|`

Substitute values for distance and P

`6(1)/(2) = |Q - (-4)|`

`6(1)/(2) = |Q +4|`

The absolute function can then be split as:

`6(1)/(2) = Q + 4` or
`-6(1)/(2) = Q + 4`

Make Q the subject in both cases:

`Q = 6(1)/(2) - 4` or
`Q = -4 - 6(1)/(2)`

`Q =2(1)/(2)` or
`Q =- 10(1)/(2)`