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

Answer:

$Q =2\frac{1}{2}$ or $Q =- 10\frac{1}{2}$

Step-by-step explanation:

Given

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

$Distance = 6\frac{1}{2}$

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

$6\frac{1}{2} = |Q - (-4)|$

$6\frac{1}{2} = |Q +4|$

The absolute function can then be split as:

$6\frac{1}{2} = Q + 4$ or $-6\frac{1}{2} = Q + 4$

Make Q the subject in both cases:

$Q = 6\frac{1}{2} - 4$ or $Q = -4 - 6\frac{1}{2}$

$Q =2\frac{1}{2}$ or $Q =- 10\frac{1}{2}$