Question

Suppose that P and Q are points on the number line. If PQ=6 and P lies at -14, where could Q be located? If there is more than one location, separate them with commas. Location(s) of Q.

Answer 1

The possible locations of Q on the number line, given that PQ = 6 and P is located at -14, are -8 and -20.

Step-by-step explanation:

The distance between points P and Q on the number line is given by the formula PQ = |Q - P|. In this case, PQ = 6, and P is located at -14. To find the possible locations of Q, we substitute the given values into the formula:

6 = |Q - (-14)|

6 = |Q + 14|

There are two possible cases:

1. Q + 14 = 6. Solving for Q, we have Q = -8.

2. -(Q + 14) = 6. Solving for Q, we have Q = -20.

Therefore, the possible locations of Q are -8 and -20.