Wilma is twice as old as Jamal, and Jamal is 3 years older than Tim. The sum of all their ages is 17.
1 answer:
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I used the completing the square method to get the (x+2)^2. The final line is in standard form.
Answer:
5, 6, 7, 8, 9, 10, 11, 12, and 13.
Step-by-step explanation:
We can use the triangle inequality. By the triangle inequality, the sum of any two sides of a triangle must be greater than the remaining side.
In other words, the sum of the two shorter sides must be greater than the longest side.
We know that PQ is 5 and PR is 9.
For the first case, let's say that neither PQ nor PR is the longest side. Instead, QR is the longest side. Then their sum must be greater than QR. Thus:
However, for the second case, let's say that QR is not the longest side. In this case, PR will be the longest side. Therefore, QR plus PQ must be greater than PR:
Thus, we have a compound inequality:
Therefore, the possible whole-number lengths of QR are:
5, 6, 7, 8, 9, 10, 11, 12, and 13.