a secant and tangent are drawn to a circle from a common exterior point. If the length is 14 inches and the length of the extern
al segment of the secant is 4 inches, then it which of the following is the length,in inches, of the internal segment of the secant?
1 answer:
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Non-negative integers are positive integers or zero.
1. When then there are such possible cases for
and
In total 11 solutions for
2. For there are such possible cases for
and
In total 10 solutions for
3. This process gives you
- for
- 9 solutions;
- for
- 8 solutions;
- for
- 7 solutions;
- for
- 6 solutions;
- for
- 5 solutions;
- for
- 4 solutions;
- for
- 3 solutions;
- for
- 2 solutions;
- for
- 1 solution.
4. Add all numbers of solutions:
Answer: there are 66 possible solutions (with non-negative integer variables)
Distribute to every term inside the parentheses.
Simplify with multiplication.
You can't simplify further by adding, so leave the answer as-is.