Kyla makes a triangular school pennant. The area of the triangle is 180 square inches. The base of the pennant is z inches long.
The height is 6 inches longer than twice the base length. What is the height of the pennant? Recall the formula A = bh. 12 inches 15 inches 30 inches 36 inches
2 answers:
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For this case we have:
By trigonometric property we have:
Where:
Substituting:
Clearing x we have:
Thus, the equation is:
Answer:
<u>ANSWER</u>
<u>EXPLANATION</u>
The given function is
We make the coefficient of unity by factoring
out of the last two terms to obtain;
We now add and subtract half the coefficient of multiplied by a factor of 6 to obtain;
We now factor 6 out of the last two terms to get;
The quadratic trinomial in the parenthesis is now a perfect square.
Hence the vertex form of the polynomial is