Answer:
C option: 6 feet
Step-by-step explanation:
Since Yolanda wants to keep the pool in proportion to the model, the ratio of diameter to depth of model and the pool will be same.
Let the depth of pool is x feet.
Ratio of Diameter to Depth of Model = Ratio of Diameter to Depth of pool
This means the depth of pool should be 6 feet if Yolanda wants to keep the pool in proportion to the model.
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Completing the square is done as follows:
1. Write the equation in a way that the constants are in the right side while the terms with x are on the left.
<span>9x2 +54x = 7
</span>
2. Make sure that the coefficient of the x^2 term is 1.
<span>9(x2 + 6x) = 7
</span>
3. Adding a term to both sides that will complete the square in the left side. This is done by dividing the coefficient of the x term by 2 and squaring it. Note: The same amount should be added to the right side to balance the equation.
<span>9(x2 + 6x + 9) = 7 + 81
9(x+3)^2 = 88
</span>
=(140+4) / 8
=(144/8) + (4/8)
=18 + 2
=<span>20</span>
