Answer:
The answer to your question is:
(x - 5)² + (y + 4)² = 10² or (x - 5)² + (y + 4)² = 100
Step-by-step explanation:
Data
Center (5, - 4)
Point ( -3 , 2)
Formula
d = √ ((x2- x1)² + (y2 - y1)²)
(x - h)² + (y - k)² = r²
Process
Radius
d = √ ((-3 - 5)² + (2 + 4)²)
d = √ ((-8)² + (6)²)
d = √ 64 + 36
d = √100
d = 10 units
Circle
(x - 5)² + (y + 4)² = 10²
(x - 5)² + (y + 4)² = 100
To find the diagonal of the pool, you need to use The Pythagorean Theorem which is a^2 + b^2 = c^2. We need to find c, so we substitute in the sides, and it doesn't matter how we substitute because we are adding positive numbers so the answer will always be the same. So, 31.22^2 + 25^2 = c^2. After we calculate this out we get c^2. To find the diagonal or c, we square root c^2 to get a final answer of 39.9961 or 40 feet
Note that what we want is to compress any point (a, b) in the parent function, to (a, b/4).
(a, b) is a point of the graph of the function

, thus we can rewrite the point as:

.
This point is compressed to

.
This means that the function we are looking for is

.
Answer: <span>t(x)=1/4x^7
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