B. Center: ( 5, -3) radius: 9
You would use the Pythagorean Theorem a²+b²=c² and re-arrange to get a²=c²-b² then you would put the numbers in and get a²=130²-50² so a²=14400 and if you square root that you get 120. So the height of the mast is 120 feet.
By better I am assuming you meant faster so,
18 ÷ 2 = 9
22 ÷ 2.5 = 8.8
9 > 8.8
therefore Emily has the faster rate.
The maximum value of the function is 10
<h3>How to determine the maximum value?</h3>
The function is given as:
P = 2x - y
The feasible regions are given as:
(1,0), (5,5) and (5,0)
Substitute these values in P = 2x - y
P = 2(1) - 0 = 2
P = 2(5) - 5 = 5
P = 2(5) - 0 = 10
The maximum value in the above computation is 10
Hence, the maximum value of the function is 10
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I believe it would be (if x was the number):
x - 5 ≥ -28. Hope this helps!