Answer:
See below.
Step-by-step explanation:
A. k = 50 * 3.6 = 180.
B. The equation is y = 180/x.
C. When x = 75, y = 180/75
= 2.4.
D. Checking C: 2.4 = 180/75 = 2.4. Correct
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Answer:
20%
Step-by-step explanation:
trust me
Answer:
Step-by-step explanation:
Let the other side of the rectangle be y. The perimeter of the rectangle is expressed as P = 2(x+y)
Given P = 30ft, on substituting P = 30 into the expression;
30 = 2(x+y)
x+y = 15
y = 15-x
Also since the area of the rectangle is xy;
A = xy
Substitute y = 15-x into the area;
A = x(15-x)
A = 15x-x²
The function that models its area A in terms of the length x of one of its sides is A = 15x-x²
The side of length x yields the greatest area when dA/dx = 0
dA/dx = 15-2x
15-2x = 0
-2x = -15
x = -15/-2
x = 7.5 ft
Hence the side length, x that yields the greatest area is 7.5ft.
Since y = 15-x
y = 15-7.5
y = 7.5
Area of the rectangle = 7.5*7.5
Area of the rectangle = 56.25ft²
Answer:
Step-by-step explanation:
x²+6x+9=(x+3)²
