Answer:
63
Step-by-step explanation:
9 x 14 = 126/2 = 63
The product is: 25x^2-5xy-6y^2
Answer:
a) h = 123/x^2
b) S = x^2 +492/x
c) x ≈ 6.27
d) S'' = 6; area is a minimum (Y)
e) Amin ≈ 117.78 m²
Step-by-step explanation:
a) The volume is given by ...
V = Bh
where B is the area of the base, x^2, and h is the height. Filling in the given volume, and solving for the height, we get:
123 = x^2·h
h = 123/x^2
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b) The surface area is the sum of the area of the base (x^2) and the lateral area, which is the product of the height and the perimeter of the base.
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c) The derivative of the area with respect to x is ...
When this is zero, area is at an extreme.
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d) The second derivative is ...
This is positive, so the value of x found represents a minimum of the area function.
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e) The minimum area is ...
The minimum area of metal used is about 117.78 m².
125 dollars divided by ten = 12,5
He gets paid 12,5$ for one hour
Answer:
P(-2,8) Q(-8,8) R(-8,2) S(-2,2)
Step-by-step explanation: 180 degree rotation rule = (x,y) ---- (-x,-y)
ex : point B (-2, 7) will be B' (2, -7)