Answer:
Correct option: B -> 36
Step-by-step explanation:
The surface area of a circular cone is given by the formula:
Surface area = pi * radius * (radius + slant height)
If the inicial radius is 4 in and the slant height is 9 in, we have:
Surface area = pi * 4 * (4 + 9) = 52pi in2
The radius and the slant height are multiplied by 6, so we have:
radius = 6 * 4 = 24 in
slant height = 6 * 9 = 54 in
So the new surface area is:
New surface area = pi * 24 * (24 + 54) = 1872pi in2
The factor of the surface areas is:
New surface area / Surface area = 1872pi / 52pi = 36
Correct option: B
Answer:
a) x (x-9) (x+3)
b) x (x+4)(x-4)
c) (x)(x)(x + 16)
Step-by-step explanation:
We're going to equal the functions to zero and find their roots by factorizing:
a) f(x)=x³-6x²-27x
x³-6x²-27x = 0
x(x²-6x-27) = 0
⇒x (x-9) (x+3)
b) f(x)=x³-16x
x³-16x = 0
x (x²-16) =0
⇒x (x+4)(x-4)
c) f(x)=x³+16x²
x³ + 16x² = 0
x² ( x +16)
⇒(x)(x)(x + 16)
Answer: A
Step-by-step explanation:
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