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Akimi4 [234]
3 years ago
12

Find the inverse of the function y = x2 - 12.

Mathematics
1 answer:
Semmy [17]3 years ago
7 0

Good evening ,

Answer:

The inverse of the function y = x² - 12 is

x = √(y + 12)

Step-by-step explanation:

for y ≥ -12 :

x² - 12 = y ⇔ x² = y + 12 ⇔ x = √(y + 12).

:)

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A cone has a volume of 108 pi and a base diameter of 12. What is the height of the cone?
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Answer:

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Step-by-step explanation:

Volume of a circular right cone is:

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Where h is the height of the cone, then

V(c)  =  (1/3) * π * r² * h

And  we have that  V(c) = 108*π

Then:

108 * π  =  (1/3) * π * r² * h                  (1)

We know diameter of the circular base is 12 units, according to that

r =  d/2     ⇒  r = 12/2     r = 6 units

Then:

108 * π  [ cubic units ]  =  (1/3) * π * (6)² * h  [square units] [ units of length]

When simplifying we have to take into account that in order to keep last equation h needs to have units of length  

Therefore:

108  =  (1/3) * 36 * h

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3 years ago
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