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Ipatiy [6.2K]
3 years ago
13

Slope is 1/2 and a point is (4, -5) solve for b Y=mx+b

Mathematics
2 answers:
Karo-lina-s [1.5K]3 years ago
4 0

Answer:

y=1/2x-7

Step-by-step explanation:

RSB [31]3 years ago
3 0

Answer:

-5=1/2(4)+b

-5=2+b

-7=b

Hope this helped!

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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?
serious [3.7K]

Answer:

h  = 9 units of length

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

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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

h = ( 108* 3 )/ 36

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