Answer:
linear
non-linear
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
every repeating decimal will be a rational number
Answer:
![30cm^3](https://tex.z-dn.net/?f=30cm%5E3)
Step-by-step explanation:
the volume of a cylinder is given by:
![v_{cylinder}=\pi r^2 h](https://tex.z-dn.net/?f=v_%7Bcylinder%7D%3D%5Cpi%20r%5E2%20h)
and the volume of a cone is given by:
![v_{cone}=\frac{\pi r^2 h}{3}](https://tex.z-dn.net/?f=v_%7Bcone%7D%3D%5Cfrac%7B%5Cpi%20r%5E2%20h%7D%7B3%7D)
since both have the same height and radius, we can solve each equation for
(because this quantity is the same in both figures) and then match the expressions we find:
from the cylinder's volume formula:
![r^2h=\frac{v_{cylinder}}{\pi}](https://tex.z-dn.net/?f=r%5E2h%3D%5Cfrac%7Bv_%7Bcylinder%7D%7D%7B%5Cpi%7D)
and from the cone's volume formula:
![r^2h=\frac{3 v_{cone}}{\pi}](https://tex.z-dn.net/?f=r%5E2h%3D%5Cfrac%7B3%20v_%7Bcone%7D%7D%7B%5Cpi%7D)
matching the two previous expressions:
![\frac{v_{cylinder}}{\pi} =\frac{3v_{cone}}{\pi}](https://tex.z-dn.net/?f=%5Cfrac%7Bv_%7Bcylinder%7D%7D%7B%5Cpi%7D%20%3D%5Cfrac%7B3v_%7Bcone%7D%7D%7B%5Cpi%7D)
we solve for the volume of a cone
:
![v_{cone}=\frac{\pi v_{cylinder}}{3\pi} \\\\v_{cone}=\frac{v_{cylinder}}{3}](https://tex.z-dn.net/?f=v_%7Bcone%7D%3D%5Cfrac%7B%5Cpi%20v_%7Bcylinder%7D%7D%7B3%5Cpi%7D%20%5C%5C%5C%5Cv_%7Bcone%7D%3D%5Cfrac%7Bv_%7Bcylinder%7D%7D%7B3%7D)
substituting the value of the cylinder's volume ![v_{cylinder}=90cm^3](https://tex.z-dn.net/?f=v_%7Bcylinder%7D%3D90cm%5E3)
![v_{cone}=\frac{90cm^3}{3} \\\\v_{cone}=30cm^3](https://tex.z-dn.net/?f=v_%7Bcone%7D%3D%5Cfrac%7B90cm%5E3%7D%7B3%7D%20%5C%5C%5C%5Cv_%7Bcone%7D%3D30cm%5E3)
Move to right c units means minus c from every x
wider means horizontal strech, means multiply every x by r where |r|>1
so
the new function would be
f(x)=r|x-2| where |r|>1