Area of the base = pi*(4x+2)^2 = pi*(16x^2 +16x +4)
volume of cylinder = pi*r^2 *h
V = pi *(16x^2 +16x +4)(5x+4) = pi*(80x^3 +80x^2 +20x +64x^2 +64x +16) =
= pi*(80x^3 +144x^2 +84x +16)
than we consider it without pi so result choice A. is right sure
hope helped
Hey there!
2x + 2 = -4(x - 5)
2x + 2 = -4(x) - 4(-5)
2x + 2 = -4x + 20
ADD 4x to BOTH SIDES
2x + 2 + 4x = -4x + 20 + 4x
SIMPLIFY IT!
6x + 2 = 20
SUBTRACT 18 to BOTH SIDES
6x + 2 - 2 = 20 - 2
CANCEL out: 2 - 2 because it give you 0
KEEP: 20 - 2 because it help solve for the x-value
NEW EQUATION: 6x = 20 - 2
SIMPLIFY IT!
6x = 18
DIVIDE 6 to BOTH SIDES
6x/6 = 18/6
CANCEL out: 6/6 because it give you 1
KEE: 18/6 because it help solve for the x-value
NEW EQUATION: x = 18/6
SIMPLIFY IT!
x = 3
Therefore, your answer is: x = 3
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Answer: OPTION A.
Step-by-step explanation:
You can observe that in the figure CDEF the vertices are:
![C(-2,-1),\ D(-2,0),\ E(2,2)\ and\ F(2,1)](https://tex.z-dn.net/?f=C%28-2%2C-1%29%2C%5C%20D%28-2%2C0%29%2C%5C%20E%282%2C2%29%5C%20and%5C%20F%282%2C1%29)
And in the figure C'D'E'F' the vertices are:
![C'(-8,-4),\ D'(-8,0),\ E'(8,8)\ and\ F'(8,4)](https://tex.z-dn.net/?f=C%27%28-8%2C-4%29%2C%5C%20D%27%28-8%2C0%29%2C%5C%20E%27%288%2C8%29%5C%20and%5C%20F%27%288%2C4%29)
For this case, you can divide any coordinate of any vertex of the figure C'D'E'F' by any coordinate of any vertex of the figure CDEF:
For C'(-8,-4) and C(-2,-1):
![\frac{-8}{-2}=4\\\\\frac{-4}{-1}=4](https://tex.z-dn.net/?f=%5Cfrac%7B-8%7D%7B-2%7D%3D4%5C%5C%5C%5C%5Cfrac%7B-4%7D%7B-1%7D%3D4)
Let's choose another vertex. For E'(8,8) and E(2,2):
![\frac{8}{2}=4\\\\\frac{8}{2}=4](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B2%7D%3D4%5C%5C%5C%5C%5Cfrac%7B8%7D%7B2%7D%3D4)
You can observe that the coordinates of C' are obtained by multiplying each coordinate of C by 4 and the the coordinates of E' are also obtained by multiplying each coordinate of E by 4.
Therefore, the rule that yields the dilation of the figure CDEF centered at the origin is:
→![(4x, 4y)](https://tex.z-dn.net/?f=%284x%2C%204y%29)
Answer:
D
Step-by-step explanation:
I can’t give a step-by-step explanation but it’s D