Answer:
its a geometric sequence where each term is 3 times the previous term.
Step-by-step explanation:
{2,6,18,54,162,486,1458...}
To be a quadratic equation, the first number has to be rasied by the power of 2.
The answer would be c(x) = -8x^2 + 3x-5
A cube has all equal sides, so is a square on all faces, however, crossing it diagonally, the left and right sides will be longer, check the picture below.
Answer:
(x1,y1)=(-/2-3,2)
(x2.y2)=/2-3,2)
Step-by-step explanation:
The volume of a sphere -
![\frac{4}{3} \pi r^3](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E3)
The volume of a cone -
![\frac{1}{3} \pi r^2 h](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20r%5E2%20h)
r - radius, h - height
The sphere and the cone have the same volume and the radius is 3 inches.
![\frac{4}{3} \pi \times 3^3=\frac{1}{3} \pi \times 3^2 \times h \ \ \ |\div \pi \\ \frac{4}{3} \times 27=\frac{1}{3} \times 9 \times h \\ 36=3h \ \ \ |\div 3 \\ h=12](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20%5Ctimes%203%5E3%3D%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20%5Ctimes%203%5E2%20%5Ctimes%20h%20%5C%20%5C%20%5C%20%7C%5Cdiv%20%5Cpi%20%5C%5C%0A%5Cfrac%7B4%7D%7B3%7D%20%5Ctimes%2027%3D%5Cfrac%7B1%7D%7B3%7D%20%5Ctimes%209%20%5Ctimes%20h%20%5C%5C%0A36%3D3h%20%5C%20%5C%20%5C%20%7C%5Cdiv%203%20%5C%5C%0Ah%3D12)
The height of the cone is
12 inches.