Answer:
B
Step-by-step explanation:
the answer is B because, our range starts at 2 but does not include 2 and continues to infinity (x>8) does not have a boundary.
Answer:
![-k(k+1)(k+2)](https://tex.z-dn.net/?f=-k%28k%2B1%29%28k%2B2%29)
Step-by-step explanation:
Begin to factor by using GCF by finding the greatest common factor. Here it is k.
![-2k-k^3-3k^2 = -k(2+k^2+3k)](https://tex.z-dn.net/?f=-2k-k%5E3-3k%5E2%20%3D%20-k%282%2Bk%5E2%2B3k%29)
We will rearrange and factor the trinomial.
![-k(2+k^2+3k)\\-k(k^2+3k+2)\\-k(k+1)(k+2)](https://tex.z-dn.net/?f=-k%282%2Bk%5E2%2B3k%29%5C%5C-k%28k%5E2%2B3k%2B2%29%5C%5C-k%28k%2B1%29%28k%2B2%29)
![\bf \textit{volume of a pyramid}\\\\ V=\cfrac{1}{3}Bh\qquad \begin{cases} B=\textit{area of the base}\\ h=height \end{cases}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bvolume%20of%20a%20pyramid%7D%5C%5C%5C%5C%0AV%3D%5Ccfrac%7B1%7D%7B3%7DBh%5Cqquad%20%0A%5Cbegin%7Bcases%7D%0AB%3D%5Ctextit%7Barea%20of%20the%20base%7D%5C%5C%0Ah%3Dheight%0A%5Cend%7Bcases%7D)
now, the first one, on the far-left.... can't see the height.. but I gather you do, now as far as its Base area, well, the bottom is just a 12x12 square, so the area of its base is just 12*12
now, the middle pyramid, has a height of 6, the base is also a square, 8x8, so the Base area is just 8*8
now the last one on the far-right
has a height of 8, the Base is a Hexagon, with sides of 6
The two sides and included angles are equal to the corresponding sides
Answer: 54 feet.
Step-by-step explanation:
Ratio between a tree's height and its shadow's length = x : 72ft
Ratio between man's height and his shadow's length = 6ft : 8ft = 3 : 4
In order to solve this problem, we have to cross multiply the two ratios (image)
So, 4x = 216.
By solving this equation we learn that x = 54ft
So, the tree is 54 feet tall.
I am not a professional, simply using prior knowledge.
Note- It would mean the world to me if you could mark me brainliest!