Factor 6x^5−18x^3+54x^2
6x^5−18x^3+54x^2
=6x^2(x^3−3x+9)
Answer:
6x^2(x^3−3x+9)
Answer:
It would be a obtuse triangle instead
Step-by-step explanation:
By using pythagorean and theorem (a^2 + b^2 = c^2)
So it would be 13^2___2^2 + 12^2
When you square them, you get 169___4 + 144
144 + 4 = 148, which is less than 169
SO it would be 169>148
So no, not a right triangle
Answer:
(a)![n^{th} = n](https://tex.z-dn.net/?f=n%5E%7Bth%7D%20%3D%20n)
![f(1) = 1](https://tex.z-dn.net/?f=f%281%29%20%3D%201)
![f(n) = f(n-1) + 1](https://tex.z-dn.net/?f=f%28n%29%20%3D%20f%28n-1%29%20%2B%201)
(b)![n^{th} = 2^{n-1}](https://tex.z-dn.net/?f=n%5E%7Bth%7D%20%3D%202%5E%7Bn-1%7D)
![f(1) = 1](https://tex.z-dn.net/?f=f%281%29%20%3D%201)
![f(n) = f(n-1) * 2](https://tex.z-dn.net/?f=f%28n%29%20%3D%20f%28n-1%29%20%2A%202)
(c)![n^{th} = n!](https://tex.z-dn.net/?f=n%5E%7Bth%7D%20%3D%20n%21)
![f(1) = 1](https://tex.z-dn.net/?f=f%281%29%20%3D%201)
![f(n) = f(n-1) * n](https://tex.z-dn.net/?f=f%28n%29%20%3D%20f%28n-1%29%20%2A%20n)
Step-by-step explanation:
(a) This is a sequence of consecutive number
![n^{th} = n](https://tex.z-dn.net/?f=n%5E%7Bth%7D%20%3D%20n)
![f(1) = 1](https://tex.z-dn.net/?f=f%281%29%20%3D%201)
![f(n) = f(n-1) + 1](https://tex.z-dn.net/?f=f%28n%29%20%3D%20f%28n-1%29%20%2B%201)
(b) This is a sequence of 2 to the power of n - 1. The next number is twice time of this number
![n^{th} = 2^{n-1}](https://tex.z-dn.net/?f=n%5E%7Bth%7D%20%3D%202%5E%7Bn-1%7D)
![f(1) = 1](https://tex.z-dn.net/?f=f%281%29%20%3D%201)
![f(n) = f(n-1) * 2](https://tex.z-dn.net/?f=f%28n%29%20%3D%20f%28n-1%29%20%2A%202)
(c) This is factorial sequence. Where the next number is this number multiplied by ![n^{th}](https://tex.z-dn.net/?f=n%5E%7Bth%7D)
![n^{th} = n!](https://tex.z-dn.net/?f=n%5E%7Bth%7D%20%3D%20n%21)
![f(1) = 1](https://tex.z-dn.net/?f=f%281%29%20%3D%201)
![f(n) = f(n-1) * n](https://tex.z-dn.net/?f=f%28n%29%20%3D%20f%28n-1%29%20%2A%20n)
Answer:
15
Step-by-step explanation:
9 squared + 12 squared