X + 6 + x + 8 + x = 53
3x + 14 = 53
3x = 39
x = 13 and the other 2 pieces are
19 and
21
Answer:
Dang this looks hard
Step-by-step explanation:
Wish could help
Answer: 12 21
Step-by-step explanation:
Answer:
![\frac{12x^4y^4}{3x^2y}=4x^2y^3](https://tex.z-dn.net/?f=%5Cfrac%7B12x%5E4y%5E4%7D%7B3x%5E2y%7D%3D4x%5E2y%5E3)
Step-by-step explanation:
Consider an element ![a\neq 0](https://tex.z-dn.net/?f=a%5Cneq%200)
We know that ![\frac{a^m}{a^n}=a^{m-n}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%5Em%7D%7Ba%5En%7D%3Da%5E%7Bm-n%7D)
Here, m and n are exponents and a is a base. Exponent refers to the no. of times a term is multiplied by itself. Another word for exponents is powers.
Other Properties of exponents:
![a^m\times a^n=a^{m+n}\\a^0=1\\\left ( a^m \right )^n=a^{mn}](https://tex.z-dn.net/?f=a%5Em%5Ctimes%20a%5En%3Da%5E%7Bm%2Bn%7D%5C%5Ca%5E0%3D1%5C%5C%5Cleft%20%28%20a%5Em%20%5Cright%20%29%5En%3Da%5E%7Bmn%7D)
Here, we are required to divide
by
.
Consider ![\frac{12x^4y^4}{3x^2y}](https://tex.z-dn.net/?f=%5Cfrac%7B12x%5E4y%5E4%7D%7B3x%5E2y%7D)
We will solve
separately.
Here,
![\frac{12}{3}=4\\\frac{x^4}{x^2}=x^{4-2}=x^2\\\frac{y^4}{y}=y^3](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B3%7D%3D4%5C%5C%5Cfrac%7Bx%5E4%7D%7Bx%5E2%7D%3Dx%5E%7B4-2%7D%3Dx%5E2%5C%5C%5Cfrac%7By%5E4%7D%7By%7D%3Dy%5E3)
So, ![\frac{12x^4y^4}{3x^2y}=4x^2y^3](https://tex.z-dn.net/?f=%5Cfrac%7B12x%5E4y%5E4%7D%7B3x%5E2y%7D%3D4x%5E2y%5E3)
This is a geometric sequence with an initial term of 27 and a common ratio of 1/3
This just means that each term is 1/3 the term preceding it.
Any geometric sequence can be expressed as:
a(n)=ar^(n-1), a=initial term, r=common ratio, n=term number in this case:
a(n)=27(1/3)^(n-1)