Answer:
18x+24
Step-by-step explanation:
For this, you have to multiply 6 to the numbers inside the parenthesis.
SO, 6 x 3x and 6 x 4
6 x 3x=18x
6 x 4=24
The answer will be 18x+24
Answer:
1: NOT A FUNCTIN
Step-by-step explanation:
Answer:
![a = 1](https://tex.z-dn.net/?f=a%20%3D%201)
Step-by-step explanation:
Given
![4x - 3(x + a) = 2](https://tex.z-dn.net/?f=4x%20-%203%28x%20%2B%20a%29%20%3D%202)
![x = 5](https://tex.z-dn.net/?f=x%20%20%3D%205)
Required
Determine the value of a
![4x - 3(x + a) = 2](https://tex.z-dn.net/?f=4x%20-%203%28x%20%2B%20a%29%20%3D%202)
Substitute 5 for x
![4(5) - 3(5 + a) = 2](https://tex.z-dn.net/?f=4%285%29%20-%203%285%20%2B%20a%29%20%3D%202)
Open all brackets
![20 - 15 - 3a = 2](https://tex.z-dn.net/?f=20%20-%2015%20-%203a%20%3D%202)
![5 - 3a = 2](https://tex.z-dn.net/?f=5%20-%203a%20%3D%202)
Collect Like Terms
![-3a = 2 - 5](https://tex.z-dn.net/?f=-3a%20%3D%202%20-%205)
![-3a = -3](https://tex.z-dn.net/?f=-3a%20%3D%20-3)
Solve for a
![a = -3/-3](https://tex.z-dn.net/?f=a%20%3D%20-3%2F-3)
![a = 1](https://tex.z-dn.net/?f=a%20%3D%201)
so that means one of the relevant sides of the cylinders, namely the height, are on a 2:3 ratio, or 2/3 for that matter.
![\bf ~\hspace{5em} \textit{ratio relations of two similar shapes} \\[2em] \begin{array}{ccccllll} &\stackrel{ratio~of~the}{Sides}&\stackrel{ratio~of~the}{Areas}&\stackrel{ratio~of~the}{Volumes}\\ \cline{2-4}&\\ \cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3} \end{array}\\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cbf%20~%5Chspace%7B5em%7D%20%5Ctextit%7Bratio%20relations%20of%20two%20similar%20shapes%7D%20%5C%5C%5B2em%5D%20%5Cbegin%7Barray%7D%7Bccccllll%7D%20%26%5Cstackrel%7Bratio~of~the%7D%7BSides%7D%26%5Cstackrel%7Bratio~of~the%7D%7BAreas%7D%26%5Cstackrel%7Bratio~of~the%7D%7BVolumes%7D%5C%5C%20%5Ccline%7B2-4%7D%26%5C%5C%20%5Ccfrac%7B%5Ctextit%7Bsimilar%20shape%7D%7D%7B%5Ctextit%7Bsimilar%20shape%7D%7D%26%5Ccfrac%7Bs%7D%7Bs%7D%26%5Ccfrac%7Bs%5E2%7D%7Bs%5E2%7D%26%5Ccfrac%7Bs%5E3%7D%7Bs%5E3%7D%20%5Cend%7Barray%7D%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
![\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\stackrel{\textit{ratio of the}}{sides}}{\cfrac{2}{3}}~\hspace{7em}\stackrel{\stackrel{\textit{ratio of the}}{volumes}}{\cfrac{2^3}{3^3}}\implies \cfrac{8}{27}\implies 8:27](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7B%5Ctextit%7Bsimilar%20shape%7D%7D%7B%5Ctextit%7Bsimilar%20shape%7D%7D%5Cqquad%20%5Ccfrac%7Bs%7D%7Bs%7D%3D%5Ccfrac%7B%5Csqrt%7Bs%5E2%7D%7D%7B%5Csqrt%7Bs%5E2%7D%7D%3D%5Ccfrac%7B%5Csqrt%5B3%5D%7Bs%5E3%7D%7D%7B%5Csqrt%5B3%5D%7Bs%5E3%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20%5Cstackrel%7B%5Cstackrel%7B%5Ctextit%7Bratio%20of%20the%7D%7D%7Bsides%7D%7D%7B%5Ccfrac%7B2%7D%7B3%7D%7D~%5Chspace%7B7em%7D%5Cstackrel%7B%5Cstackrel%7B%5Ctextit%7Bratio%20of%20the%7D%7D%7Bvolumes%7D%7D%7B%5Ccfrac%7B2%5E3%7D%7B3%5E3%7D%7D%5Cimplies%20%5Ccfrac%7B8%7D%7B27%7D%5Cimplies%208%3A27)