a) T = 4K / M
1) multiply both sides by M => TM = 4K
2) divide both sides by 4 => K = TM / 4
Answer: K = TM / 4
b) bm - Kn = 14
1) add Kn to both sides => bm = 14 + Kn
2) subtract 14 from both sides => bm - 14 = Kn
3) divide both terms by n => K = [bm - 14] / n
Answer: K = [bm - 14] / n
Area = length * width
Or
A = lw
So:
A = (12)(9)
A = 12 * 9
A = 108
<em>Note: </em><em>You seem to have missed entering the complete question. I am assuming you want to get the simplified version of the stated expression. So, I will solve it accordingly.</em>
<em />
Answer:
The simplification of the expression is:
![3\left(4h+2k\right)\cdot \:3=\:36h+18k](https://tex.z-dn.net/?f=3%5Cleft%284h%2B2k%5Cright%29%5Ccdot%20%5C%3A3%3D%5C%3A36h%2B18k)
Step-by-step explanation:
Given the expression
![3\left(4h+2k\right)3](https://tex.z-dn.net/?f=3%5Cleft%284h%2B2k%5Cright%293)
simplifying the expression
![3\left(4h+2k\right)3](https://tex.z-dn.net/?f=3%5Cleft%284h%2B2k%5Cright%293)
![=3\left(4h+2k\right)\cdot \:3](https://tex.z-dn.net/?f=%3D3%5Cleft%284h%2B2k%5Cright%29%5Ccdot%20%5C%3A3)
![=3\cdot \:3\left(4h+2k\right)](https://tex.z-dn.net/?f=%3D3%5Ccdot%20%5C%3A3%5Cleft%284h%2B2k%5Cright%29)
![\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3Athe%5C%3Adistributive%5C%3Alaw%7D%3A%5Cquad%20%5C%3Aa%5Cleft%28b%2Bc%5Cright%29%3Dab%2Bac)
![=3\cdot \:3\cdot \:4h+3\cdot \:3\cdot \:2k](https://tex.z-dn.net/?f=%3D3%5Ccdot%20%5C%3A3%5Ccdot%20%5C%3A4h%2B3%5Ccdot%20%5C%3A3%5Ccdot%20%5C%3A2k)
![\mathrm{Multiply\:the\:numbers:}\:3\cdot \:3\cdot \:4=36](https://tex.z-dn.net/?f=%5Cmathrm%7BMultiply%5C%3Athe%5C%3Anumbers%3A%7D%5C%3A3%5Ccdot%20%5C%3A3%5Ccdot%20%5C%3A4%3D36)
![=36h+3\cdot \:3\cdot \:2k](https://tex.z-dn.net/?f=%3D36h%2B3%5Ccdot%20%5C%3A3%5Ccdot%20%5C%3A2k)
![\mathrm{Multiply\:the\:numbers:}\:3\cdot \:3\cdot \:2=18](https://tex.z-dn.net/?f=%5Cmathrm%7BMultiply%5C%3Athe%5C%3Anumbers%3A%7D%5C%3A3%5Ccdot%20%5C%3A3%5Ccdot%20%5C%3A2%3D18)
![=36h+18k](https://tex.z-dn.net/?f=%3D36h%2B18k)
Therefore, the simplification of the expression is:
![3\left(4h+2k\right)\cdot \:3=\:36h+18k](https://tex.z-dn.net/?f=3%5Cleft%284h%2B2k%5Cright%29%5Ccdot%20%5C%3A3%3D%5C%3A36h%2B18k)
Rotate once to the left side