Use proportions:
(7x-4)/31 = (4y+8)/24 = (y+2)/6
Multiply:
6*(7x-4) = 31*(y+2)---> 42x-24 = 31y+62 ---> 11y = 86, y = 86/11
I don;t like that is looks 'ugly', instead of sth like y = 88/11=8. I think 86/11 is the answer. Check the math! :)
*Hint: The Law of Sines is Sin A/a = Sin B/b = Sin C/c
In order to solve this equation, you will have to use this equation:
A= sin^(-1)[a sinB/b]
A= sin^ (-1) [12 (sin 46°) / 11]
A = sin^ (-1) [8.632077604/11]
A = sin ^(-1) [0.7847343276]
A = 51.69611349
Therefore, Sine A would be about 52°
The correct answer is 4a^2 + 3ab
In order to find this, we can write the equation out as described and then follow the order of operations.
3a^2 - 2ab + 3b^2 - (-a^2 - 5ab + 3b^2) ----> Distribute the negative
3a^2 - 2ab + 3b^2 + a^2 + 5ab - 3b^2 ----> Combine like terms
4a^2 + 3ab