So firstly, foil 3(4g + 6) and 2 (6g + 9): ![12g+18=12g+18](https://tex.z-dn.net/?f=%2012g%2B18%3D12g%2B18%20)
Now since the quantity is the same on both sides of this equation, this means that <u>this equation has infinite solutions.</u>
Answer:
x = -10
Step-by-step explanation:
Solve the equation by simplifying according to PEMDAS. Then use inverse operations to solve.
4(x+5) = 3(x-2) -2(x+2)
4x + 20 = 3x - 6 - 2x - 4
4x + 20 = x - 10
3x = -30
x = -10
ANSWER
The coordinates of the image are (2,2)
EXPLANATION
The mapping for a reflection across the line y=k is :
![(x,y)\to (x,2k-y)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Cto%20%28x%2C2k-y%29)
We want to find the image of the point (2,-4) after a reflection in the line y=-1.
In this case k=-1.
![(2, - 4)\to (2,2( - 1)- - 4)](https://tex.z-dn.net/?f=%282%2C%20-%204%29%5Cto%20%282%2C2%28%20-%201%29-%20-%204%29)
This simplifies to,
![(2, - 4)\to (2, - 2 + 4)](https://tex.z-dn.net/?f=%282%2C%20-%204%29%5Cto%20%282%2C%20-%202%20%2B%204%29)
![(2, - 4)\to (2, 2)](https://tex.z-dn.net/?f=%282%2C%20-%204%29%5Cto%20%282%2C%202%29)
Hence the image is (2,2)