Answer: 4
Step-by-step explanation: To have an equation with no solution you have to get something like 0=1 meaning you have to remove all the variables. In this equation you would distribute to get xy+2y+2x=2x+12+4x where y is the missing number. then combining like terms you get xy+2x+2y=6x+12. Subtracting 2x from both sides you get xy+2y=4x+12. Now to get the variables gone y has to be 4 so that the variables to cancel out. By plugging in 4 you can see this works; 4x+8=4x+12 and by subtracting 4x from both sides you get 8=12 which is not true meaning there is no solution.
Solving for X:
1) y=-8x+6.5 y=-4x+11
2) -8x+6.5=-4x+11
3) -8x=-4x+11-6.5 (Subtract 6.5 from both sides)
4) -8x+4x=11-6.5 (Add 4x to both sides)
5)-4x=4.5
5)x=-1.125
Solving for Y:
y=-8(-1.125)+6.5
y=9+6.5
y=15.5
y=-4(-1.125)+11
y=4.5+11
y=15.5
x=-1.125
y=15.5
or
(-1.125,15.5)
N=6 Is the answer to your question
Answer:
See below.
Step-by-step explanation:
First, use the co-function identity:
We can turn the second term into cosine:
Substitute:
Now, use the sum to product formulas. We will use the following:
Substitute:
Use the even-odd identity:
Therefore:
Replace the second term with the original term:
Proof complete.
