Im not in expert at this but i did the best i could im 80% sure this is the anser if not im sorry x > 30
Answer:
x=-1/3, y=-13/3. (-1/3, -13/3).
Step-by-step explanation:
y=x-4
4x-y=3
------------
4x-(x-4)=3
4x-x+4=3
3x+4=3
3x=3-4
3x=-1
x=-1/3
y=-1/3-4
y=-1/3-12/3=-13/3
Answer:
1) True 2) False
Step-by-step explanation:
1) Given 
To verify that the above equality is true or false:
Now find 
Expanding the summation we get

Now find 
Expanding the summation we get
Comparing the two series we get,
so the given equality is true.
2) Given 
Verify the above equality is true or false
Now find 
Expanding the summation we get


now find 
Expanding the summation we get


Comparing the series we get that the given equality is false.
ie, 
Answer:
θ = πk, 1.318+2πk, 4.965+2πk
Step-by-step explanation:
4sin(2θ) − 2sin(θ) = 0
8sin(θ)cos(θ) - 2sin(θ) = 0
2sin(θ)[4cos(θ)-1] = 0
2sin(θ) = 0
sin(θ) = 0
θ = πk
4cos(θ)-1 = 0
4cos(θ) = 1
cos(θ) = 1/4
θ ≈ 1.318+2πk, 4.965+2πk
Therefore, θ = πk, 1.318+2πk, 4.965+2πk