Using the identity cos(2x) = 2 cos^2x - 1
18 + 9(2 cos^2 x - 1) = 27 cos x
18cos^2 x - 27 cos x + 9 = 0
2 cos^ x - 3 cos x + 1 = 0
(2 cos x - 1 )(cos x - 1 ) = 0
cos x = 1/2 , 1
x = pi/3, 5pi/3, 0, 2pi answer
Answer:
Third option: The graph moves left 18 units.
Step-by-step explanation:
Some transformations for a function f(x) are shown below:
If 
, the function is shifted up "k" units.
If 
, the function is shifted down "k" units.
If 
, the function is shifted left "k" units.
If 
, the function is shifted right "k" units.
In this case, we can observe that graph of 
is changed to 
Since:
We can conclude that the function is shifted left 18 units to get the function .
The constants are 2, -10, and 5
the variables are x and y
Answer:
-2*sqrt(3)/3
Step-by-step explanation:
The whole circle (in terms of area) is 360 degrees.
Area of Sector = (angle / 360) * Area of the entire circle
Area of Sector = (45 / 360) * 80 in^2
Area of sector = (1/8) * 80 in^2
Area of sector = 10 in^2
