5? Did you mean to insert a picture
Answer:
2sin(2x)-2sinx+2sqrt3cosx-sqrt3 = 0
-----
4sin(x)cos(x) - 2sin(x) + 2sqrt(3)cos(x) - sqrt(3) = 0
-----
Factor:
2sin(x)[2cos(x)-1] + sqrt(3)[2cos(x)-1] = 0
-----
[2cos(x)-1][2sin(x)+sqrt(3)] = 0
Solve:
2cos(x)-1 = 0 or 2sin(x)+sqrt(3) = 0
cos(x) = 1/2 or sin(x) = -sqrt(3)/2
x = +/-pi/3 or x = -pi/3 or (4/3)pi
hope this helps!
(a) Using the completing the square method, we need to write into the form of where , so
Expand to find the value of c
Notice that we get back the first two terms, the and the .We need to get rid of the last term of '9' as the term was not in the original form. The final form will look like
Hence,
(b)
(c) , square root both sides plus and minus of 2 Hence
The coordinates of F' is (-9 + 3, 2 - 8) = (-6, -6)
The function for the monthly charge for water service would be
F(x) = 32 + 6.53x where x=the number of kilogallons used.
