Convert the polar representation of this complex number into its standard form z=4(cos150+isin150). Answer Choices:
A) (-2, 2√3)
B) (-2√3, 2)
C) (-2√3, -2)
D) (-4, 4√3)

B

Step-by-step explanation:

Using the exact values

cos150° = - cos30° = -

sin150° = sin30° =

Given

z = 4(cos150° + isin150° ) , substitute values

  = 4(- +  i )

  = - 2 + 2i , that is

(- 2, 2 ) → B

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

c. 4 and 1/2 pounds is the answer! : )