Answer:
Step-by-step explanation:
In the rectangular complex number -9√3 + 9i, which has a standard form a + bi, the a = -9√3 and the b = 9. We need this in polar form (r, θ) where
and filling in:
(notice we do not put the i in there with the 9).
so
r = 18. Now let's move on to the angle, which is a little more difficult. The angle is found in the inverse tangent ratio:
so filling that in, we have:
Since tangent is the side opposite over the side adjacent, y is positive and x is negative in the second quadrant. This is a 30 degree angle in QII, which has a reference angle of 150 degrees. This angle in radians is 
, so the polar form of that number is (18, 
)
Answer:
Use rules of logarithms to expand.
Undefined!
Step-by-step explanation:
Answer:what!?
Step-by-step explanation:
Answer:
x = - 4
Step-by-step explanation:
First do distributive property
5x-15=10x+5
then add 15
5x=10x+20
-10x
-5x=20
divide 5
x=-4
Because 19 is being divided, you have to do the opposite. What's the opposite of division? Multiplication. So multiply 19 to -7, then get rid of the 19 on the x's side(cuz it was cancelled out). Now you should have x<-133. In case you don't know, positive times negative equals negative, but negative times negative equals positive.
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hope it helps
