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:
hiiii
Step-by-step explanation:
I'm here if anything!!! :)
Answer:
1. -4x < 8
2. 4x < 8
3. When something is done to one side of the equation, the same thing must be done to the other side. Dividing each side by -4 in part A would cause the sign to flip because the sign is always flipped when dividing by a negative. Because 4 in 4x (part B) is not negative, the sign is not flipped.
Step-by-step explanation:
Hope this helped!!
Answer:
n = -7,6
Step-by-step explanation:
n(n+1)+3=45
distributive property: a(b+c) = ab+ac
n²+n+3 = 45
n²+n -42 = 0
factor now
(n+7)(n-6) = 0
n = -7,6
