A is the answer............ If you plot it on a graph, it shows a square.
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Answer: Choice B 
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Work Shown:
Angle theta is between 0 and pi/2, so this angle is in quadrant Q1.
Square both sides of the given equation

Then use the pythagorean trig identity to get

Answer:
The polynomial with real coefficients having zeros 2 and 2 - 2i is
x³ - 6x² + 16x - 16 = 0
Step-by-step explanation:
Given that a polynomial has zeros at 2 and 2 - 2i, we want to write this polynomial.
We have
x - 2 = 0
x - (2 - 2i) = 0
=> x - 2 + 2i = 0
Since the polynomial has real coefficients, and 2 - 2i is a zero of the polynomial, the conjugate of 2 - 2i, which is 2 + 2i is also a polynomial.
x - (2 + 2i) = 0
=> x - 2 - 2i = 0
Now,
P(x) = (x - 2)(x - 2 + 2i)(x - 2 - 2i) = 0
= (x - 2)((x - 2)² - (2i)²) = 0
= (x - 2)(x² - 4x + 8) = 0
= x³ - 4x² + 8x - 2x² + 8x - 16 = 0
= x³ - 6x² + 16x - 16 = 0
This is the polynomial required.
Answer:
Final answer is $9000.
Step-by-step explanation:
Given that Alice took out a $15,000 loan for college. She is borrowing money from two banks. Bank A charges an interest rate of 6%, and Bank B charges an interest rate of 7%. After one year, Alice owes $960 in interest.
Now we need to find out about how much money did she borrow from Bank A.
So let's assume that money borrowed from bank A = x
then money borrowed from bank B = 15000-x
Interest from bank A = 6% of x = 0.06x
Interest from bank B = 7% of (15000-x) = 0.07(15000-x)
Given total interest is $960. So we can write equation:
0.06x+0.07(15000-x)=960
0.06x+1050-0.07x=960
1050-0.01x=960
-0.01x=960-1050
-0.01x=-90

x=9000
Hence final answer is $9000.