Write <em>z</em> in polar form:
<em>z</em> = 1 + √3 <em>i</em> = 2 exp(<em>i</em> <em>π</em>/3)
Taking the square root gives two possible complex numbers,
√<em>z</em> = √2 exp(<em>i</em> (<em>π</em>/3 + 2<em>kπ</em>)/2)
with <em>k</em> = 0 and <em>k</em> = 1, so that
√<em>z</em> = √2 exp(<em>i</em> <em>π</em>/6) = √(3/2) + √(1/2) <em>i</em>
and
√<em>z</em> = √2 exp(<em>i</em> 7<em>π</em>/6) = -√(3/2) - √(1/2) <em>i</em>
Answer:
D.) If soccer balls are sold for $2.05 or $14.61 each, the store will break even but will not make a profit.
Step-by-step explanation:
Let us assume x = selling price of each soccer ball
y = daily profit earned from selling of soccer balls
Given that
Y=
where,
a = -6
b = 100
c = -180
Now we have to applied the formula which is as follows
x
x^1 = -2.05285
Now
x^2
x^2 = 14.6138
Based on this the option D is most appropriate as per the given situation
Answer:
5
Step-by-step explanation:
Hello,
if x = y then x-y = 0
and then 5 + 2(x-y) = 5 + 2*0 = 5 + 0 = 5
hope this helps
Answer:
2x + 12
Explanation:
10x - 8x = 2x, 2 + 10 = 12, so the simplified answer is 2x + 12
Answer:
3(x−2)(x+4)
Step-by-step explanation:
Dude its really hard to make a explanation. I recommend looking on math papa and typing in the question. Im sorry, but heres the answer.