Answer:
Options (2) and (3)
Step-by-step explanation:
Let, 
-8 + 8i√3 = a² + b²i² + 2abi
-8 + 8i√3 = a² - b² + 2abi
By comparing both the sides of the equation,
a² - b² = -8 -------(1)
2ab = 8√3
ab = 4√3 ----------(2)
a = 
By substituting the value of a in equation (1),
48 - b⁴ = -8b²
b⁴ - 8b² - 48 = 0
b⁴ - 12b² + 4b² - 48 = 0
b²(b² - 12) + 4(b² - 12) = 0
(b² + 4)(b² - 12) = 0
b² + 4 = 0 ⇒ b = ±√-4
b = ± 2i
b² - 12 = 0 ⇒ b = ±2√3
Since, a =
For b = ±2i,
a = 
= 
= 
But a is real therefore, a ≠ ±2i√3.
For b = ±2√3
a = 
a = ±2
Therefore, (a + bi) = (2 + 2i√3) and (-2 - 2i√3)
Options (2) and (3) are the correct options.
If you take 1/2 of a pizza and divide it up between 6 people, will you have more than 1 whole Pizza or less than 1 whole pizza?
If you divide up a fraction into smaller pieces it will always be less than 1 because it started out less than 1 and you're making it even smaller.
Answer:
4719
Step-by-step explanation:
Answer:
Step-by-step explanation:
What subject is that?
Answer:
204,160,000
Step-by-step explanation:
Assuming the sample is a good representation of the people from the United States.
Since there were 1,000 surveyed... and 638 of them were wearing glasses, that makes a proportion of 638 out of 1,000 people, or 63,8 / 100 people... so 63.8%... or 0.638
So, if we assume that the US population is of 320 million, how many people does that make wearing glasses.... we just have to multiply 320M by 0.638
G = 320,000,000 * 0.638 = 204,160,000
