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.
Answer:
<u>142 Grey, 83 white, 76 black</u>
Step-by-step explanation:
If you were to take 5 boxes and put 24,12,12 in each, then multiply each number by 5 you wpuld get 120 Grey, 60 white and 76 black. Then you would add what they already have 120 Grey + 22 Grey is 142 grey, 60 white + 23 white is 83 white, and 60 black + 16 black is 76 black.
Answer:
5/12
Step-by-step explanation:
5/6 divided by 2
= 5/6 divided by 2/1
= 5/6 x 1/2
= 5 x 1 over 6 x 2
= 5 over 6 x 2
= 5 / 12
First: 0
Second: 0
Third: -5
Fourth: y=4x
Cid Sam is a way to remember
C -control S - SAME (keep the same)
I -independent A- alter
D-depend M- measure
independent- number of downloads
Dependant - money spent
