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:
$5100 would be $76.50
$4876 would be $73.14
$5215 would be $78.23
$6225 would be $93.38
$5235 would be $78.53
Step-by-step explanation:
To find commissions take your sale price and multiply it by your percentage and divide by 100
Respuesta:
8
Explicación paso a paso:
Si A, B y C son números enteros, según la propiedad distributiva;
A (B + C) = AB + AC
tenga en cuenta que A se distribuyó sobre B y C
Aplicando esto para expandir la expresión dada -4. (-5 + 3)
-4. (-5 + 3)
= -4 (-5) + -4 (3)
= 20 + (-12)
= 20 - 12
= 8
Por lo tanto, la respuesta requerida es 8
Answer:
59.52 days
Step-by-step explanation:
So this is a simple problem we can solve easily
If it takes 3 days to read 50 pages then obviously his rate of reading is 50 pages per day
If we divide 992 by 50, then we can find how many 3 day increments it will take him
(992/50 is 19.84)
Now is we multiply 19.84 by 3, we get the total amount of days which is 59.52
I hope I helped and have a wonderful day!
Answer:
C. postulate; theorem
Step-by-step explanation:
While a "given" is taken as true without proof, and a "problem" sometimes involves an assertion that can be proven, the answer choices involving these terms are not correct here.
The dictionary definitions of "postulate" and "theorem" apply. It is useful to learn the meaning of these terms so you can understand problems and descriptions that use them.