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.
The expression of the decimal number 65.8246 in word form is; tens + 5 ones + 8 tenths + 2 hundredths + 4 thousandths
<h3>How to express decimal numbers?</h3>
A decimal is a number that consists of a whole and a fractional part. Decimal numbers lie between integers and represent numerical value for quantities that are whole plus some part of a whole.
Now, we are given the decimal number 65.824 to write in words. This can be written as;
6 tens + 5 ones + 8 tenths + 2 hundredths + 4 thousandths
The reason for the above is that we can rewrite the given decimal in fraction form as;
60 + 5 + 8/10 + 2/100 + 4/1000
Read more about decimal expressions at; brainly.com/question/20053870
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Answer:
729 cubic meters
Step-by-step explanation:
Volume of cube is given by side^3
where side is length of the side
Given in the problem
side is 9 meters as length, width, and height of fort is 9 meters and it is in cube shape .
Thus,
volume of cube = 9^3 = 9*9*9 = 729
Thus, volume of Haley's fort is 729 cubic meters.
Your answer most likely will be A
Answer:
D
Step-by-step explanation:
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