Answer:
yes it is, the answer is 2633
1: Perimeter
2:Dimensions
3:scale
The correct value of (3cis(pi/6))³ is 27i.
<h3>What is Complex Number?</h3>
Complex numbers are numbers that consist of two parts — a real number and an imaginary number. Complex numbers are the building blocks of more intricate math, such as algebra.
Given the complex number in polar coordinate expressed as
z = r(cos∅+isin∅)
zⁿ = {r(cos∅+isin∅)}ⁿ
According to DeMoivre’s Theorem;
zⁿ = rⁿ(cosn∅+isinn∅)
Given the complex number;
(3cis(pi/6))³
= {3(cosπ/6 + isinπ/6)}³
Using DeMoivre’s Theorem;
= 3³(cos3π/6 + isin3π/6)
= 3³(cosπ/2 + isinπ/2)
= 3³(0 + i(1))
= 27i
Thus, the correct value of (3cis(pi/6))³ is 27i.
Learn more about Complex number from:
brainly.com/question/10251853
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Answer:
if 
Step-by-step explanation:
Recall some following basic ideas about absolute value:
or I guess 
or just 
but there is a reason why I wrote it the way I did.
You see that the absolute value returned the same value if the value was positive.
You see that the absolute value returned the opposite value if the value was negative.
You can include 0 in either.
Let's look at 
alone for a second.
*
if is positive or zero.
When is positive or zero? [greater than or equal to 0]
Subtract 3 on both sides
*
if is negative or zero.
When is negative or zero? [less or equal to 0]
Subtract 3 on both sides
So looking at the bullet points (the *), fits into the first inequality.
Therefore, .
Answer:
x=-5 Hope this helped! Goodnight!
Step-by-step explanation:
Let's solve your equation step-by-step.
−3(2x+6)=12
Step 1: Simplify both sides of the equation.
−3(2x+6)=12
(−3)(2x)+(−3)(6)=12(Distribute)
−6x+−18=12
−6x−18=12
Step 2: Add 18 to both sides.
−6x−18+18=12+18
−6x=30
Step 3: Divide both sides by -6.
−6x
/−6
=
30
/−6
x=-5
