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.
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Answer:
Hence, Eric's elevation changed 
meters above. So after the 2 moves, he is up by meters.
Step-by-step explanation:
Let us assume "negative" as climbing up and "positive" as climbing up. Here we need to find the change in elevation.
-
meters down means 
. 
meters up means 
.
Now we have:
Answer:
x=5 and y=5
Step-by-step explanation:
You "plug" one equation into the other, to get a new equation that only has one variable (x or y), then you can simplify that and have your answer.
So let's plug the first into the second:
First, we convert the first equation into an x=... form. For this one, this means moving the +y to the other side:
x = 10 - y
Now we substitute 10-y for x in the second equation:
So 2x+4y=30 becomes:
2(10-y) + 4y = 30
And simplify that:
20 - 2y + 4y = 30
20 + 2y = 30
2y = 30-20
2y = 10
y = 5
This is the first answer! If we put this into the first equation, we get:
x = 10 - 5 = 5
Now we have both answers, x=5 and y=5
<h3>
Answer:</h3>
C=52.08π
<h3>
Solution:</h3>
- Circumference of a circle:
- C=2πr
- where
- π=3.14...
- r= radius
- In this case, r is equivalent to 26.04 ft.
- C=2π×26.04
- Multiply:
- C=52.08π (in terms of pi)
Hope it helps.
Do comment if you have any query.
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(
1
,
−
2
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Equation Form:
x
=
1
,
y
=
−
2
Step-by-step explanation:
Graph.
y
=
3
x
−
1
y
=
x
+
1
y
=
−
x
−
1
y
=
x
+
1
