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torisob [31]
3 years ago
6

Can you help me find all the seventh roots of unity? what do they look like graphed?

Mathematics
1 answer:
alex41 [277]3 years ago
8 0

Answer:

There are seven seventh roots of unity, e2πki7 , all on the unit circle, r=1 above.

The first one is at θ=2π7=360∘7=5137 ∘ , and there are others at 4π7,6π7,8π7,10π7,12π7 and of course at 0 radians, i.e. unity itself.

How to find?

There are 4 fourth roots of unity and they are 1, i,−1 and−i

Each of the roots of unity can be found by changing the value of k k k in the expression e 2 k π i / n e^{2k\pi i/n} e2kπi/n. By Euler's formula, e 2 π i = cos ⁡ ( 2 π ) + i sin ⁡ ( 2 π ) = 1.

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1. Which expression is equivalent to the given expression? * -0.25 (84 – 32n) - n
Ira Lisetskai [31]
Hi! Multiply -0.25 by the inner numbers.

-0.25 times 84 = 21
-0.25 times -32n = -8n

Then take the -n and add that
21 -8n - n

-8n - n (or -1n) = -9n

therefore, answer would be a) 21 - 9n


7 0
2 years ago
A rectangle's length is 6 units greater than its width. Write an equation expressing the rectangle's area, A, as a function of w
Dafna11 [192]
I hope this helps you



length =width +6


Area=width × length



Area=w. (w+6)
6 0
3 years ago
Read 2 more answers
PLS HELP!
ELEN [110]

Answers:

x = 6

Each angle is 45 degrees

The diagram is shown below

=========================================================

Explanation:

Vertical angles are always congruent

Set the two expressions equal to each other and solve for x.

5x+15 = 3x+27

5x-3x = 27-15

2x = 12

x = 12/2

x = 6

As a way to check the answer, replace x with 6 in each expression. We should get the same thing on both sides

5x+15 = 3x+27

5*6+15 = 3*6+27

30+15 = 18+27

45 = 45

Each angle is 45 degrees, so the answer is confirmed.

---------

The diagram is shown below. There are infinitely many ways to draw out the diagram. In the version I drew, the angles aren't vertically aligned but instead they are opposite one another in this X configuration. So the vertical angles could be vertically aligned, but they don't have to be.

In short: draw an X shape and mark any two opposite angles to form the vertical angles.

7 0
2 years ago
PLEASE PLEASE HELP!!!!
mrs_skeptik [129]
For your first question the answer is C(-2) and your next question the answer is A(-28)
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2 years ago
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Connie and Chris are saving money to go to a concert. Each friend starts with some money and saves a specific amount each week.
Sergio039 [100]
Ok. you're looking for the slope intercept, or how much each of them had before they started saving. Chris had $27, as that is where his line crossed the y axis, and Connie, when graphed, intercepted at $9. <span />
5 0
3 years ago
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