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VashaNatasha [74]
3 years ago
13

Which of the following is equivalent to the complex number i^8?

Mathematics
2 answers:
sergeinik [125]3 years ago
7 0

Answer:

The correct answer is B.  i⁸ = 1

Step-by-step explanation:

You can work this out by noting that 2 is a factor of 8, and 8 is a multiple of 2.  With that we can say:

i^8\\= (i^2)^4\\= -1^4\\= 1

Maru [420]3 years ago
4 0

Answer:

I think the answer is -1

Step-by-step explanation:

the sequence goes i, -i, 1, -1

Right? >_>

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Express the area A of a right triangle as a function of the height h if the base of the triangle is twice it's height
borishaifa [10]
Base = 2 x height (b = 2h)
Area = 1/2 x base x height = 1/2 x 2h x h = h x h = h^2
8 0
3 years ago
Solve y = −23(x + 9) + 4 for x when y = 0.
Vlad [161]

Answer:

x = -203/23

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

y = -23(x + 9) + 4

y = 0

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute in <em>y</em>:                                                                                                  0 = -23(x + 9) + 4
  2. [Subtraction Property of Equality] Subtract 4 on both sides:                        -4 = -23(x + 9)
  3. [Division Property of Equality] Divide -23 on both sides:                                4/23 = x + 9
  4. [Subtraction Property of Equality] Subtract 9 on both sides:                        -203/23 = x
  5. Rewrite:                                                                                                             x = -203/23
3 0
3 years ago
Read 2 more answers
Rachel earned $42 for 3 1/2 hours at her job today. How much does Rachel earn per hour?
Firdavs [7]
The answer is $12 an hour because 12 times 3 is 36 and half of 12 is 6 so add 6 to 36 and you get 42.
8 0
3 years ago
A 14.4-inch poster is ruled in 9 columns of equal width. How wide is each column?
konstantin123 [22]

14.4 inches / 9 = 1.6 inches

Each column is 1.6 in wide

8 0
3 years ago
There are 5 different families of triplets at a triplets convention. Each triplet shook hands with all the other triplets, excep
Verizon [17]

There is a total of 90 handshakes.

<h3>How many handshakes took place?</h3>

There are 5 sets of triplets.

If we select one of the sets, each of the triplets will have one handshake with the other 12 people. So we have 36 handshakes at this point.

Now we only care for the other 4 sets.

We select one set again, each triple on that set will have one handshake with the other 9 people, so for the 3 triplets, we have a total of 27 new handshakes.

For the remaining 3 sets we do the same, this time we add 18 handshakes.

Finally, there are 2 sets of triplets, this time we add 9 new handshakes.

To get the total number of handshakes we need to add them all:

36 + 27 + 18 + 9 = 90

There is a total of 90 handshakes.

If you want to learn more about additions:

brainly.com/question/25421984

#SPJ1

5 0
2 years ago
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