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artcher [175]
3 years ago
8

Help me with algebra

Mathematics
1 answer:
Keith_Richards [23]3 years ago
8 0
20 because 70 divide by  = 35
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Please help with imaginary numbers worksheet!
mihalych1998 [28]

Problem 5

<h3>Answer:   6i</h3>

------------------

Explanation:

We have these four identities

  • i^0 = 1
  • i^1 = i
  • i^2 = -1
  • i^3 = -i

Notice how computing i^4 leads us back to 1. So i^4 = i^0. The pattern repeats every 4 terms. So we divide the exponent by 4 and look at the remainder. We ignore the quotient entirely. We can see that 28/4 = 7 remainder 0. Meaning that i^28 = i^0 = 1.

We can think of it like this if you wanted

i^28 = (i^4)^7 = 1^7 = 1

Then the sqrt(-36) becomes 6i

So overall, we end up with the final answer of 6i

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

Problem 6

<h3>Answer:  -3i</h3>

------------------

Explanation:

We'll use the ideas mentioned in problem 5

46/4 = 11 remainder 2

i^46 = i^2 = -1

sqrt(-9) = 3i

The two outside negative signs cancel out, but there's still a negative from -1 we found earlier. So we end up with -3i

In other words, here is one way you could write out the steps

-i^{46}*-\sqrt{-9}\\\\-i^{2}*-3i\\\\i^{2}*3i\\\\-1*3i\\\\-3i\\\\

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

Problem 7

<h3>Answer:   -1</h3>

------------------

Work Shown:

i^10 = i^2 because 10/4 = 2 remainder 2

i^19 = i^3 because 19/4 = 4 remainder 3

i^7 = i^3 because 7/4 = 1 remainder 3

Again, all we care about are the remainders.

i^{10}+i^{19} - i^{7}\\\\i^{2}+i^{3} - i^{3}\\\\i^{2}\\\\-1

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

Problem 8

<h3>Answer:    -1 + i</h3>

------------------

Work Shown:

i^22*i^6 = i^(22+6) = i^28

Earlier in problem 5, we found that i^28 = i^0 = 1

So,

i^1 - \left(i^{22}*i^{6}\right)\\\\i^1 - i^{28}\\\\i^1 - i^{0}\\\\i - 1\\\\-1+i

8 0
3 years ago
Read 2 more answers
Round 150,893 to the nearest thousand.
Kaylis [27]

Answer:

151,000

Step-by-step explanation:

7 0
3 years ago
DEFG is a square. Find the measure of each of the angles,
kodGreya [7K]

Answer:

EFG = 90°

GDH = 45°

FEG = 45°

DHG = 90°

have a great day!

7 0
2 years ago
If the profits in your consulting business increase by 6​% one year and decrease by 3​% the following​ year, your profits are up
Naddika [18.5K]

Answer:

its 1.388 p

Step-by-step explanation:

i hope this helps

3 0
3 years ago
Mary makes biws for floral arrangements she uses 1/8 yard of ribbon for each bow how many bows can she make from two spools that
olga2289 [7]
STEP 1:
Calculate total amount of ribbon
= 2 spools * 24 yards each
= 48 yards total

STEP 2:
Divide total yards (48 yards) by portion size (1/8 yard)

= 48 ÷ 1/8
to divide fractions, we multiply by the reciprocal/inverse of 1/8
= 48 * 8/1
= 48 * 8
= 384 bows

ANSWER: She can make 384 bows.

Hope this helps! :)
5 0
3 years ago
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