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Alekssandra [29.7K]
2 years ago
9

5(6-i)+(6-i)(3-i). show work.

Mathematics
1 answer:
Bumek [7]2 years ago
4 0

47 -14i

You can work this out in the straight-forward way, or you can recognize that (6-i) is a common factor. In the latter case, you have ...

... = (6-i)(5 + 3-i)

... = (6 -i)(8 -i)

This product of binomials is found in the usual way. Each term of one factor is multiplied by each term of the other factor and the results summed. Of course, i = √-1, so i² = -1.

... = 6·8 -6i -8i +i²

... = 48 -14i -1

... =

_____

A suitable graphing calculator will work these complex number problems easily.

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If the initial figure is 10 and then it is dilated with a scale factor of 2 what's the perimeter of dilated figure?
Gelneren [198K]

Answer:

20

Step-by-step explanation:

Initial figure times scale factor = result

10 times 2 = 20

I hope this helps!

8 0
2 years ago
8. Use the information below about an example company to calculate the financial ratios below.
11Alexandr11 [23.1K]
<span>Given:
Net profit before tax = $208,000
Total equity = $500,000
Total assets = $330,000
Total liabilities = $150,000
Current assets = $64,000
Current liabilities= $45,000

Return on Equity = Net Income / Shareholder's equity = 208,000 / 500,000 = 0.416 or 41.6%.

Return on Assets = Net Income / Total Assets = 208,000 / 330,000 = 0.63 or 63%

Debt ratio = Total Liabilities / Total Assets = 150,000 / 330,000 = 0.4545 or 45.45%

Debt to equity ratio = Total liabilities / Total Equity = 150,000 / 500,000 = 0.30 or 30%

Current ratio = Current Assets / Current Liabilities = 64,000 / 45,000 = 1.42</span>
8 0
2 years ago
If the AREA of the rectangle at the right is 22 3/4 square inches, what is the width of the rectangle?
sergejj [24]

Answer:

3.25 or 3 1/4 inches

Step-by-step explanation:

A = lw

22.75 = 7w

w = 3.25 which is 3 1/4

6 0
3 years ago
A gardener found that he was able to plant 1/4 of a packet of flower seeds in 1/5 of a garden.At this rate how much of the garde
telo118 [61]

Answer: \frac{4}{5} of garden.


Step-by-step explanation:

Given: The area covered by \frac{1}{4} of a packet of flower seeds=\frac{1}{5} of a garden.

The area covered in 1 packet=4\times\frac{1}{5}

⇒The area covered in 1 packet=\frac{4}{5} of garden.

Thus, the entire packet of seeds would cover \frac{4}{5} of garden.

3 0
3 years ago
In aremethic, variables look like
Digiron [165]

Answer:

variables look like letters of the alphabet.

I hope this helps

5 0
2 years ago
Read 2 more answers
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