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QveST [7]
3 years ago
8

Divide the following complex numbers: (4-i)/(3+4i) ??

Mathematics
1 answer:
Mamont248 [21]3 years ago
3 0

Given : \frac{(4 - i)}{(3 + 4i)}

Multiplying and Dividing with (3 - 4i)

\implies\frac{(4 - i)(3 - 4i)}{(3 + 4i)(3 - 4i)}

\implies \frac{(12 - 16i + 4i^2 - 3i)}{(9 - 16i^2)}

We know that i² = -1

\implies \frac{(12 - 19i - 4)}{(9 + 16)}

\implies \frac{8 - 19i}{25}

\implies \frac{8}{25} - \frac{19}{25}i

Option D is the Answer

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Answer:

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Step-by-step explanation:

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<em>Additional comment</em>

It can be tedious to enter these numbers correctly into a calculator. Many folks prefer a calculator that provides a "tape", a record of the amounts and operations the calculator uses in the computation. Alternatively, you can put the numbers in a spreadsheet and use the SUM function to do the addition for you. That, too, makes it easy to check that numbers have been entered correctly.

The attachment shows the calculation done in a spreadsheet.

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3 years ago
Please help with number 1! Thanks
Darina [25.2K]
To convert -34º C to Fahrenheit, plug the temperature in Celsius in the formula and solve.
F = 9/5C + 32
F = 9/5(-34) + 32
To solve this you must first multiply.
9/5 • -34 = -61.2
F = -61.2 + 32
Now add.
-61.2 + 32 = -29.2
The answer is -34º C equals -29.2º F.

Hope this helps!
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