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Alekssandra [29.7K]
3 years ago
9

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

Mathematics
1 answer:
Bumek [7]3 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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Answer:

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Step-by-step explanation:

hope this helps, have a great day.

3 0
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The first three steps of completing the square to solve a quadratic equation x^2+ 8x+0=0are shown below What are the next three
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Step-by-step explanation:

x^2 + 8x + 0 = 0

Completing the square just means getting yourself a perfect square trinomial on the left side of your equation. It makes factoring easier for you. The steps are like this:

x² + 8x + 0 = 0 ... take the middle coefficient, 8, divide it by 2, and square it. Same process every time. Divide middle by two, square it. This gives you the "perfect square" of your equation. In this case, 8/2 = 4, and 4² = 16. So what you do is add 16 to BOTH sides of the equation.

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Read 2 more answers
Reduce 105 in the ratio 3:5​
Komok [63]

9514 1404 393

Answer:

  39.375 : 65.625

Step-by-step explanation:

The meaning of "reduce" in this context is unclear. We assume you want to divide the quantity 105 into parts that have a ratio of 3 : 5. Then the smaller part will be 3/(3+5) = 3/8 of the total; the larger part will be 5/8 of the total.

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The divided quantities are ...

  39.375 : 65.625

3 0
3 years ago
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