How do you multiple and divide complex numbers?

Answers

Answer 1

Answer:
A complex number is a binomial . . . . ( a + ib ).

To multiply two of them, just FOIL them, like you would (2x+1)(x-3) .
But while you're FOILing around, just be careful how you handle the " i "s.

To divide them is another story. I took a whole semester course
in complex numbers once, and I think we spent about 2 weeks
on dividing them. Your question is valid, but I think the answer is
too complicated to try and present here ... and plus I don't remember
how to do it ... so I'm simply going to not answer the second part
but take your points anyway.

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

I just read the other answer, posted by Andrewmj2002, and
he has some good stuff there for dividing. I just want to clean up
some of what he said:

-- To divide complex numbers, you'll make a fraction, with one
complex number in the numerator, and the other one in the
denominator.

-- Find the complex conjugate of the denominator. That's just
a new complex number with the same real part but the negative
of the same imaginary part.

Example: The complex conjugate of (A + iC) is (A - iC) .

-- Multiply both the numerator and denominator of your big fraction
by this conjugate of the denominator.
Since you're multiplying both the numerator and denominator by
the same quantity, you're not changing the value of the fraction.
But after you finish FOILing the numerator and denominator,
the numerator becomes a single, complex binomial, and the
denominator becomes all real !

-- Simplify, and you have the quotient of your original complex numbers.

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What is the thousandth positive odd number ?

Answers

so the formula for odd numbers is 2n

the nth term is 2n
the first odd number is 2(1)=2
second=2(2)

so the thousanth odd number is 2(1000)=2000

A bakery's production is modeled by function f(x), where f(x) is the number of donuts made in a day and x is the number of bags of flour needed. Choose the ordered pair that represents a possible domain and range of the function.(−1, 15)
(5, 92.75)
(10, 100)
(−5, 110.5)

Answers

it can't be A or D because they have negatives. you can't have negative donuts. you can't have 92.75 donuts therefore it's C

Final answer:

The domain and range of the function represent the possible inputs and outputs. The given ordered pairs are analyzed to determine the possible domain and range.

Explanation:

The domain and range of a function represent the possible inputs and outputs of that function. In this case, the function represents the number of donuts made in a day based on the number of bags of flour needed. The domain of the function would be the possible values for x, which is the number of bags of flour. The range of the function would be the possible values for f(x), which is the number of donuts made.

Looking at the given ordered pairs:

(-1, 15): The number of bags of flour cannot be negative, so this is not a possible domain. The range value of 15 is possible for the number of donuts made.
(5, 92.75): This is a possible ordered pair for the domain and range. The number of bags of flour is 5, and the number of donuts made is 92.75.
(10, 100): This is a possible ordered pair for the domain and range. The number of bags of flour is 10, and the number of donuts made is 100.
(-5, 110.5): The number of bags of flour cannot be negative, so this is not a possible domain. The range value of 110.5 is possible for the number of donuts made.

Based on the given options, the ordered pairs (5, 92.75) and (10, 100) represent possible domains and ranges for the function.

Learn more about Domain and Range here:

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Is 8/6 greater than or less than 11/12

Answers

$(8)/(6)\ \ \ \ and\ \ \ \ (11)/(12)\ \ \ \ \ | make\ a\ common\ denominator\ 12\n\n(16)/(12)\ \ \ and\ \ \ \ (11)/(12)\n\nNow\ it\ is\ visible\ that\ (16)/(12) \ >\ (11)/(12)\ so\ (8)/(6) \ >\ (11)/(12)\$

Greater because 8/6 is equal to a Whole number well more than a Whole number and 11/12 is less than aWhole number

Please HELPPPP
Ill offer over 15 BRANLIST!! PLEASSEEEE

Answers

Answer:

Dilation by a scale factor of 2 followed by a reflection over the y axis.

Step-by-step explanation:

The Y-axis is the vertical axis. So that cancels out the two about the x-axis. Then I counted the length of both triangles bases. Luckily for this one their bases aren't tilted but just flat. The big one is 6 and the small 3. Since it is going from one to the other you must find what number completes their equation. 3x = 6.

So that's how I got the last part of the problem

Sorry if this doesn't make sense. It seems just like ramble but it should help.

Translate the following words to algebra symbols, using "n" as the variable. The product of six and a number is 24.

Answers

so n will be the unknown, and the expression is:
6n = 24
from where we can find the number n:
n = 24/6
n = 4

How much is 19.5% of 600?

Answers

19.5% of 600 is 117.

19.5% = 0.195

0.195 * 600 = 117

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