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vekshin1
3 years ago
7

What is the quotient of the complex number 4-3i divided by its conjugate?

Mathematics
1 answer:
bazaltina [42]3 years ago
3 0

9514 1404 393

Answer:

  0.28 -0.95i

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator.

  \dfrac{4-3i}{4+3i}=\dfrac{(4-3i)(4-3i)}{(4+3i)(4-3i)}=\dfrac{7-24i}{25}=\boxed{0.28-0.96i}

_____

<em>Additional comment</em>

If the original number is A∠β, the ratio is 1∠(2β), the square of the unit vector in the same direction as the original.

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2 years ago
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umka21 [38]


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3 years ago
Pls can someone pls help me <br> Please show your work
Lana71 [14]

Answer:

x = 8

I dunno what the question is in the first place, but I assume you are solving for x.

Step-by-step explanation:

The two given angles are equivalent because they are parallel and they have a line that intersects.

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7 0
2 years ago
1. The cafeteria manager at a middle school wanted to keep track of how many student breakfast and lunches were sold on a Monday
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6 0
4 years ago
A committee must be formed with 4 teachers and 5 students. If there are 7 teachers to choose from, and 15 students, how many dif
nikitadnepr [17]

Answer:

Step-by-step explanation:

There are a total of 10 persons (6 teachers + 4 students) from which a committee of 5 is to be formed. This can be done in 10C5 ways.

The number of ways that a committee can be formed with no students in it is to select 5 teachers out of the pool of 6 teachers available. This can be done in 6C5 ways.

Therefore the total number of ways that the committee can be formed with at least one student in it is 10C5 - 6C5.

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Therefore the required number of ways = 246

6 0
3 years ago
Read 2 more answers
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