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sveta [45]
3 years ago
5

Which fraction do you multiply by to simplify 5/ 4 - 3i ?

Mathematics
1 answer:
Rzqust [24]3 years ago
3 0
So I assume
\frac{5}{4-3i}

If so. Let us begin.

\mathrm{Multiply\:by\:the\:conjugate}\:\frac{4+3i}{4+3i} \ \textgreater \  \frac{5\left(4+3i\right)}{\left(4-3i\right)\left(4+3i\right)} \ \textgreater \  \left(4-3i\right)\left(4+3i\right)

\mathrm{Apply\:complex\:arithmetic\:rule}:\ \left(a+bi\right)\left(a-bi\right)=a^2+b^2
Where\;a=4,\:b=-3 \ \textgreater \  4^2+\left(-3\right)^2 \ \textgreater \  Refine \ \textgreater \  25

\frac{5\left(4+3i\right)}{25} \ \textgreater \  \mathrm{Cancel\:the\:common\:factor:}\:5 \ \textgreater \  \frac{4+3i}{5}

Group\:the\:real\:part\:and\:the\:imaginary\:part\:of\:the\:complex\:number
\frac{4}{5}+\frac{3}{5}i\;is\;our\;answer!

Hope this helps!
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Area = length x width
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The sticker covers 72 cm of the notebook.
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3 years ago
25-3x-2-4x+5 has how many coefficients and how many expressions
adoni [48]

Answer:

This expression has 2 coefficients, (-3 and -4), because any number with a variable is a coefficient. That means 25, -2, and 5 are all constants, because they don't have variables.

Variables are the x's in this case.

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A spinner is divided into eight equal-sized sections, numbered 1 to 8, inclusive. What is true about spinning the spinner one at
zvonat [6]

Answer with explanation:

The number of section into which Spinner is divided =Number from 1 to 8={1,2,3,4,5,6,7,8}

Now, Spinner is Spun once .

The Correct statement among the given statements are:

→1.   S={1,2,3,4,5,6,7,8}

→2. If A is a subset of S, A could be {1,2,3} , because , {1,2,3}⊂{1,2,3,4,5,6,7,8}.

→5.If a subset A represents the complement of spinning an odd number, it’s sample space is A={2,,4,6,8}

A=odd number={1,3,5,7}

A's Complement=Even Number={2,4,6,8}

Why, not 3 and 4, because, The number of elements in the set is from 1 to 8, but the subset has three elements, 7,8, and 9.Element, 7 ∈ S, 8∈S, but , 9∈S.

Also, number less than 4, is equal to ={1,2,3}, but in the statement, it is given that,number less than 4, it’s sample space is A={1,2,3,4},which is Incorrect.

7 0
3 years ago
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laiz [17]
Clara will she will have 16 phone calls while Toby will have 15
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3 years ago
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Luba_88 [7]

Answer:

252 in²

Step-by-step explanation:

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Area = (1/2)*(63)*(7)

= 252 in²

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3 years ago
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