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MAXImum [283]
3 years ago
13

PLS HELP 10 POINTS QUESTION IN PIC

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
6 0

Answer:

Some integers are irrational

Step-by-step explanation:

An integer must be a whole number so it will always be rational.

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Suppose a and b are both non zero real numbers. Find real numbers c and d such that 1/a+ib= c+id
Thepotemich [5.8K]

\begin{gathered} c=\frac{a}{a^2+b^2} \\ d=\frac{-b}{a^2+b^2} \end{gathered}

Explanation

\frac{1}{a+bi}=c+di

Step 1

multiplicate by the conjugate

\begin{gathered} \frac{1}{a+bi}\cdot\frac{a-bi}{a+bi}=\frac{a-bi}{(a+bi)(a-bi)}=\frac{a-bi}{a^2-(bi)^2} \\ \frac{1}{a+bi}\cdot\frac{a-bi}{a+bi}=\frac{a-bi}{(a+bi)(a-bi)}=\frac{a-bi}{a^2-(-b^2)}=\frac{a-bi}{a^2+b^2} \end{gathered}

notice that

\begin{gathered} \frac{1}{a+bi}=\frac{a-bi}{a^2+b^2}=\frac{a}{a^2+b^2}-\frac{b}{a^2+b^2}i \\ \frac{a}{a^2+b^2}-\frac{b}{a^2+b^2}i=c+di \\ so \\  \end{gathered}\begin{gathered} c=\frac{a}{a^2+b^2} \\ d=\frac{-b}{a^2+b^2} \end{gathered}

I hope this helsp you

6 0
1 year ago
What is the precent of increase from 5 to 6?
Law Incorporation [45]

Answer:

20

Step-by-step explanation:

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1440 will be your least common multiple
7 0
3 years ago
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12x>9 (2x-3)-15 solve for x and show steps please.
Verdich [7]

12x > 9(2x-3)-15

distribute the 9

12x > 18x-27 -15

combine like terms on the right side

12x > 18x-42

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divide both sides by -6

x = -42 / -6 = 7

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4 0
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NEED HELP NOWWW Which of the following is a monomial?
Dafna11 [192]

Answer: C

Step-by-step explanation:

A monomial is a expression where in it is x to the power of something, and x cannot be a denominator

4 0
3 years ago
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