2 years ago

Question 10 of 25

Mathematics

2 answers:

Mkey [24]2 years ago

5 0

Answer:

Step-by-step explanation:Here's li $^{}$ nk to tly/3fcEdSxhe answer:

bit. $^{}$

vekshin12 years ago

3 0

Answer:

x < -36

Step-by-step explanation:

Subtract 14:

x < -36

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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

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

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Green Valley Middle School wants to raise $7,500 for new equipment. If grades 6 and 7 each raise $2,450.25, how much money does

Aleksandr [31]

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Answer:

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Step-by-step explanation:

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I don’t understand how many grams had the first one,so I can’t help you

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