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Charra [1.4K]
3 years ago
15

Given g(x)= -x-4, solve for x when g(x) =10

Mathematics
1 answer:
dalvyx [7]3 years ago
5 0

Answer:

10 =  - x - 4 \\ 10 + 4 =  -  \times  \\ 14 =  - x \\ x =  - 14

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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
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\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

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1 year ago
Mrs. Kelso and Mr. Bonham gave each their student a small bag of colored tiles. The student each counted the number of purple ti
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Answer:

Step-by-step explanation:

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3 years ago
There are 4 cats in a street,Five more come . How many cats are in a street ?
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weeeeeb [17]

Answer:

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Add like terms

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7 0
3 years ago
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AlekseyPX
0.75 x 14 = 10.50
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