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Grace [21]
4 years ago
8

Find the quotient of (5+2i)(6-4i)/(2+i) and express it in simplest form.

Mathematics
2 answers:
telo118 [61]4 years ago
5 0

Answer:

\frac{(5+2i)(6-4i)}{(2+i)}=\frac{68}{5}-\frac{54i}{5}

Step-by-step explanation:

We need to find \frac{(5+2i)(6-4i)}{(2+i)}

Solving

   \frac{(5+2i)(6-4i)}{(2+i)}=\frac{(30-20i+12i-8i^2)}{(2+i)}=\frac{(30-8i-8(-1))}{(2+i)}=\frac{(38-8i)}{(2+i)}\\\\\frac{(38-8i)}{(2+i)}=\frac{(38-8i)(2-i)}{(2+i)(2-i)}=\frac{(76-38i-16i+8i^2)}{(4-2i+2i-i^2)}=\frac{(76-54i+8(-1))}{(4-(-1)))}=\frac{(68-54i)}{5}=\frac{68}{5}-\frac{54i}{5}

So, \frac{(5+2i)(6-4i)}{(2+i)}=\frac{68}{5}-\frac{54i}{5}

zhuklara [117]4 years ago
3 0
I believe it's 38-8i/2+1
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Angelo's mother put $50 on his lunch card. He spends the same amount
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Answer:

Given that Angelo spends the same amount every day from the amount in

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The constant rate of change of the function is; -5.25

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Reasons:

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A possible table of values to the question is presented as follows;

Required:

The constant rate of the function that gives the amount remaining from the

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Solution:

The two ordered pairs that can be used to find the slope or constant rate of change are;

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With the above two ordered pairs, we have the constant rate of change of the function given as follows;

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Step-by-step explanation:

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