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nasty-shy [4]
3 years ago
15

Simplify

alt=" \frac{4}{2 + i} " align="absmiddle" class="latex-formula">

Mathematics
1 answer:
skad [1K]3 years ago
6 0
Hey! Apologies that I can’t make this look nice because I’m on mobile.

To simplify this, we can multiply the denominator by its conjugate. For a imaginary function (a+bi), its conjugate would be (a-bi), so we can apply that here to multiply both sides by (2-i)/(2-i). This works because it simplifies to one. Then, we have our fraction as 4*(2-i)/((2-i)(2+i))=(8-4i)/(4-i^2)=(8-4i)/5

Feel free to ask further questions, and have a great rest of your day!
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Whats the answer to these? (These are called Proper fractions.)
Darya [45]

Answer to the first question: 7/10ths of a mile

Explaination: When adding fractions, you need to have a common denominator. Since dividing 3/10 by 2 to get a denominator of 5 makes 3 a decimal, it's easier to multiply 2/5 by 2 to get a denominator of 10. You do the same to the top that you do to the bottom: \frac{2*2}{5*2} = \frac{4}{10}. From there, just add 4/10 and 3/10 to get the answer: 7/10ths of a mile.

Answer to the second question: Daniel read three (3/10) more books

Explaination: Since you can't evenly multiply 5 or 2 to get the opposite number, it's easier to multiply to the lowest common multiple. The easiest way to find that is to multiply both denominators (5*2=10). You'll have to multiply the numerator by the same amount you multipled the denominator by. For Daniel, that would mean: \frac{4*2}{5*2} = \frac{8}{10}. For Edgar, that would mean: \frac{1*5}{2*5} = \frac{5}{10}. So, Daniel read 3 more books than Edgar.

Answer to the third question: 2/4 mile (or 1/2 a mile)

Explaination: 2/8 can be simplified, by dividing the top and bottom by 2, resulting in 1/4. Since both fractions have the same denominator (/4), you can add them to get 2/4ths. This can be simplified further to half (1/2) a mile.

5 0
3 years ago
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ExtremeBDS [4]

Answer:

400 seconds

Step-by-step explanation:

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Can somebody help me with this problem .. I’ll really appreciate it .
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Answer:

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Answer:

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Step-by-step explanation:

When you have something like that, just think that the first number goes on top and the second number goes on bottom.

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so is the question right?

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