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Dmitry [639]
3 years ago
9

I don’t understand what the rule is fit this and how to get it.

Mathematics
1 answer:
Rina8888 [55]3 years ago
3 0
It’s like some type of math form or sum
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What is the completely simplified equivalent of 2/(5+i)?
Bezzdna [24]

namely, let's rationalize the denominator in the fraction, for which case we'll be using the <u>conjugate</u> of that denominator, so we'll multiply top and bottom by its <u>conjugate</u>.

so the denominator is 5 + i, simply enough, its conjugate is just 5 - i, recall that same/same = 1, thus (5-i)/(5-i) = 1, and any expression multiplied by 1 is just itself, so we're not really changing the fraction per se.

\bf \cfrac{2}{5+i}\cdot \cfrac{5-i}{5-i}\implies \cfrac{2(5-i)}{\stackrel{\textit{difference of squares}}{(5+i)(5-i)}}\implies \cfrac{2(5-i)}{\stackrel{\textit{recall }i^2=-1}{5^2-i^2}}\implies \cfrac{2(5-i)}{25-(-1)} \\\\\\ \cfrac{2(5-i)}{25+1}\implies \cfrac{2(5-i)}{26}\implies \cfrac{5-i}{13}

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3 years ago
Yin is making a map of his town. On the map, the distance between the sporting goods store and the market is 4 inches. The actua
Anestetic [448]
Since 5 miles is equaled to 4 inches multiply the 8 miles by 4/5 to get 6 2/5
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3 years ago
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HELP ASAP !! Select the correct answer from each drop-down menu.
Sindrei [870]

Point A' is at (-2,-2)

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Plz help..................refresh page before u answer
skelet666 [1.2K]
-4 is the x-intercept for your equation
6 0
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A sandwich costs 5:70 and a piece of fruit costs 2:15 if you have a 20 bill, how much change will you get ?
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Well if you buy only 1 of each, it would cost you 7.85 in total. if you subtract that from 20, it equals 12.15.
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5.7f+2.15f=20
7 0
3 years ago
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