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Serjik [45]
3 years ago
15

If xy = 1 what is the arithmetic mean of x and y in terms of y? Please show work as detailed as possible

Mathematics
1 answer:
Arisa [49]3 years ago
3 0

Answer:

(1+y^2) /2y

Step-by-step explanation:

arithmetic mean is the average of x and y

(x+y)/2

Using the equation

xy = 1

and solving for x

x = 1/y

Replacing x in the first equation

(1/y + y) /2

Multiply by y/y

(1/y + y) /2 * y/y

(1/y + y)*y /2y

(1+y^2) /2y

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I hope this answer helped you! If you have any further questions or concerns, feel free to ask! :)
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