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Dafna11 [192]
3 years ago
13

Please help and also explain how you got the answer if you can

Mathematics
1 answer:
lukranit [14]3 years ago
8 0
The answer is A and D

In answer choice A the fractions are 3/6 and 4/6. In the original equation in fractions are 1/2 and 2/3. The equivalent fraction to 1/2 is 3/6 because 1x3=3 and 2x3=6, therefore 3/6 is equivalent. The equivalent fraction to 2/3 is 4/6 because 2x2=4 and 3x3=6, therefore 4/6 is equivalent.


In answer choice D the fractions are 9/18 and 12/18. In the original equation in fractions are 1/2 and 2/3. The equivalent fraction to 1/2 is 9/18 because 1x9=9 and 2x9=18, therefore 9/18 is equivalent. The equivalent fraction to 2/3 is 12/18 because 2x6=12 and 3x6=18, therefore 12/18 is equivalent.

Hope this helps :D
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The answer is below

Step-by-step explanation:

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A=4(\sqrt{4-4y^2} )y\\\\A=4y\sqrt{4-4y^2}=4\sqrt{4y^2-4y^4}  \\\\The\ maximum\ area\ of\ the\ rectangle\ is\ at\ \frac{dA}{dy}=0\\\\  \frac{dA}{dy}=4(\frac{4-8y^2}{\sqrt{4-4y^2} } )\\\\4(\frac{4-8y^2}{\sqrt{4-4y^2} } )=0\\\\4-8y^2=0\\\\8y^2=4\\\\y^2=1/2\\\\y=\frac{1}{\sqrt{2} }\\\\x=\sqrt{4-4(\frac{1}{\sqrt{2} })^2}=\sqrt{2}

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