Given:
The pair of expressions in the options.
To find:
The two expressions are equivalent for any value of y.
Solution:
Two expressions are equivalent for any value of y, iff they are equivalent.
Clearly, is not equivalent to or . So, options A and B are incorrect.
The expression is not equivalent to . So, option C is incorrect.
The expression is equivalent to .
Therefore, the correct option is D.
The absolute value of a real number a is a when a≥0, or -a when a<0. The absolute value of -6 is 6. The absolute value of 4 is 4.
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You could answer this by rearranging the equation to make r the subject:
539 = π ×
× h
÷ πh
539 ÷ (π × h) =
√
√(539/π × h) = r
I hope this helps!
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