You can find counterexamples to disprove this claim. We have positive integers that are perfect square numbers; when we take the square root of those numbers, we get an integer.
For example, the square root of 1 is 1, which is an integer. So if y = 1, then the denominator becomes an integer and thus we get a quotient of two integers (since x is also defined to be an integer), the definition of a rational number.
Example: x = 2, y = 1 ends up with
which is rational. This goes against the claim that
is always irrational for positive integers x and y.
Any integer y that is a perfect square will work to disprove this claim, e.g. y = 1, y = 4, y= 9, y = 16. So it is not always irrational.
Answer:
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Step-by-step explanation:
A. one solution
B 4(2x-5) = 4
2x-5 = 1
2x = 6
x=3
Answer:
the last choice
Step-by-step explanation:
two functions are said to be inverse when they are symmetric about the line y=x
Answer:
No, the polygons aren't similar since they don't have a constant scale factor.