Grant is painting a rectangular board that has a width of foot. He has enough paint to cover 3 square feet. If he is able to cov
1 answer:
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Answer:
The answer is irrational
Step-by-step explanation:
we know that
The area of a square is given by the formula
where
b is the length side of the square
In this problem we have
substitute in the formula
take the square root both sides
simplify
Remember that
A <u><em>Rational Number</em></u> is a number that can be made by dividing two integers
so
The length side is not a integer
therefore
The answer is irrational
Answer:
Conjecture : 2xy / ( x + y ) ≤ √xy
Step-by-step explanation:
Harmonic mean of x and y = 2xy/( x + y )
<u>Formulate a conjecture about their relative sizes </u>
we will achieve this by computing harmonic and geometric means
Geometric mean = √xy
harmonic mean = 2xy/( x + y )
Conjecture : 2xy / ( x + y ) ≤ √xy
attached below is the proof
