Looking at this problem in terms of geometry makes it easier than trying to think of it algebraically.
If you want the largest possible x+y, it's equivalent to finding a rectangle with width x and length y that has the largest perimeter.
If you want the smallest possible x+y, it's equivalent to finding the rectangle with the smallest perimeter.
However, the area x*y must be constant and = 100.
We know that a square has the smallest perimeter to area ratio. This means that the smallest perimeter rectangle with area 100 is a square with side length 10. For this square, x+y = 20.
We also know that the further the rectangle stretches, the larger its perimeter to area ratio becomes. This means that a rectangle with side lengths 100 and 1 with an area of 100 has the largest perimeter. For this rectangle, x+y = 101.
So, the difference between the max and min values of x+y = 101 - 20 = 81.
Answer:
25
Step-by-step explanation:
<ABD=<BDC
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Answer:
Fractions are equal when one fraction can be obtained from the other.
Step-by-step explanation:
equality means a relationship between two quantities or, more generally two mathematical expressions, asserting that the quantities have the same value, or that the expressions represent the same mathematical object.
Answer:
The answer is A.
Step-by-step explanation:
A sample space is the list of all possible outcomes. Only answer A displays all of them. In B, 2 wins/loss combinations are not possible if you play three games. The same goes for C and 4 win/loss combinations. While D has some possible outcomes, it does not list them all.
