Why are all 4-digit Fredholl numbers composite?
1 answer:
Fredholl numbers are number, which have 2 different digits, equal number of each one, and zero cannot be the first digit. Some examples of fredholl numbers are: 355533 and 4141.
233233, 535351 or 055050 are not fredholl numbers.
In case of 4 digit numbers let's look at the possible forms of Fredholl numbers:
They have to be one of the following: xxyy, xyxy, xyyx
We can write above numbers as:
All 4-digit Fredholl numbers are composite because they will be divisible by either 11 or 101.
233233, 535351 or 055050 are not fredholl numbers.
In case of 4 digit numbers let's look at the possible forms of Fredholl numbers:
They have to be one of the following: xxyy, xyxy, xyyx
We can write above numbers as:
All 4-digit Fredholl numbers are composite because they will be divisible by either 11 or 101.
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The ratio has a total of 2+3=5 units, of which 2 correspond to the length of segment AM. The difference of x-coordinates Bx-Ax = 20-0 = 20. 2/5 of that amount is (2/5)*20 = 8, so the x-coordinate of M is
Mx = 8 + Ax = 8 + 0 = 8
The difference of y-coordinates is 0 - 15 = -15. 2/5 of that amount is (2/5)*(-15) = -6, so the y-coordinate of M is
... My = -6 + Ay = -6 + 15 = 9
The point M is (Mx, My) = (8, 9).
I give u the answers of first and second one.
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