Examine this set of pythagorean triples from part c. look for a pattern that is true for each triple regarding the difference between the three values that make up the triple.

describe this pattern. then see if you can think of another pythagorean triple that doesn’t follow the pattern you just described and that can’t be generated using the identity (x2 − 1)2 + (2x)2 = (x2 + 1)2. explain your findings.

x-value pythagorean triple
3 (6,8,10)
4 (8,15,17)
5 (10,24,26)
6 (12,35,37)

Step-by-step explanation:

The given formula gives rise to the above observations. it tells you ...

This is a special case of Euclid's formula ...

for n=1. Since m and n can be any integer values, there are certainly many other Pythagorean triples that do not match the formula given in the problem. Using n=2, for example, the triples are ...

Some triples from this set of formulas are (5, 12, 13), (20, 21, 29), (28, 45, 53), (36, 77, 85). Triples from this set of formulas will not match directly those from the formulas in the problem statement, but triples from both lists may reduce to the same primitive triple.

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explanation:

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?