Write an equation using four numbers that multiply to 0, neither of which are opposites.
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Answer:
Step-by-step explanation:
<u><em>Part B:</em></u>
The center of the circumscribed circle around a triangle is equidistant from vertices of that triangle. To find the circumcenter need to draw at least two perpendicular bisectors to the sides of the given triangle. Point of intersect of them is center of the circumscribed circle.
<u><em>Part C:</em></u>
Coordinates of the midpoint of line BC ( y = - 1 ) are
( ,
) = <em>( - 2 , - 1 )</em> and the equation of the line ⊥ to BC is <em>x = - 2</em>
Because BC is ║ to x-axis and m∠A is 90° , the center of the circle is midpoint of BC and r = = 4
Recall Euler's theorem: if , then
where is Euler's totient function.
We have - in fact,
for any
since
and
share no common divisors - as well as
.
Now,
where the are positive integer coefficients from the binomial expansion. By Euler's theorem,
so that