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
Answer:
see explanation
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x + 4)² + (y + 6)² = 16 is in this form
with r² = 16 ⇒ r = = 4
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given (h, k) = (5, 2) and r = 20, then
(x - 5)² + (y - 2)² = 400 ← represents the delivery area