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kiruha [24]
4 years ago
11

Prove this conjecture

Mathematics
1 answer:
steposvetlana [31]4 years ago
7 0

Answer:

See explanation

Step-by-step explanation:

Consider the natural number n(n+1)(n+2).

If n is the natural number, then n+1, \ n+2 are next two natural numbers, so numbers n,\ n+1 and n+2 are three consecutive numbers.

Given three consecutive natural numbers, one of them is always even number and one of them is always multiple of 3, so the product

n(n+1)(n+2)

is divisible by 6.

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A circle’s standard form of an equation is:
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Plug in h and k immediately because that is something you automatically know. H and k are derived from the center of the circle. The center of the circle is (h,k). Don’t get tripped up though, your center of a circle has negative coordinates. When you have two negatives, they become positive.

So now you have:
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So figure out what the radius is. Use the distance formula to find out. You have a change of 5 from -4 to 1 in x. You have a change of 2 from 2 to 4 in y. Distance formula has the distance as the square root of x distance squared and y distance squared. That would mean that the distance/radius is equal to the square root of (25 + 4). 5 squared is 25 while 2 squared is 4.

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