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Let a, b, c 2 Z+.
(a) Prove that if a|b, then ac|bc for all c.
(b) If a|bc, can you conclude that either a|b or a|c? Justify your answer with a proof or a counter example.
(c) Prove that gcd(a, a + b) = gcd(a, b).
How do you find the perimeter of an irregular shape using Pythagorean theorem?
Arc Length with Vector Functions In this part we will recast an old formula into terms of vector functions. We wish to find out the length of a vector function, r → (t) =
multiply (1/2+1/2i) ten times
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let setM={X,2X,4X} for any numberX .if average (arthemetic mean)of the number in setM is 14.what is the value of X?
If r per annum is the rate at which the principal A is compounded annually, then at the end of k years, the money due is Q = A (1 + r) k Suppose
With a compass draw the arc associated with a 720° angle, it looks like a circle. With a protractor, label the angle in multiples of 45° and 30° up to 720°. Notice 30° and 390° ar
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