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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).
Find the distance between the points (b + c, c + a) and (c + a, a + b) . Ans : Use distance formula
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The law of cosines can only be applied to acute triangles. Is this true or false?
Download the data on Gas Mileage. This is a sample of 81 passenger cars with information about gas consumption and other technical details. a. Estimate the following
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