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1. Show that there do not exist integers x and y for which 110x + 315y = 12.
2. If a and b are odd integers, prove that a2 +b2 is divisible by 2 but is NOT divisible by 4. Hint:
Any odd number can be written 2k + 1 for some integer k.
3. Prove that for any prime number p, √ p is irrational. Hint: Follow the same method that was used to prove √ 2 is irrational, by first supposing √ p can be expressed as a=b.
Temperature: On one day in Fairfield, Montana the temperature dropped 80 degree fahrenheit from noon to midnight. If the temperature at midnight was -21 degree fahrenheit, write an
how can I compare fractions with unlike denominators?
without using a calculator how would you know is cos theta(20) is greater than cos theta (35)
Lucas purchased his motorcycle for $5,875.98 and sold it for $7,777.77. What was his profit? To ?nd out the pro?t, you must subtract what Lucas paid for the motorcycle from the
10p=100
What are the other differences between learners that a teacher needs to keep in mind, while teaching? Let us see an example in which a teacher took the pupil's background into acc
Find the x and y intercepts for the following equations: 3y=3x -y=-x-4 2x+3y=6 y=5
Find the 14th term in the arithmetic sequence. 60, 68, 76, 84, 92
what is the unit rate of $112 in 8 hours
The distance from the earth to the moon is approximately 240,000 miles. What is this distance expressed in scientific notation? To convert to scienti?c notation, place a decima
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