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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.
A passenger jet took 3 hours to fly 1800 km in the direction of the jetstream. The return trip against the jetstream took four hours. What was the jet's speed in still air and the
In triangle ABC, cosecA(sinB.sinC+cosB.sinC) is equal to..?
What is a rational number?
2-3+=3+-4
How many 4 digit numbers can be formed using the numbers: 1 – 7. Repeated numbers CAN NOT be used
Write 3.5 × 104 in decimal notation? Move the decimal point 4 places to the right to get 35,000.
Three Dimensional geometry Intorduction In earlier classes we studied about the coordinates in two planes that is the XY plane. Here we are going to study in detail about th
Polar Coordinates Till this point we've dealt completely with the Cartesian (or Rectangular, or x-y) coordinate system. Though, as we will see, this is not all time the easie
Suppose S = {vi} and T = {ti} are "easy" sets of knapsak weight. Also, P and q are primes p > ?Si and q > ?ti. We can combine S and T into a signle set of knapsack weight as follow
a drawn picture on a graph that includes equations of each line
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