Given triangle cOW, with vertices C, O = (0, 0), and W = (6, 0), solve the following problems. a. If the orthocenter and circumcenter of this triangle are both (3, V3), then what are the exact coordinates (in reduced radicals, not decimals) of vertex C? b. (*you may now convert C to decimal form if you would prefer, rounding to 2 decimal places) Write 3 linear equations that contain all the perpendicular bisectors of triangle COW. Calculate the area of triangle COW.
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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