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2022maldonadoleonel
07.12.2020 •
Mathematics
Graph the triangle with the given vertices and find the circumcenter of the triangle.
Q(3, 4), R(8, 4), S(3, −3)
The circumcenter of △QRS is
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Ответ:
Step-by-step explanation:
A direct proof is a method that takes an statement p, which we assume to be true, and use it to show directly that another statement q is true. So this method has the following steps:
Assume the statement p is trueUse what we know about p and other facts as necessary to deduce that another statement q is true, that is show p ⇒ q is true.Fact that we need to use:
Every odd integer can be written in the form 2m + 1 for some unique other integer m
Let p be the statement a and b be odd integers and q be the statement that the product of a and b is odd.
Proposition if a and b are odd, then the product of a and b is odd
Proof: Assume that a and b are odd integers, the by definition a = 2m + 1 and b = 2n + 1 for some integers m and n. we will now use this to show that the product of a and b is odd.
Hence we have shown that the product of a and b is odd since 2k + 1 is and odd integer. Therefore we have shown that p ⇒ q and so we have completed our proof.