Recent content by Cicnar

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    Vertex form of parabola; why x-h, not x+h?

    Oh, i see now! We can read more easily the desired information in this particular form (in this example, that is the coordinates of vertex). Makes perfect sense why this is the standard form now. Thank you very much, symbolipoint.
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    Vertex form of parabola; why x-h, not x+h?

    Thanks for your replies. But i think i was misunderstood. I will try to explain better this time. For example, a general equation of a line is y=ax+b. What is special about addition operation? Is just a matter of convention? Could i say "a general equation of a line is given by y=ax-b"? I see...
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    Vertex form of parabola; why x-h, not x+h?

    Hello. The vertex form is y= a(x-h)^2+k, in general. Could it also be defined as y= a(x+h)^2+k? I am wondering about that minus sign. I see no particular use of it. Is it there because of tradition or am i missing something?
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    Definition of additive inverse and operation of negation.

    Thank you Studiot, both for the kind words and the advice. Now, can anyone of you guys confirm this? Am i on the right track?
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    Definition of additive inverse and operation of negation.

    Thanks everyone for your effort. Jbriggs, i see a relation, but i can’t really comment that since my knowledge of computer science is next to none. Studiot, am i missing something here or is everything that you just said...wrong? Either way, this has nothing to do with what i asked. EDIT My...
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    Definition of additive inverse and operation of negation.

    So, real numbers x and -x are equally "worthy" in a symbolical sense, yes? For example, if i have some real world problem that is transcribed into a linear equation, i can denote my unknown quantity with a -x (rather than x) and solve it for -x (not x)? I am asking this because in K12 math, x...
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    Definition of additive inverse and operation of negation.

    Actually, I'm learning high school algebra. But the lack of rigor, if you wish, irritates me. Because of that i was trying to find more info on the internet and by doing so, I've stumbled upon such things like rings, group theory, etc. Now, i don't understand those, though i think i have some...
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    Definition of additive inverse and operation of negation.

    Hello everyone. I am slightly confused by these ideas so i would like your help. How is additive inverse defined? Is unary negation an operation in its own right just like those more familiar, like addition, multiplication? Or something else?
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    Weirdness of polynomial long division algorithm

    You said "most". That might be true, but not here. I have right in front of me a book which has introduced the division of natural numbers (and that's how i learned it). Not in a single example was there a divisor as a sum of two or more numbers. I know that 34 can be written as a sum, but its...
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    Weirdness of polynomial long division algorithm

    "Weirdness" of polynomial long division algorithm Hello. So, i just started to learn about the polynomial long division. As an introductory example, the book presents the long division of natural numbers, claiming that its basically the same thing. The example: 8096:23 Solution...
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    Why some repeating decimals have nonrepeating part? I think its blasphemy Help

    Thank you Deveno, i can see it more clearly now. I was becoming desperate, laughing hysterically, wanting to pull out my eyeballs (later on i have calmed myself... and pulled out someone elses :D). Anyway, i can see now, just as you explained, that i can decompose any denominator, for...
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    Why some repeating decimals have nonrepeating part? I think its blasphemy Help

    Thanks for your reply. See, i know that whenever we have some prime factor in the denominator aside from 2 and 5 then we will have a group of numerals repeating forever. Its the nature of primes (that is, consequence of their non-divisibility by anything aside from them self and 1) and it is...
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    Can Every Object Be Split Into 3 Equal Parts?

    You are able to split 60 cm equally because factoring 60 gives you 60=2x2x3x5, and dividing by 3 cancels out, leaving multiple of 2x2x5=20 as your answer, that is, pretty, whole number. If you try the same with 100 you have 100=2x2x5x5 dived by 3. Because your prime factorization of 100 clearly...
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    Why some repeating decimals have nonrepeating part? I think its blasphemy Help

    Why some repeating decimals have nonrepeating part? I think its blasphemy! :D Help! Question Example: Fraction 1/6 has a decimal notation of 0.1(6) Why do other primes in denominator, aside from 2 and 5, cause a nonrepeating part (numeral 1 in 0.1(6)) in decimal notation? Difficulty...
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