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Math Puzzles - Page 10
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lightman
United States731 Posts
34 - 10 24 - 10 16 - 7 8 - 5 4 - 4 | ||
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LordOfDabu
United States394 Posts
Four bugs (let's call them A, B, C, and D) occupy the corners of a square 10 inches on each side (A has the upper left, B has the upper right, C has the lower right, and D has the lower left). Simultaneously A crawls towards B, B towards C, C towards D, and D towards A. Assuming that all four crawl at the same constant rate, how far will each travel before they meet? | ||
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lightman
United States731 Posts
Consider the cuadratric equation ax2 -bx + c, with a,b,c natural numbers. Its roots are two real numberts between 0 and 1. Proove that a is greater or equal than 5 and b is equal or greater then 5. | ||
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LordOfDabu
United States394 Posts
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RaGe
Belgium9947 Posts
On June 18 2005 05:12 BigBalls wrote: lordofdabu is right zero is an integer, youre thinking of natural numbers malmis zero is a natural number | ||
Xeofreestyler
Belgium6772 Posts
Guess that hint was a bit too much eh? =) Some people get it right away others dont Took me very long --;; | ||
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Xeofreestyler
Belgium6772 Posts
1 3 11 67 | ||
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BigBalls
United States5354 Posts
http://mathworld.wolfram.com/NaturalNumber.html america doesnt include it (or at least every teacher and professor ive ever had doesnt), belgium might | ||
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BigBalls
United States5354 Posts
On June 19 2005 13:57 LordOfDabu wrote: Must the two roots be distinct? If not, a = 4, b = 4, c = 1 will yield an equation with a double root of x = 0.5, for 4x^2 - 4x + 1 = (2x - 1)(2x - 1) further, are the roots between 0 and 1 inclusive? cause if so, 1,2,1 yields 1,1 as roots | ||
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ReTr0[p.S]
Argentina1590 Posts
On June 19 2005 14:02 BigBalls wrote: http://mathworld.wolfram.com/NaturalNumber.html america doesnt include it (or at least every teacher and professor ive ever had doesnt), belgium might America is not a country | ||
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Catyoul
France2377 Posts
On June 18 2005 20:57 lightman wrote: (....) Please let me know if you have any questions Hmmmm I think we're not answering the same question, now coming back to your initial post, I guess I misunderstood you. The solution I gave is the total number of triangles of side p*L/n when you divide with (n-1) parallel lines, while you were only asking the total number of triangles. You can check pretty easily that my solution is correct and I think the problem I solved was harder than what you asked  | ||
Bill307
Canada9103 Posts
 . I'll try to explain it in pre-post-secondary education terms so that more people can understand it.On the planet Thassux, the natives have a peculiar way of expressing coordinates in two dimensions. Here on Earth, we frequently refer to points using cartesian coordinates, e.g. on a 2D graph, the point (5, 9) is 5 units to the right and 9 units up from the origin. On the planet Thassux, the point {5, 9} -- they like to use curly braces because they are harder to write -- is 5 units to the right and 9 units in an up+right direction at a 45 degree angle, again from the origin. Example: the point {1, 1} would translate to (1 + 1/sqrt(2), 1/sqrt(2)) in our coordinate system. Question: On the planet Thassux, given two points {a, b} and {c, d}, what is the distance between them? Recall that on Earth, the distance between two points (a, b) and (c, d) is given by the square root of (a - b)^2 + (c - d)^2. You can leave your answer in terms of binomials like "(a - c)": it doesn't get any simpler if you expand them out. Also, for people interested in more of a challenge, try going in the opposite direction: as you have seen, the formula on the planet Thassux is not particularly elegant. However, on the planet Mophux, the distance from a point {x, y} to the origin {0, 0} is given by the square root of x^2 + xy + y^2. Assuming that, like Thassux and Earth, the first coordinate is how many units you must move "to the right", describe how the coordinate system may work on Mophux. If you want, you can also come up with other solutions that ignore this assumption, which would be cool . | ||
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PaeZ
Mexico1627 Posts
I recon that zero is a natural number too | ||
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inkblot
United States1250 Posts
For Bill's first question: sqrt( ( ( (sqrt2)b/2 + a) - ( (sqrt2)d/2 + c) ) )squared + ( (sqrt2)b/2 - (sqrt2)d/2) )squared) I hope. | ||
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Sorrow_eyes
United States1007 Posts
On June 19 2005 13:10 LordOfDabu wrote: Here's another problem that I like: Four bugs (let's call them A, B, C, and D) occupy the corners of a square 10 inches on each side (A has the upper left, B has the upper right, C has the lower right, and D has the lower left). Simultaneously A crawls towards B, B towards C, C towards D, and D towards A. Assuming that all four crawl at the same constant rate, how far will each travel before they meet? 10 inchese ofcorse and yeah, this one is classic, my dad told me this. | ||
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Kimmural
Canada1111 Posts
On June 19 2005 21:36 Sorrow_eyes wrote: 10 inchese ofcorse and yeah, this one is classic, my dad told me this. Wouldn't they never meet? they are all moving the same distance in the same amount of time all moving in a Clockwise Position. EDIT: Sorry i was just reading the question wrong. | ||
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LordOfDabu
United States394 Posts
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PaeZ
Mexico1627 Posts
but nowdays most people refer to America = USA which is not true and is a mistake P.S im not flamming the US and no i dont hate the US and such so dont misunderstand my post | ||
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Sorrow_eyes
United States1007 Posts
On June 19 2005 22:12 LordOfDabu wrote: They will spiral towards the center of the square. pm me w/ ur Email addr for a UMS map on it :D | ||
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loloko2
Mexico433 Posts
On June 19 2005 23:18 PaeZ wrote: Im sorry i just cant help it, america IS A CONTINENT, that name comes from the explorer Americo Vespucio, who named it when they discovered it wasnt actually the Indias, and forgive me but USA is USA, America is all this part of the globe from Canada to Argentina, including the Caribbean and such but nowdays most people refer to America = USA which is not true and is a mistake P.S im not flamming the US and no i dont hate the US and such so dont misunderstand my post I totally agree with him, you cant argue that guys, imsorry, hes right... ^_^ | ||
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