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#4326 2016-01-01 01:11:53
- Relentless
- Member
- Registered: 2015-12-15
- Posts: 631
Re: Oral puzzles
Hi!
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#4327 2016-01-01 02:27:21
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,421
Re: Oral puzzles
Hi Relentless,
The solution #2670 is correct! Neat work!
#2671. Find the centroid of the triangle whose vertices are A (4,-6), B (3,-2), and C (5,2).
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#4328 2016-01-01 06:13:52
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Oral puzzles
Hi;
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#4329 2016-01-01 15:57:41
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,421
Re: Oral puzzles
Hi bobbym,
The solution #2671 is correct! Good work!
#2672. Find the centroid of triangle whose vertices are (1,3), (2,7), and (12,-16).
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#4330 2016-01-01 19:24:06
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Oral puzzles
Hi;
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#4331 2016-01-01 20:16:11
- Relentless
- Member
- Registered: 2015-12-15
- Posts: 631
Re: Oral puzzles
Hi;
Oh, you just average them (:
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#4332 2016-01-01 23:14:45
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,421
Re: Oral puzzles
Hi bobbym and Relentless,
The solution #2672 is correct! Good work!
#2673. Using the section formula, show that the points A(1,0), B(5,3), C(2,7), and D (-2,4) are the vertices of a parallelogram taken in order. Find the mid-point AC / BD.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#4333 2016-01-02 05:45:43
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Oral puzzles
Hi;
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#4334 2016-01-02 17:25:02
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,421
Re: Oral puzzles
Hi bobbym,
#2674. Find the equation of the straight line passing through the points (-2,5) and (3,6).
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#4335 2016-01-02 17:31:59
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Oral puzzles
Hi;
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#4336 2016-01-02 18:25:01
- Relentless
- Member
- Registered: 2015-12-15
- Posts: 631
Re: Oral puzzles
Hey!
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#4337 2016-01-02 21:44:59
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,421
Re: Oral puzzles
Hi bobbym and Relentless,
The solution #2674 is correct! Neat work!
#2675. Form a quadratic equation whose roots are
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#4338 2016-01-03 04:33:49
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Oral puzzles
Hi;
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#4339 2016-01-03 04:51:01
- Relentless
- Member
- Registered: 2015-12-15
- Posts: 631
Re: Oral puzzles
Hi;
Won't there be infinitely many solutions to this? Perhaps it should be restricted to integer coefficients or something. Nevertheless, I am unfamiliar with the methods of answering this question.
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#4340 2016-01-03 05:06:08
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Oral puzzles
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
#4341 2016-01-03 15:01:38
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,421
Re: Oral puzzles
Hi bobbym and Relentless,
The solution #2675 is correct! Excellent, bobbym!
#2676. The base of a triangle is 4 cm longer than its altitude. If the area of the triangle is 48 square centimeters, find its base and altitude.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#4342 2016-01-03 15:10:51
- Relentless
- Member
- Registered: 2015-12-15
- Posts: 631
Re: Oral puzzles
Hi! (:
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#4343 2016-01-03 16:08:51
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Oral puzzles
Hi;
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
#4344 2016-01-04 16:36:42
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,421
Re: Oral puzzles
Hi Relentless and bobbym,
The solution #2676 is correct! Excellent!
#2677. A train covers a distance of 90 km at uniform speed. Had the speed been 15 km/hour more, it would have taken 30 minutes less for the journey. Find the original speed of the train.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#4345 2016-01-04 16:55:18
- Relentless
- Member
- Registered: 2015-12-15
- Posts: 631
Re: Oral puzzles
Hi! Another nice conceptual problem, ganesh (:
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#4346 2016-01-04 18:54:10
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Oral puzzles
Hi;
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
#4347 2016-01-05 17:35:27
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,421
Re: Oral puzzles
Hi Relentless and bobbym,
The solution #2677 is correct! Brilliant!
#2678. Find the coordinates of the point which divides the line segment joining (3,4) and (-6,2) in the ratio 3:2 externally.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#4348 2016-01-05 18:11:23
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Oral puzzles
Hi;
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#4349 2016-01-06 04:02:59
- Relentless
- Member
- Registered: 2015-12-15
- Posts: 631
Re: Oral puzzles
Hello!
I have only just learned this type of problem, but it seems technically true that there are two answers: Namely, one with a smaller (x,y) and one with a larger (x,y) than both points. Is this correct?
Last edited by Relentless (2016-01-06 04:09:27)
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#4350 2016-01-06 08:33:38
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Oral puzzles
Hi;
I am using a formula for these. It is guaranteed to find a solution, I do not know whether there are always 2 solutions.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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