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85 articles trouvés pour ce sujet.

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	A/B = C/D		2002-03-06
		Un eleve pose la question : Démontrer que si A sur B et = à C sur D, alors AxD et = à BxC. Claude tardin lui répond.
	An analytic proof that a quadrilateral is a parallelogram		2020-10-26
		Apollo pose la question : Prove analytically that if ABCD is a parallelogram in which points P and Q trisects the diagonal AC, then BPDQ is a parallelogram. Penny Nom lui répond.
	Proof that an erroneous algebraic statement is false		2015-12-14
		Berteanu pose la question : I need help with this proposition: "It exists x a real number that for every y real number 5*x-2*y*y=1 This is false. Let x be from R. And I need an y real number that 5*x-2*y*y!=1 Please,could you help me? Penny Nom lui répond.
	Prove that you cannot factor x squared + 5		2015-05-28
		lily pose la question : the question is: prove that you cannot factor x squared + 5 Robert Dawson lui répond.
	We can't write sinx and cosx as a finite polynomial.		2013-03-31
		rimoshika pose la question : prove that we can't write sinx and cosx as a finite polynomial. Walter Whiteley lui répond.
	If n is odd, then n^2 - 3 is even		2012-12-11
		Tracy pose la question : Prove the statement: For all integers n, if n is odd, then n2 - 3 is even. Penny Nom lui répond.
	1 + 3 + 3^2 ...+3^(n-1) = 3^n - 1/2		2012-01-27
		Vicki pose la question : I am trying to find out how to do show how this proof was worked. Here is the end result 1 + 3 + 3^2 ...+3^(n-1) = 3^n - 1/2 This equation was used to find the number of white triangles in the Sierpinski Triangle Walter Whiteley lui répond.
	Prove sin x = sin (pi - x)		2011-02-15
		Janet pose la question : Prove sin x = sin (pi - x) Penny Nom lui répond.
	If ac = bc ...		2011-01-04
		jamielle pose la question : if ac=bc, then a is not equal to b, c is not equal to zero Penny Nom lui répond.
	Prove A intersect B =X iff A = X and B = X		2010-03-06
		Gloria pose la question : how would you prove A intersect B =X iff A = X and B = X Tyler Wood lui répond.
	A proof by induction		2010-01-12
		Bhavya pose la question : Prove by induction that if Xi >= 0 for all i, then (Summation Xi from 1 to n)^2 >= Summation Xi^2 from 1 to n Penny Nom lui répond.
	A proof involving real numbers		2010-01-11
		Amper pose la question : Let a,b is an element of real numbers, and suppose that for every x>0 we have a is lesser than or equal to b+x. (a) Show that a is lesser than or equal to b. (b) Show that it does not follow that a is lesser than b. i'm feeling bad of having no idea with this, hope i you can help me. GRACIAS!! Penny Nom lui répond.
	Proof that the root of 27 is irrational		2009-10-18
		Scarlet pose la question : How do you prove that the square root of 27 is irrational? Victoria West lui répond.
	Prove by induction		2009-10-02
		Anonymous pose la question : How can you prove the following by induction: Any fraction (A / B), where 0 < (A / B) < 1, can be expressed as a finite sum (1 / c(1)) + (1 / c(2)) + (1 / c(3)) + ... + (1 / c(k)), where c(1), c(2), ..., c(k) are natural numbers greater than 0. [ex. (20 / 99) = (1 / 9) + (1 / 11)] Claude Tardif lui répond.
	Highest Common Factor of Two Polynomials		2009-07-28
		Nazrul pose la question : If x+a be the h.c.f. of x^2+px+q and x^2+mx+n, how can I prove that (p-m)a=q-n. Robert J. Dawson & Janice Cotcher lui répond.
	Inequalities Proof		2009-07-24
		ABOU pose la question : good morning.......a b c are real positive no zero......proof that sq root(2a/(a+b))+sq root(2b/(b+c))+sq root(2c/(c+a))inferior or equal 3 thank you Janice Cotcher lui répond.
	Properties of Natural Numbers		2009-07-24
		nazrul pose la question : If m,n,k are natural number how can I prove that (m+n)k=mk+nk. In the proof the properties of natural number should be used. Janice Cotcher lui répond.
	Proof of a Unique Solution		2009-07-24
		muele pose la question : Find matrix A such that A is not invertible, and b such that Ax=b has a unique solution Robert J. Dawson lui répond.
	Prove that the set of all positive odd integers is an infinite set		2009-06-20
		Nazrul pose la question : How can I prove that the set of all positive odd integers is an infinite set. Thank you in advance. Victoria West lui répond.
	The product of gradients between 2 perpendiculars lines		2009-06-11
		Alister pose la question : how do i prove that the product of gradients between 2 perpendiculars lines equal to -1.... Penny Nom lui répond.
	The sides of a parallelogram		2009-03-17
		Sami pose la question : If ABCD is a parallelogram, prove that line AB is congruent to line CD. Clearly state your reasons and conjectures. Penny Nom lui répond.
	The midpoints of two sides of a triangle		2009-03-17
		Manis pose la question : Prove that the line joining the midpoint of two sides of a triangle is parallel to the third and half of it. Robert Dawson lui répond.
	Mathematical induction		2008-09-05
		James pose la question : I need to prove a problem by induction regarding the Triangle Inequality. The problem is abs(a1 + a2 +...+an) <= abs(a1) + abs(a2) +...+ abs(an). Victoria West lui répond.
	Proofs		2008-07-26
		Taylor pose la question : when doing a proof, how do i figure out the steps in which i find the statements? i find the reasons pretty easily but i do not understand how to get the proving part. that would be great if you can help me! Thanks Victoria West lui répond.
	Four Positive Integers		2008-07-20
		william pose la question : let a, b, c and n be positive integers. If a+b+c=(19)(97) and a+n=b-n=c/n, compute the value of a. Janice Cotcher lui répond.
	A proof in geometry		2008-02-27
		Kimberly pose la question : I'm trying to write a proof for the following: If all altitudes are equal in an equilateral triangle then all sides are equal. Stephen La Rocque and Penny Nom lui répond.
	A parallelogram and a rhombus		2008-01-22
		miguel pose la question : i have a problem proving a parallelogram a rhombus.. if a diagonal of a parallelogram bisects an angle of the parallelogram , then its a rhombus prove Stephen La Rocque and Walter Whiteley lui répond.
	A geometric proof		2007-11-16
		Julie pose la question : Prove that tangents to a circle at the endpoints of a diameter are parallel. State what is given, what is to be proved, and your plan of proof. Then write a two-column proof. Walter Whiteley lui répond.
	Prove that any two consecutive integers are relativley prime.		2007-09-18
		Michael pose la question : Im not very good at proofs and I was wandering if you would be able to help me with the following question: Prove that any two consecutive integers is relativley prime. Thanks a million. Penny Nom lui répond.
	Two-column proof for a circle geometry problem		2007-08-24
		Kendra pose la question : i have to prove that tangents to a circle at the endpoints of a diatmeter are parallel by stating whats given, whats to prove and a plane, then write a two column proof i dont understand this Stephen La Rocque lui répond.
	Induction - divisibility		2007-08-04
		Jerry pose la question : How would you prove that for any positive integer n, the value of the expression 3^(2n+2) - 8n -9 is divisible by 64. Chris Fisher and Penny Nom lui répond.
	Proving a quadrilateral is a rectangle		2007-07-14
		Sonja pose la question : I was having this discussion with another teacher and we need a third opinion. When you are trying to prove a quadrilateral is a rectangle which method should you use: Prove the shape is a parallelogram by doing slope 4 times by stating that parallel lines have equal slopes. Then proving a right angle by stating that perpendicular lines have negative reciprocal slopes. Doing the slope 4 times and stating that the shape is a rectangle because opposite sides are parallel because of equal slopes and it contains a right angle because of negative reciprocal slopes. I guess the real question is do you have to first state that the shape is a parallelogram? Stephen La Rocque lui répond.
	Grams of vodka		2007-07-10
		Andrew pose la question : milliliters to grams..vodka 80 proof? Stephen La Rocque lui répond.
	Proof that any side of a triangle is less than half the perimeter.		2007-07-07
		Omkar pose la question : Any side of a triangle is smaller than half of its perimeter, prove this in short ? Stephen La Rocque lui répond.
	Area of an isosceles triangle		2007-06-01
		Josh pose la question : In a previous question answered by Sue regarding the area of a regular polygon you gave a formula for the area of an isosceles. My question is how did you get this formula? Can you please explain to mean the process that you used to get that formula? Thanks Stephen La Rocque lui répond.
	Are proofs important in geometry?		2007-05-07
		BJ pose la question : Are proofs very important to know how to do? My daughter has been in Geometry & the teacher skipped proofs. Penny Nom lui répond.
	An even positive integer cubed minus four times the number		2007-02-07
		Rachael pose la question : I can't figure out the proof or the method to get the proof for this question: any even positive integer cubed minus four times the number is divisible by 48 Haley Ess and Penny Nom lui répond.
	cos(n)pi = (-1)^n		2006-12-14
		Idrees pose la question : How can I prove the following: cos(n)pi = (-1)^n Steve La Rocque lui répond.
	A proof by induction		2006-10-02
		Zamira pose la question : i'm studying induction but i don't get how to proof that 1+2+2^2+2^3+...+2^(n-1) = (2^n) - 1. Penny Nom lui répond.
	Prove that 2nCn is less than 4n, for all positive integers n?		2006-10-01
		Anna pose la question : How can I prove that 2nCn is less than 4n, for all positive integers n? Penny Nom lui répond.
	Proof by induction		2006-04-24
		Meshaal pose la question : Find an expression for: 1-3+5 - 7 + 9 - 11 + ... + (-1)^(n-1) * (2n-1) and prove that it is correct. Stephen La Rocque lui répond.
	Geometry proof		2006-04-23
		Jade pose la question : From a point P outside a circle with centre O, tangents are drawn to meet the circle at A and B. a) Prove that PO is the right bisector of the chord AB. b) Prove that Stephen La Rocque lui répond.
	Proving a summation formula by induction		2006-04-19
		Sharon pose la question : Prove by induction that the sum of all values 2^i from i=1 to n equals 2^(n+1) - 2 for n > 1. Stephen La Rocque lui répond.
	A proof by induction		2006-04-09
		Sharon pose la question : prove by induction: For every n>1, show that 2 + 7 + 12 + ...+ (5n-3) = n(5n-1)/2 Penny Nom lui répond.
	given that p is a prime and p|a^n, prove that p^n|a^n		2006-03-24
		Janna pose la question : given that p is a prime and p|an, prove that pn|an Stephen La Rocque lui répond.
	A proof by contraposition		2006-03-16
		Eban pose la question : 1)by mathematical induction prove that 12 + 32 + 52 + ...... + (2k-1)2 = (1/3)k(2k-1)(2k+1) for all positive integers k. 2)show that the contrapositive of the following statement is true. if 1 + M7 is even, then M is odd. Stephen La Rocque lui répond.
	Proof by induction		2006-02-10
		Victoria pose la question : how do i prove by induction on n that n Σ 1/i(i+1) = n/(n+1) i=1 for all positive integers n Penny Nom lui répond.
	Prove that p^n >= (p!)/(p-n)!		2006-02-02
		Rhydian pose la question : PROVE: pn >= (p!)/(p-n)! Penny Nom lui répond.
	The sum of the angels in a triangle		2005-11-25
		Rachel pose la question : how do you prove, without knowing any of the measurements or degrees, that the three angles of a triangle equal 180? what are the steps for proving that? Penny Nom lui répond.
	An isosceles triangle		2005-11-14
		Chris pose la question : PX and QY are attitudes of acute triangle PQR, and Z is the midpoint of PQ. Can you write a proof that triangle XYZ is isosceles? Chri Fisher lui répond.
	Prove that a rhombus' diagonals are perpendicular		2005-10-02
		Tania pose la question : How do you prove that a rhombus' diagonals are perpendicular using the 2 column proof method? Walter Whiteley lui répond.
	Proof by induction?		2005-08-10
		Peter pose la question : I am a lecturer and am having a problem with the following Proof by Induction. If (N x N x N x N) + (4 x N x N x N) + (3 x N x N) + (N) = -4000 Prove that N is even! Chris Fisher and Penny Nom lui répond.
	A flaw in a problem		2005-04-15
		Bryce pose la question : Question: (x2-x2) = (x2-x2) x(x-x) = (x+x)(x-x) [divide both sides by (x-x)] x = x + x x = 2x [divide both sides by x] 2 = x/x = 1 Where is the flaw in this problem? Paul Betts lui répond.
	An isosceles triangle		2005-01-03
		Abraham pose la question : The question is,"Triangle ABC is not isosceles.Prove that if altitude BD were drawn, it would not bisect AC."My question is If an altitude is drawn wouldn\'t that mean automatically its isosceles because, In a triangle the sides opposite congruent angles(in this case the right angles)are congruent? What am I thinking wrong? Harley Weston lui répond.
	A geometric proof		2004-12-11
		Hanna pose la question : Given: ABCD is a quadrilateral; Prove: ABCD is a parallelogram Penny Nom lui répond.
	Proof by induction		2004-11-20
		Vic pose la question : Problem: Find the first 4 terms and the nth term of the infinite sequence defined recursively as follows: a(1) = 3 and a(k+1) = 2a(k) for k -> 1. Note: Quantities in brackets are subscripts -> means 'equal to or greater than'. Using the recursive formula, the first 4 terms are; a(1) = 3, a(2) = 6, a(3) = 12, a(4) = 24 The nth term a(n) = 2n-1 x 3 (equation 1) Equation 1 must be proven using mathematical induction. This is where I am having a problem. Penny Nom lui répond.
	A theorem involving a trapezoid		2004-09-29
		Abraham pose la question : Given:Trapezoid ROSE with diagonals RS and EO intersecting at point M Prove:Diagonals RS and EO do not bisect each other. Harley Weston lui répond.
	A proof in geometry		2004-07-16
		An pose la question : Im taking a geometry course for the summer , and we just started to learn about proofs for about one week. Today in class, we started to do this one proof but didnt finish it because class ended. the problem is as follows. Penny Nom lui répond.
	n! > n^2		2004-03-30
		Jose pose la question : How can you prove by mathematical induction that: n! > n2. Penny Nom lui répond.
	Proof by induction		2004-03-02
		Chris pose la question : I need some help of how to solve the problem "use the principle of mathematical induction to prove that the following are true for all positive integers" cos(n x pi + X) = (-1)^n cosX any help would be appreciated Penny Nom lui répond.
	Three proffs of a trig identity		2003-03-18
		Nadene pose la question : Prove the identity. cos [x + (y-pi/2)] = sin (x+y) A hint was also provided which is: "Apply cos (alpha + beta) first then within that apply cose (alpha-beta)" Penny Nom lui répond.
	Proof by induction		2002-09-26
		Pooh pose la question : Use induction to show that 1 2 + 2 2 + .....+n 2 = (n 3)/3 + (n 2)/2 + n/6 Paul Betts lui répond.
	Proof by induction		2002-08-31
		Tabius pose la question : Use mathematical induction to prove that the following formulae are true for all positive integers: a) 1 + 3 + 5+...+(2n - 1) = n 2 b) 2 n > n. Penny Nom lui répond.
	Proof by induction		2002-02-20
		Tamaswati pose la question : How do I prove the assertion that "the determinant of an upper triangular matrix is the product of the diagonal entries" by mathematical induction? (Before I check this assertion for a few values of n how do I rephrase the assertion slightly so that n appears explicitly in the assertion?) Penny Nom lui répond.
	Proof by induction		2001-10-16
		John pose la question : Can you help me with any of these? For any natural number n > 1, prove that (4n) / (n + 1) < [(2n)!] / [(n!)2]. For any natural number n > 1, prove that 1/sqrt(1) + 1/sqrt(2) + 1/sqrt(3) + ... + 1/sqrt(n) > sqrt(n). For any natural number n and any x > 0, prove that xn + xn - 2 + xn - 4 + ... + x-n >= n + 1. Penny Nom lui répond.
	Proof by induction		2001-09-30
		Kyle pose la question : I'm trying to learn induction and I need to see how this done please help with this problem... 20 + 21 + 22 +... + 2n = 2n+1 -1 is true whenever n is a positive integer. Penny Nom lui répond.
	e^pi > pi^e		2001-07-27
		Dusty pose la question : What book(s) contain a proof that ePi > Pie? I think it might be in Problems in Analysis published by Springer-Verlag but I have not been able to check. Chris Fisher lui répond.
	Harmonic numbers		2001-05-23
		Leslie pose la question : The harmonic numbers Hk, k = 1,2,3.....are defined by Hk = 1 + 1/2 + 1/3....1/k I am trying to prove by mathematical induction: H2n >= 1 + n/2 , whenever n is a nonnegative integer. H8 = H23 >= 1 + 3/2 Can you help? Harley Weston lui répond.
	A sequence of even terms		2001-04-29
		A student pose la question : A sequence c is defined recursively as follows: c0 = 2 c1 = 4 c2 = 6 ck= 5ck-3 for all integers Prove that cn is even for all integers. Leeanne Boehm and Penny Nom lui répond.
	A geometry proof		2001-04-18
		Melissa pose la question : Extend the bisectors of angle A, angle B, and angle C of triangle ABC to meet the circumcircle at points X, Y, and Z respectively. Show that I is the orthocenter of triangle XYZ. Chris Fisher lui répond.
	How can you prove a quadrilateral to be a parallelogram?		2001-03-16
		Joy pose la question : How can you prove a quadrilateral to be a parallelogram? Walter Whiteley lui répond.
	1 + 1 = 1		2001-01-23
		Stephanie pose la question : My friend has this as a bonus question the other day and I want to figure it out. I don't know how 1+1 in any form could equal 1. Please let me know how you come about geting that. Claude Tardif lui répond.
	A proof that 1=2		2000-09-19
		sporky pose la question : Why does the proof for 1=2 not work? x = 1 x2 = 1 x = x2 1 = 2x (derivitive) 1 = 2(1) 1 = 2 ??? please tell me where the false logic is. Walter Whiteley lui répond.
	Induction		2000-09-07
		Joe Peterson pose la question : How do I prove by the principal of mathematical induction? 1.n+2.(n-1)+3.(n-2)+.....+(n-2).3+(n-1).2+n.1=(n(n+1)(n+2))/6 Paul Betts lui répond.
	Parallel tangents		2000-06-30
		Ebony Indalecio pose la question : I need to prove the theroem: Tangents to a circle at the end points of a diameter are parallel. Walter Whiteley lui répond.
	The square root of 3		2000-04-04
		Mr. William pose la question : Prove that root 3 is irrational Harley Weston lui répond.
	Induction		2000-03-16
		William Tsang pose la question : I am trying to prove a induction question Sigam r=1 n (2r -1)cube = n square (2 n square - 1) Harley Weston lui répond.
	The quotient rule		2000-02-21
		Charlene Anderson pose la question : Question: I came across a question in our book that states: Let Q(x) = N(x) / D(x) Then re-write Q(x) in a form that can utilize the Power and Product Rules. Use this rearranged form to derive the Quotient Rule. The Quotient Rule can be derived from the Power Rule and the Product Rule. One must also use the chain rule too, right? Harley Weston lui répond.
	2 = 1		2000-02-16
		Chuck Kennedy pose la question : Question: Assume a=b Multiply both sides by a, a2=ab Subtract b2, a2-b2=ab-b2 Factor (a-b)(a+b)=b(a-b) Cancel like factors a+b=b Substitue b for a b+b=b Then 2b=b Therefore 2=1 Question; Were is the mistake? Claude Tardif lui répond.
	Two algebra problems		1999-12-17
		Michael Standfest pose la question : If x+4 is a factor of 2x4+kx3-3kx2+6x-40, find k and Prove that n2-n is even for all n, using the proof of contradiction Penny Nom lui répond.
	An Invalid Argument		1999-05-31
		Rod Redding pose la question : Can an invalid argument have a true conclusion? If yes then why? Walter Whiteley lui répond.
	A		1999-05-02
		Leah pose la question : a=b a^2=ab a^2+b^2=ab-b^2 (a-b)(a+b)=b(a-b) a+b=b b 2=1 why is this proof wrong? Penny Nom lui répond.
	Root 17 is Irrational		1999-01-21
		John Murdock pose la question : If you could help me out with this I would appreciate it. Prove that the square root of 17 is irrational. Harley Weston lui répond.
	Proofs		1997-04-13
		Daniel pose la question : I'm having trouble understanding proofs. I don't know how to come up the answers on my own. I search through the book looking for the answer. I understand what they are doing, but I don't know how to do it. Walter Whiteley lui répond.
	A Presidential Proof		1997-03-18
		Greg Smith pose la question : Which US president developed a proof for the Pythagorean Theorem? Where can a copy of the proof be located? Chris Fisher and Harley Weston lui répond.

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