69 Answered Questions for the topic Proof

04/06/16

Midsegment Practice
Consider the triangle with the vertices: A=(1,2) B=(-1,8) C=(7,10) a. find the midpoint M of Line Segment AB b. find the midpoint N of Line Segment AC c. Verify that Line Segment MN is parallel... more
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04/05/16

please help wit the problem below
Prove by induction that every n∈N, (1+√3)n+(1-√3)∈Z. I have an exam tonight and this was one of the practice problems I do not understand. PLEASE HELP! Thank you
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03/21/16

let n belong to N. if a,b,c,d belong to N and a congruent b (mod n) and a congruent d (mond n), prove ac congruent bd (mod n)
let n∈N. if a,b,c,d ∈ N and a≡b (mod n) and c≡d (mod n) prove that ac≡bd (mod n). Please, any help would be greatly appreciated. This is a study question on my study guide and I'm having difficulty.
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03/16/16

Suppose n,a,b belong to N. If the gcd of (n,a)=1 and the gcd(n,b)=1, prove the gcd of (n,ab)=1
I would really appreciate any help you can give me. I'm struggling a lot with this problem. Thank you!!
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03/15/16

Let n belong N. Define r:N2n --> N2n by r(x)= x+1 if x is odd, r(x)= x-1 if x is even. Prove that r is a bijection.
"N2n→ N2n" Just for clarification. Please help me! I have an exam I need to study for and my professor said something like this might show up on it. Thank you!
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03/08/16

Prove that the function f : Z ? N defined by f(x)=(|4x+1|+1)/2 is injective
PLEASE HELP
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03/08/16

Can someone help me Prove that the function f: Z-->N defined by((the absolute value of 4x+1)+1)/2 is an injective function
I'm really lost and need help to practice for my exam today. Thanks for the help in advance
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02/23/16

prove that a group of order 3 must be cyclic
formal proof needed
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01/25/16

Proof by contrapositive: If n is even, then 2(n) is also even.
The contrapositive would be: If 2(n) is odd, then n is odd.   What is wrong with my logic?  The first statement is obviously true, and the second one is obviously false.  I know it must be... more
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12/21/15

Please prove that cot A + cot B + cot C = (a^2 + b^2 + c^2)/(4(area of triangle ABC)).
I need help with this proof. Please help me. 
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Proof

12/06/15

proof this - think of a 1 digit number, and write that number down 3 times then divide the number with the sum of the 3 digits.The answer should be 37.
333/9=37 all numbers 1-9
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12/02/15

Show that the rectangle of a perimeter is always a square.
Show that the rectangle of a minimum perimeter for a given area A is always a square.
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11/03/15

proof for derivative
(f1+f2+f3+...)'=f1'+f2'+f3'+...
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04/20/15

Given the substitution, prove the integral is true
Given that u = Pi - x , prove that the integral from 0 to Pi of x*f(Sin(x)) dx is equal to (Pi/2) * the integral from 0 to Pi of f(Sin(x)) dx   I took the derivative of U and got du = 0-1dx,... more
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01/29/15

Show that 2!*4!*6! *...* (2n)! >= ((n+1)!)^n
Mathematical Induction   2!*4!*6! *...* (2n)! >= ((n+1)!)n     I'm new here. Thanks a lot for your helps and kindness
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07/23/14

Medians of a triangl
Medians AX and BY of Triangle ABC are perpendicular at point G. Prove that AB=CG.
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05/15/14

GEOMETRY - PROOF
How do I prove that three non-collinear points lie on a circle?
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01/28/14

Given rs congruent to tu rs perpendicular to st tu perpendicular to uv t is the midpoint of rv prove triangle rst congruent to triangle tuv
Triangle proof Given rs congruent to tu rs perpendicular to st tu perpendicular to uv t is the midpoint of rv prove triangle rst congruent to triangle tuv 
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Proof Limits

11/27/12

Prove that lim(n->infinity) (1/n) = 0. Make a proof with definition of limit.
Make a proof about definition of limit.
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