233 Answered Questions for the topic Proofs

Proofs

08/13/17

Well Ordering Principle Question
You are given a series of envelopes, respectively containing 1, 2, 4, , , , , 2m dollars.Definition:Property 1: For any nonnegative integer less than 2m+1 there is a selection of envelopes whose... more
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Proofs

08/13/17

Proving BIjection
Suppose thata + b + c = d;where a, b, c, d are nonnegative integers.Let P be the assertion that d is even. Let W be the assertion that exactly one amonga, b, c are even, and let T be the assertion... more
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07/13/17

how do you prove that the derivative of x^n is nx^n-1
how do you prove that the derivative of x^n is nx^n-1
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Proofs

05/30/17

given: line wy is perpendicular to line xz and angle w is congruent to andgle y prove: triangle xyz is congruent to triangle xyz
 I need help to find the proof 
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Proofs

05/08/17

Discrete math: proving by contradiction. . .
Prove by contradiction: If an integer n has the form 3K+1, then it does not have the form 9L+5.
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05/03/17

Find an example of a set A and functions f :A→A and g:A→A such that f◦g=idA but g ◦ f ̸= idA
Find an example of a set A and functions f :A→A and g:A→A such that f◦g=idA but  g ◦ f does not equal idA. I am not sure what idA means or an example for this
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03/22/17

How do I prove this statement? sin^-1(sin Ø) = Ø
I can't figure out how to prove that statement. Any help would be great. 
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Proofs

03/06/17

If both pairs of opposite sides of quadrilateral ABCD are congruent, prove that △ABC is congruent to △CDA
The picture is a quadrilateral with point A on the bottom left corner, point B on the bottom right corner, point D on the top left corner, point C on the top right corner, with a diagonal line from... more
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Proofs

03/02/17

I did half of this question but am stuck on the second part of it.(a) Prove that a divides bc+2 (b) Does a necessarily divide bc-2? Why?
2 Let a and b be integers such that a divides b+2 and a divides c-1.(a) Prove that a divides bc+2Let a, b and c be integers such that a divides b and a divides c. Let x and y be integers. Then... more
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02/06/17

Write a plan to prove that the midpoins of the sides of a rhombus determine a rectangle using coordinate geometry.
Full Question: The coordinates for a rhombus are given (2a, 0), (0, 2b), (-2a, 0), (0,-2b). Write a plan to prove that the midpoints of the sides of a rhombus determine a rectangle using... more
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12/06/16

Prove (x^5)+(e^x)=0 has at most 1 real root
I know to like assume that (x^5)+(e^x)=0 has two distinct roots and then find the contradiction. But am stuck.  
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11/28/16

Given: line WXY, m<WXZ = 135°. Prove: m<ZXY = 45°
Statements line WXY m<WXY = 180° m<WXZ = 135° m<WXY = m<WXZ + m<ZXY 180° = 135° + m<ZXY 45° = m<ZXY m<ZXY = 45°   Reasons  Given Defintion of supplementary... more
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11/27/16

Prove using a paragraph proof.
** Will need 3 steps.   If m<1 = 40° and m<2 = 50°, then the angles are complementary. 
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11/27/16

Prove using a paragraph proof.
Statements:  9 = 4x - 3(x - 2)  9 = 4x - 3x + 6  9 = x + 6  3 = x  x = 3   Reasons: Given          Proofs : Fill in the reasons (4) for the statements provided
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11/27/16

Given: m ⊥ l, n ⊥ l. Prove m || n
Statements: m ⊥ l, n ⊥ l <1 is a right angle <2 is a right angle <1 =~ <2 m || n    Reasons: Given           Proofs : Fill in the reasons (4) for the statements... more
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11/17/16

Given: AL = SK ; Prove: AS = LK
Could you prove and explain how you did it/ what properties you used.     A____L_________S____K    <---- Line Segment
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11/03/16

First solve the equation. Then, use that information to write the paragraph proof below. - Explain & Show Work
If a = 4, b = 3, solve for x. First solve the equation. Then, use that information to write the paragraph proof below.    9 = ax - b(x-2)    
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11/02/16

All Mixed Up: The proofs below are all mixed up. Rearrange either the statements or the reasons so the proofs make sense. - Explain & Show Work
Statementsa. PQ = RSb. QR = QRc. PQ + QR  = RS + QRd. PR = PQ + QR QS = QR + RSe. PR = QS Reasons a. Reflexive Property of Equalityb. Substitution Property of Equalityc. Givend. Addition Property... more
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11/02/16

All Mixed Up: The proofs below are all mixed up. Rearrange either the statements or the reasons so the proofs make sense. - Explain & Show Work
Statements a. 2x+5 = (1/2x)  + 8 b. 2(2x+5_ = 2(1/2x + 8) c. 4x+10 = x + 16 d. 3x + 10 = 16 e. 3x = 6 f. x = 2   Reasons   a. Distribitive property b. Subtraction Property of... more
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Proofs Geometry Proof

10/18/16

I need help with this proof!
Given: B is the midpoint of AC and DL    Prove: Triangle ADB and Triangle CLB are congruent
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Proofs Geometry

10/18/16

I need help solving this Geometry Proof!
Given: AD = CDDB bisects ACProve: Triangle ADB = Triangle CDB
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Proofs

10/13/16

Given: AG bisects CD, IJ bisects CE and BH bisects ED Prove: KE ? FD
I dont understand this and im currently dying
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10/13/16

Two-colmn Proof - Geometry - Please Help ASAP
This is supposed to be a two column proof. It has statements on one side and reasons on the other.   Given:Triangle ABC with angle C is right angle Prove:Angle A and angle B are... more
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10/10/16

Proof by induction
1 × 3 + 3 × 5 + 5 × 7 + . . . + (2n − 1)(2n + 1) = n(4n2 + 6n − 1)/3.      
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10/10/16

proof by induction
Use the method of proof by induction to show that (1+x+x2 +. . .+xn-1)(1−x) = (1−xn), for all positive integers n
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