69 Answered Questions for the topic Proof

Proof

09/12/17

Prove that if n is any integer. Then either 3 |n or 3| ((n^2)-1)
Case proof
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09/10/17

How do I prove that ax+by+cx=dx+ey?
x,y,z ∈ ℝ3   and  x+y+3z=0   How do I prove ax+by+cz=dx+ey, if d and e are real numbers chosen to fit the equation? Thank you very much if you can help me! 
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Proof

05/01/17

How to solve a prrof
Given: Segment AB is parallel to segment CD Prove: Arc of mAC = arc of mBD Please help!
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03/17/17

Quadrilateral ARMY with A(p,q) R(0,0) M(r,0) and Y(p+r, q). Prove: ARMY is a parallelogram
It can't be in a graph and has to be in the statement-reason format. I'll need the equations used as well
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Proof Geometry

02/12/17

The segment joining the midpoints of two consecutive sides of a rhombus is perpendicular to the diagonal
This is a proof I am trying to do in Geometry and I just can't solve it! Please help!
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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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Proof Calculus

12/06/16

Prove (x^5)+(e^x)=0 has at most 1 real root
I know to suppose (x^5)+(e^x)=0 has two distinct roots. f(a)=f(b)=0 with a/=b , there exists a c E(a,b). Now I 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.
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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11/12/16

Mathematical Analysis
Show that if A ⊃ B then inf A ≤ inf B ≤ supB supA. Use this to show that, if A1 ⊃ A2 ⊃ · · ·, then inf A1 ≤ inf A2 ≤ · · · ≤ inf An ≤ · · · ≤≤ supAn ≤ · · · ≤ supA2 ≤ supA1.Use this to show that... more
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10/26/16

Prove that (2n-3)^2 - (2n+3)^2 is a multiple of 8 for all positive integer values of n.
This is the supposed way of working it out: Expand: (2n+3)^2 - (2n-3)^2 (2n+3)(2n+3) - (2n-3)(2n-3) (4n^2+6n+6n+9) - (2n^2-6n-6n+9) 4n^2+6n+6n+9-2n^2-6n-6n+9 Then simplify to... more
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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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10/12/16

Geometry Problem: Proof Using Two Columns (PLEASE HELP ASAP)
Can you help me create a two column proof using the problem with reasons: -2(3x -4) - 5 = 3x + 12
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08/22/16

Why does height=a (sin C)?
In a random triangle why is it the formula A=ab (sinC)? Why does it work
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06/22/16

Prove the following is true:
Prove that the indefinite integral from 0->pi/2 of cos^10(x) dx = 9/10 times the indefinite integral from 0->pi/2 of cos^8(x) dx   This problem showed up on one of the old exams and I fear... more
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05/05/16

let m,n belong to N, and m,n>1, prove that mn< (m+n)choose 2
let m,n belong to N, and m,n>1, prove that mn< (m+n)choose 2     Please help. Thank you!  
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05/05/16

let G=(V,E) be a graph and suppose a,b belong to V. Prove that if there is a walk from a to b, then there is a path from a to b
use the well-ordering principle.   Please help with this question, it's a practice problem, I just can't figure out. Thank you!
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05/03/16

Please help me with the proof below!
let 〈xn〉n=1...∞ be a sequence satisfying xn+1=xn-xn-1 for each n.Prove that ∀ n ∈ N, xn+6=xn by induction     Please help me. I'm reviewing for my final and something like this may appear on it.
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05/03/16

Please help with proof by induction below
let 〈xn〉n=1...∞ be a sequence satisfying xn+1=xn-xn-1 for each n. Prove that ∀ n ∈ N, xn+6=xn by induction
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05/02/16

Let a,b and c be the sides of a triangle. Show that a/(b+c-a) + b/(a+c-b) + c/(a+b-c) >=3
 Please help me find the step by step proof to this question.
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04/19/16

Prove that for every natural number n, cos(nx) can be expressed as a polynomial in cos(x) of degree n
please help, Im very confused. This one on my exam and I didnt understand it at all. Want to know the answer so I can study for my final.
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04/18/16

Very challenging proof: Prove that for every natural number n, cos(nx) can be expressed as a polynomial in cos(x) of degree n
Please help! I do not know how to do this practice problem. My professor told us to try it for fun. But, he never went over it in class. And now im curious
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04/14/16

Please help me prove by induction the theorm below
let〈an〉∞n=1 and 〈bn〉∞ n=1 by sequences of numbers Then ∀ m∈N ∑(an+bn) = (∑an) +(∑bn)   Proof by induction   Side note: The summations go from n=1 to m
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04/06/16

Midpoint HELP!!!!!!!!!! (proofs)
In ΔABC, the points M and N lie 5/8 of the way down the sides on which they lie.    Prove:  i.  Line Segment MN is parallel to the base Line Segment BC ii. Length MN is 5/8 the length of BC
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