231 Answered Questions for the topic Proofs
Proofs Geometry
04/03/22
A question about angle bisectors that's crazy hard.
If the angle bisectors of a triangle are congruent, prove it's an isosceles triangle.
Proofs
02/25/22
proof or disprove
how do I go about proving this statement. I know i can disprove a statement by using its negation but how do I go about solving this statements∀a, b ∈ R, a ≤ b ⇒ ⌈a⌉ ≤ ⌈b⌉.∀a, b ∈ R, ⌈a⌉ ≤ ⌈b⌉⇒ a ≤ b
Proofs
02/23/22
Prove that there exists exactly one prime of the form n^3 −1.
Proofs Geometry
02/05/22
Given quadrilateral ABCD, prove∠A≅∠C if AB=CD and and ∠ABD≅∠CDB.
Given quadrilateral ABCD, prove∠A≅∠C if AB=CD and and ∠ABD≅∠CDB. Use statement and reasoning.
01/24/22
There exists a unique integer a such that a + b = b for all integers b.
I am doing this for a proofs class and I keep getting confused about how to prove it
01/08/22
Pre Calculus Trig Proof
I dont get the approach on how to prove this statement is true(tan x)/(1-cot x) + (cot x)/(1-tan x) = 1 + sec x(csc x)
11/01/21
Proof question about division
How to prove that if n|a-b, then n|ak-bk, similarly if n|a-b, then n|(a-b)k
Proofs Linear Algebra
10/29/21
Show that u and v are orthogonal if and only if (||u+v||)^2 = ||u||^2+||v||^2.
Show that u and v are orthogonal if and only if (||u+v||)^2 = ||u||^2+||v||^2.
Proofs
10/21/21
How to write this proof?
how would you write this proof <1 is congruent to <2 show <3 is congruent to <4
10/03/21
Covariance Alternative Formula
Can someone show how this is equivalent? Cov (X,Y) = E[X(Y – μY)] thank you in advance!
09/25/21
Let f: A→B be a function, and X⊆A.Prove or disprove: f(f^−1(f(X)))=f(X).
More clearly written: Let f: A→B be a function, and X⊆A.Prove or disprove: f(f-1(f(X)))=f(X).I'm not sure where to even begin with this question...
Proofs Discrete Math
09/20/21
Could someone help me on this Proof please?
We went over this question today in class and I don't understand it. Could someone help?Let a and b be integers. Prove that a<b if an only if a≤b-1What I did was rename a and b, x and x+1...
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Please help :))
How does: 4 -((k+2)/(2^k-1)) + (k+1)/(2^k) = 4 - (2(k+2)/(2^k)) + (k+1)/(2^k)
Algebraic Proof Question
Using algebra,prove that, given any 3 consecutive even numbers, the difference between the square of the largest number and the square of the smallest number is always 8 times the middle number.
Proofs Geometry
05/27/21
Triangle Proofs, plz help
Given : AB is congruent to AC and DA bisects angle BAC Prove: angle DBC is congurent to DCB
05/10/21
How do I solve this Derivation Proof in Logic ¬A → [(B ∧ A) → C]?
I have attempted to solve this question multiple times but keep getting it wrong. Im only allowed to use Conjunction Introduction/Elimination, Conditional Introduction/Elimination, Negation...
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Proofs Geometry
04/27/21
Given: Quadrilateral ABCD; AC and BD bisect each other. Prove: That ABCD is a parallelogram
I need help ASAP, link for the geometry problemLink: https://drive.google.com/file/d/1jeav4gersc74JVun9XFRs3wn-u2h2GNc/view?usp=sharing
Proofs Math
04/14/21
Number Theory (Prove by Mathematical Induction)
Prove by Mathematical Induction:If x ≥ 0, then ∀n ∈N, (1+x)n ≥1 + xn
Proofs Math
04/13/21
Prove by Mathematical Induction
Prove by Mathematical Induction:If x ≥ 0, then ∀n ∈N, (1+x)n ≥1 + xn
04/07/21
What is the most probable next number in the sequence?
What is the most probable next number in the sequence?2, 3, 5, 8, 13, 21,3 4, 55, 89, 144, 233, 377, 610,...
04/07/21
Write an explicit formula for the sequence:
Write an explicit formula for the sequence: {-1/6 , 1/7, -1/8, 1/9, -1/10, 1/11, ...)an= ?
04/07/21
Find a formula for the general term an of the sequence assuming the pattern of the first few terms continues.
Find a formula for the general term an of the sequence assuming the pattern of the first few terms continues.{ 7/2 , 7/4, 7/8, 7/16, 7/32, ....)assume the first term is a1an=
04/07/21
For the sequence an=an−1+an−2 and a1=4,a2=5,
For the sequence an=an−1+ an−2 and a1 = 4,a2 = 5, What are the terms?1st term: 2nd term: 3rd term:4th term:
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