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.

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)
Proofs Math Mathematics

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

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

Covariance Alternative Formula

Can someone show how this is equivalent? Cov (X,Y) = E[X(Y – μY)] thank you in advance!

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... more

09/04/21

Please help :))

How does: 4 -((k+2)/(2^k-1)) + (k+1)/(2^k) = 4 - (2(k+2)/(2^k)) + (k+1)/(2^k)

06/07/21

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

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... more
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

04/16/21

Given the figure, prove that ∠CAK > ∠G

Note: Use Geometric Inequalities, Thank you
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= ?

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=

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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