233 Answered Questions for the topic Proofs

04/07/21

For the sequence defined by a1=4, an+1 = 3/an-4
For the sequence defined by a1=4an+1=3/an-4a2= -13/4what about a3=a4=
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04/06/21

STATEMENTS AND PROOFS
1. Given: CI ≅ HI & GI ≅ AI Prove: △CIG ≅ △HIA Given: RE ≅ NE, RO ≅ NO Prove: ∠1 ≅ ∠2
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04/06/21

STATEMENTS AND PROOFS
1. Given: CI ≅ HI & GI ≅ AI Prove: △CIG ≅ △HIA Given: RE ≅ NE, RO ≅ NO Prove: ∠1 ≅ ∠2
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04/06/21

FInd a formula for the general term a_n of the sequence assumin the pattern of the firwst few terms continue
{ 2/2 , 2/4, 2/8, 2/16, 2/32, ....}Assume the first term is anan = ???
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Proofs Math Mathematics

04/03/21

Let x,y∈Z. Prove that if x and y have the same parity, then x^2+xy is even
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04/03/21

Mathematics: proof with sets
A) Prove that given sets S and T, we have S⊆T if and only if S=S∩TB) If S∩T=T∪S, then S=TC) If SxT=TxS and both T and S are nonempty, then S=T
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03/30/21

Some basic proof by cases problems
I'm stuck on these basic proof problems. Could you share your solutions with me?a)Prove 3|(2n^2+1) if and only if 3∤n for n∈Zb)Let a∈R. Prove that a^2≤1 if and only if -1≤a≤1
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03/18/21

Find the nth term of the geometric sequence whose initial term is a1=8.5 and common ratio is 7.
Find the nth term of the geometric sequence whose initial term is a1=8.5 and common ratio is 7.an= ? Must be a function of n
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Proofs Math Geometry

03/17/21

Geometric Reason and proof
Provide reasons for the proof.Given: angle 2=4and 2 and 3 are supplementaryProve: angle 1=3Statement: Reason1. 2 congruent to 4 1. Given2. m2=m4 2. Angle congruence postulate3. angles 2 and 3 are... more
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03/05/21

Find the least non-negative integer that satisfies this existence theorem:
Find the least non-negative integer that satisfies this existence theorem: There exists n is an element of Z (real number) 2n^2 - 7n + 2is prime.
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03/01/21

The coordinates of quadrilateral PRAT are P(a, b), R(a, b + 3), A(a + 3, b + 4), and T(a + 6, b + 2). Prove that RA̅̅̅̅ is parallel to PT̅̅̅̅.
The coordinates of quadrilateral PRAT are P(a, b), R(a, b + 3), A(a + 3, b + 4), andT(a + 6, b + 2).Prove that RA̅̅̅̅ is parallel to PT̅̅̅̅.
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02/27/21

Verify the identity algebraically. Use a graphing utility to check your result graphically.
sin(a/3)cos(a/3) = 1/2sin(2a/3)Use a Product-to-Sum Formula, and then simplify.sin(a/3)cos(a/3) = 1/2(sin(a/3 + a/3) + _____)= _______
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Proofs Math

02/27/21

How to show a function f has at most one real root?
f(x)=x^7+3x+16What I have is :Let f(a)=f(b)=0 for all a,b \in R. Then by MVT, there exists c \in (a,b)such that f'(c)=0f'(c)=f(b)-f(a)/b-a=0and Im stuck. My professor told me that im on the right... more
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02/23/21

Linear Algebra Question
Let G be a function from R2 to R2, G: R2->R2 so, if xER2 then G(x) is uniquely defined. and G(x)ER2 (for example the velocity of a boat as a function of its position on the ocean)We say that G... more
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Proofs Geometry

02/23/21

how can i prove ABCD is a parallelogram?

Given: Quad. ABCD with diagonal BR, <A=<C and <ABD=<CBD. prove ABCD is a parallelogram
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Proofs Geometry

02/18/21

Complete the two-column proof of Theorem 3.9
Fill in the blank spaces for the reasonsProve theorem 3.9Given: m⊥l, n⊥lProve: m || nStatements Reasons m⊥l, n⊥l <1 is a right angle. <2 is a right angle... more
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02/06/21

Verify the identity algebraically. Use a graphing utility to check your result graphically.
5 sin(𝜃) csc(𝜃) − 5 sin2(𝜃) = 5 cos2(𝜃)Use the Reciprocal and Pythagorean Identities, and then simplify. (Simplify your answers completely.)5 sin(𝜃) csc(𝜃) − 5 sin2(𝜃) = __________ - 5 sin2(𝜃)=... more
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02/06/21

Verify the identity algebraically. Use a graphing utility to check your result graphically.
5cot(𝛼) / csc(𝛼) - 1 =5csc(𝛼) + 5 / cot(𝛼)Multiply the numerator and denominator by a common expression, and then use a Pythagorean Identity to simplify. (Simplify your answers completely.)5cot(𝛼)... more
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Proofs Math Geometry

02/05/21

Given: C(0,0), A(d,e), T(c + d, e) and S(c,0). Prove that CATS is a parallelogram.

Given: C(0,0), A(d,e), T(c + d, e) and S(c,0). Prove that CATS is a parallelogram.
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Proofs Math Geometry

02/05/21

Given: L(0,b), M(a,b), N(a,0) and O(0,0). Prove LMNO is a rectangle
Given: L(0,b), M(a,b), N(a,0) and O(0,0). Prove LMNO is a rectangle
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Proofs Math Geometry

02/05/21

. a. Prove that R(­5,0), H(2,­1), O(7,4) and M(0,5) are the vertices of a rhombus. b. Prove that this rhombus is not a square.
. a. Prove that R(­5,0), H(2,­1), O(7,4) and M(0,5) are the vertices of a rhombus. b. Prove that this rhombus is not a square.
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Proofs Math Geometry

02/05/21

a. Prove that R(2,1), E(10,7), C(7,11) and T(­1,5) are the vertices of a rectangle. b. Prove that this rectangle is not a square.
a. Prove that R(2,1), E(10,7), C(7,11) and T(­1,5) are the vertices of a rectangle.b. Prove that this rectangle is not a square.
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Proofs Math Geometry

02/05/21

a. Prove that R(2,1), E(10,7), C(7,11) and T(­1,5) are the vertices of a rectangle. b. Prove that this rectangle is not a square.
a. Prove that R(2,1), E(10,7), C(7,11) and T(­1,5) are the vertices of a rectangle.b. Prove that this rectangle is not a square.
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Proofs Math Geometry

02/04/21

The vertices of Triangle MAT are A (–3, 1), M (3, 4), and T (–2, –1). Find the coordinate, H, that would turn triangle MAT into rectangle MATH. Prove that MATH is a rectangle
The vertices of Triangle MAT are A (–3, 1), M (3, 4), and T (–2, –1). Find the coordinate, H, that would turn triangle MAT into rectangle MATH. Prove that MATH is a rectangle
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Proofs Math Geometry

01/29/21

Prove that M(­2,­1), A(1,6), T(8,3) and H(5,­4) are the vertices of a square.
Prove that M(­2,­1), A(1,6), T(8,3) and H(5,­4) are the vertices of a square.
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