Given: AABC with A(1,6), B(5,4), C(5, –2) Prove: The circumcenter of AABC is E( 1, 1 )

Q: N Given: Z1 = Z2 and Z3 = Z4 Prove: MNPQ is a kite 3 4

A: Explanation: Given that,  ∠1≅∠2∠3≅∠4 We know that,  ∠1≅∠2∠3≅∠4NQ=NQ△MNQ≅△PNQ

Q: Show that the statement If n E N and a E Z*, then [Q(Va): = n is false.

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Q: Given A,B and C required to prove that A\(B\C)=(A\B)U(A∩B∩C)

A: Given  A, B, C are any three sets  We have to prove  A\(B\C)=(A\B)U(A∩B∩C)    Let X be unversal set…

Q: The onbr of the element (4,2) in Z, Zgie Answer do

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Q: Explain why that is the correct congruence criterion statement. J B IUAV

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Q: Answer the following: Given: A = {

A: Given: A=1, 2, 3, 4, 5, 6B=2, 4, 5, 6C=1, 6, 7

Q: 6. Show that the sets S = (1,5) and T = (0, 00) are equinumerous by finding a bijection from S to T.…

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Q: : Prove that (→āx5)(cxa) = a.c.a.a 6.c.b.d %3D

A: We use properties of scalar and vector triple product to prove this Question

Q: n ∈ Z, d ∈ N} and define (a, b) ≡ (c, d) to mean ad = bc 1. For any (n,d) we have (n,d) ≡ (n,d) 2.…

A: Equivalence relation:  Equivalence relations are binary relations that are reflexive, symmetric, and…

Q: A.2 (b) Show that, in general, ßo ‡ Bo, and find in terms of Y;. In what particular case is ßo = Bo?…

A: Simple Linear Regression(SLR)          It is a statistical method that allows us to summarize and…

Q: Let Let z, = 2-2i ,z, , Z2 =-1-3i find Find 1) 3-i) 2) Arg Z2

A: The complex number is of the form a+bi where a and b are real numbers and i is called iota whose…

Q: Find the value of lhe det.erminant of A using tke following mettods! Laplace Bxpan sion 2 3. 4 3. A…

A: Given that matrix A=2423334453522232. We have to find the determinant of matrix A using the laplace…

Q: 7. In ABCD, AC and BD divide each other in half at E. (a) Prove that ZDBC ZBDA. (b) Prove that ADBC…

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Q: Consider a 2,3,4,5, or 6 to be a "small card". Suppose X is the number of small cards in your hand,…

A: Given that 2, 3, 4, 5, or 6 are to be a small cards. There are two random variables X and Y. The…

Q: If x, y, z are integer's numbers and if x \y then x \ z then: 1) Show that x\ ym – zn for m,n e Z 2)…

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Q: Let A ={ 2,3,4 } and B = { 5,1,7 }. Α) Find (Σα (Σb) B) Find Σa?b -1

A: Solution: From the given information,

Q: b) Compute Sc C 2z²+z+₁ dz, where Z² +4 iii) C = {z: \z+i)=2

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Q: Given n(U)=70​, n(A)=29​, n(B)=21​, and n(A ∩ B) =4​,  find (A∪B)'

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Q: 6. Give a direct proof of: (PV R) V (P→ Q), ¬(P → Q); R → (P → Q) → P

A: Introduction: A mathematical statement is proved naturally without constructing a truth table. The…

Q: If Z- N(0,1), then P(0.33<Z<1.05) is: a) b) 0.129 0.353 c) d) 0.224 0.482 Accesibilidad todo corredo

A: Given : Z ~ N(0, 1)

Q: 3. If U and V are such that u; ='x; – A, v; =y, - B, then Cov (U, V) is :

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Q: Suppose p(x,y)=2x+y/33, x = 1, 2, 3, y = 1, 2 is the joint pmf of X and Y. Determine P (Y = 1). a)…

A: P(Y=1)=?

Q: Given: c d; 21 N2 Prove: 23 and Z4 are Supplementary Rease Statement

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Q: - 1 Let A = 1 3 Find:- 5 a ) 2 A+ B' b) В'А' — I

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Q: Which of the following is not valid? p→q AP pvq B) -p (c) q-r p→r D) -p

A: We need to check which of the following is invalid.

Q: Show that if A is nonsingular and AB = O for an n × nmatrix B , then B = O .

A: We have given  matrix A is non singular and AB=0 for an n×n matrix  B. We have to prove that B=O

Q: r* – 2 Show, using the definition, that is O(z²). z +1

A: Here, To satisfy the definition of O(x2), we need to find an appropriate choice of c and k.Let’s…

Q: .    Verify that: a)    (A - B) – C = A - (B ∪ C) b)    (A Δ B) ∩ B = B - A

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Q: Given Xn+1 X3 + 2x2 + 3X,n, shown below (also shown is Xn+1 = Xn), and X5 = 0.1, %3D what is AX;? a)…

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Q: If a (b,v,r,k,lambda) design is symmetric with lambda=1, then there exists an integer n such that…

A: Using projection property in BIBD.  We know that, Symmetric 2-designs with λ = 1 and order n &gt; 1.…

Q: O Prove thal P(m, n) - (n,m).

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Q: In (R, Tµ), if A = (1,3) n (Q – Z) then A = - %3D O a. [1,3] n (Q- Z) O b. R O c. [1,3] – {2} O d.…

A: Given that, In ℝ,ζυ, if A=1,3∩ℚ-ℤthen calculate the value of A.

Q: QUESTION 5 Complete the proof using the drop-down menu. Prove: (A xB)N(C×D)c(ANC)x(B ND). VE(AXB)N(C…

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Q: Campute the improper in hegnel S, xe

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Q: Find a) Ra Py for ū =|2 3

A: The symbols Rπ2Py indicates that the matrix is rotated by π2 and the projection is on  y axis. The…

Q: 3. a, b.c E Rwhere, a + b+c = 0 and p2 +2 = 3i+37. a. Show that, (as- bi) (ai+ aibi + bi) = b. Show…

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Q: EVALUATION □. Evaluate 1.) 2a²-b³ m-2 2.) n³ the ff. if a= 7, b= 8 if m= 3, n= 6 3.) 4.) 3x²y-²…

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