Let Q be a regular tetrahedron and p a point outside Q. What is the greatest number of faces conv(Q U p) can have for any p? What is the fewest? Can conv(Q U p) have an odd number of faces?

Q: The number of integer values of m, for which the x-co- ordinate of the point of intersection of the…

A: Introduction :

Q: Q2/ Fin x in the

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Q: Find all values of z for which z* + 2 – i2v3 = 0 and represent them geometrically.

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Q: Find the degree measures of ZKOJ and ZLOK given LKOJ = LLOM such that M2KOJ = 6x - 20, MLLOK = 3x…

A: We have to find the angles KOJ and angle LOK.

Q: In Exercises 35 and 36, use Theorem 2.5.1 to solve the prob- lem. According to this theorem, the…

A: Definition used -                     Number of diagonals -                          D= n(n-3)2…

Q: Solve for n if nP, = 6nP,, where P means permutation.

A: Formula of permutation: Prn=n!n-r! We are given that P5n=6×P3n So, using the formula:…

Q: 1. Find the 5roots of z1 = -V3+iv3. %3D

A: (As per bartleby guidelines, for multiple questions asked, only the first question will be solved.…

Q: Find the value of the Conj uction g(+) ifya know that w(f.g)=3e" and fCo=et (Wronskain)

A: We will find out the required value of g(t).

Q: Evaluate efffxv xdv,where D is the tetrahedron with vertices (0,0,0), (2,0,0), (0,2,0) and (0,0,2).

A: Given problem:- Evaluate  ∫∫∫D xdv ,where D is the tetrahedron with vertices (0,0,0), (2,0,0),…

Q: 9. Use coordinate geometry to prove AABC~ADEF. -3 -3 -2 -1 -1 A

A: Topic:- geometry

Q: Quadrilateral PQRS is inscribed n a circle.If m∠PQR = 2x, m∠QPS = 2x−10, and m∠RSP = 2x+10, find the…

A: Given a quadrilateral PQRS inscribed in a circle i.e. quadrilateral PQRS is a cyclic quadrilateral…

Q: Q/usethe Fibona ccimethod to Solve thefrablem In four stefs uPslon Min fo=X+ [ze27,6-1] and E=ort 25…

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Q: Find the pmf p(x) of X, the number of casts needed to obtain that first six.

A: Let x be the number of times die thrown until 6 appears. Probability that 6 appears on top is 1/6…

Q: the associateu mCs are paamei. 6. Find the DE of y = ax2 + bx + c by eliminating the arbitrary…

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Q: The vertices of a triongle are represented in Argand diagram by the complex mbers z, 2, Interpret…

A: Consider the following diagram for the given triangle in Argand diagram: The complex numbers can be…

Q: Use z = a + bị to show that z + 7 = 2a and z - 7 = 2bi.

A: Given: z=a+ib

Q: What is the dimension of P,?

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Q: Prove that P(A) - P(3)| 4 P(AAB). where A is the symmetric difference.

A: The following identity can be proved after breaking the LHS and RHS into mutually exclusive events,

Q: Solve the Fol| owing linear ryctems completely and nece ssary solutions. Computations. show all 3x 2…

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Q: a. Draw any two segments, AC and BD, that bisect each other at O. Whatappears to be true of quad.…

A: a) Consider the obtained quadrilateral ABCD, Where AC and BD bisect each other at O. So the…

Q: Let A and B be congruent nonintersecting cubes, with B a translated copy of A. What is the most…

A: To discuss the maximum and minimum number of faces in the convex hull of two cubes (under the given…

Q: IFA and B have 6 and 9 elements each, what is the minimum number of elements Aunion B?*

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Q: If A and B is a symmeyric, proof that AB-BA is a skew symmetric?

A: We know that a symmetric matrix is a square matrix that is equal to its transpose and a…

Q: Show that if n e Z is a perfect square such that 3|n, then 9|n.

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Q: . If AB = 5x + 1 cm, BC = 4x + 2, CD = 6x – 2, and AD = 5x – 1 cm, what value of x will make ABCD a…

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Q: Find the value of k for which A is symmetric: 1 4 3k A = 4 27 %3D 29 12 7k +1 9.

A: We have to find value k

Q: Which pair of triangles can be proven congruent using the SAS Congruence Postulate?

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Q: 2. Show that if x and y are perfect squares (that is, x = m? and y = n2, where m and n are…

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Q: Solve the followig 13. BauSsian or Eduss Jordan Using E lemination. 5x, +6x=7X 3D0 3. ース×,+ 3X7…

A: Answer

Q: 3) Find integers x and y such that 13x + 15y = 1.

A: We see, 15 - 13 = 2              => k(15 - 13) = 2k for any integer k              => 15 k -…

Q: Prove the convolution theorem below, Eqn. 19a.

A: In this question, we prove the convolution theorem for Fourier inverse transform…

Q: In ANOP, NP is extended through point P to point Q, mZOPQ = (6x – 15)°, m/PNO = (2x + 18)°, and…

A: We have to find x

Q: , find P and diagonal D so that A= PDP-1

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Q: In AOPQ, OQ is extended through point Q to point R, MZPQR= (4x – 10)°, m2OPQ = (x +9)°, and m/QOP =…

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Q: Given two red rooks and t ue rooks, find the number of distintt woys in which the nooks Can be…

A: it is given that there are two red and two blue books. And there is a board that has, n×n cells.…

Q: and such that the sum of their squares is as small as possible. Give the sum of the squares.

A: Given problem:- 2. Using Lagrange multipliers, find three positive numbers whose sum is 18 and such…

Q: 5. Find the v alue of x. 5x – 4 x + 6

A: Given :    To determine : The value of x.

Q: The entries of A are aij. Assuming that zeros don't appear. what is (a) the first pivot? (b) the…

A: A =aij  where aij≠0we reduce A in row reduced echelon form first pivot  element is a11 bacause every…

Q: Sketch a 4-dimensional triangle (also known as a simplex), unfolded into three dimensions.  How many…

A: A 4-D triangle is made by taking 5 3-D triangles and connecting them together .

Q: Show that if n eZ is a perfect square such that 3 n, then 9|n.

A: We will prove the given statement.

Q: Solve the linear congruence 7а + 3у %3D 10 (тod16).

A: Consider the linear congruence 7x + 3y ≡ 10 mod 16.Since gcd (7, 3) = 1 we know at least one…

Q: 11. Square ABCD with verlices 4-1, 3), B(O, 6), q3, 5), and D(2, 2): yx A B. D:

A: We have to find the reflection

Q: G MH is even if and onlyit こい pd

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Q: Does plane N contain any points not on AB?

A: From the given diagram Point A and B are on the plane N and also on the line AB. Point C ,A and D…

Q: (5x – 8)°, In ANOP, mZN mZO = (x – 5)°, and mZP = (6x + 1)°. Find m2O. -

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Q: Find the solition set of 3(2x+2)-28(3x)+3=0

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Q: r = √3 − 2cos θ.

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Q: nd the supremum of each of the ecimal place.) , 12, 3} .2

A: Introduction: If there exists a real number M ∈R, called an upper bound of A, such that x∈ M for…