II. Prove the following using Direct Proof. . If x and y are perfect squares, then xy is also a perfect square. If a divides b and b divides c, then a divides c.

Q: Show that for A symmetric inf. = Amin(A).

A:

Q: 34. Prove by the indirect method: "The length of a diagonal of a square is not equal in length to…

A: Prove by contradiction

Q: 21) Find the area of a triangle fosmed from the twovectors a = L'+2j-k-.

A: Given, a ⇀=i+2j-kb⇀ =2i-j+4k

Q: 4. Which pair or pairs of triangles is(are) congruent by HL? 4. In which triangles could you…

A:

Q: #S. A is a 3x3 triangular matrnx with all = 2, azz= 3, ag3=4, I will represent the 3x3 idontily…

A: We have to find the determinat of A-I.

Q: 6. Show that the diagonals of the square with the given vertices are congruent perpendicular…

A: The formula for the midpoints of (x1,y1) and (x2,y2) is x2+x12,  y2+y12 and the formula for the…

Q: 6. Detemine which method (AAN AA, SAS Theorem of Similarity. SSS Theorem of Similarity) proves that…

A: similarity of traingles.

Q: Answer the following muitiple-charce algebora awestion below if A is a 3x3 triangular matrx with…

A: Let the matrix be A= 2ab03c004 where a ,b, c are any real numbers.…

Q: 6. Let ABCD be a trapezoid with bases BC and AD. A line passing through the vertex C and parallel to…

A: Given, ABCD be a  trapezoid with bases BC and AD.

Q: The base of a three-dimensional figure is bound by the line y = x +2 on the interval [0, 4].…

A: Let's find.

Q: Prove that if ABCD is the given rectangle, AE is the diameter of a semicircle, and BFGH is a square,…

A:

Q: 26. Write a two-column proof. Given: ABCD and AFGH are parallelograms. Prove: ZC = ZG A'

A: if two lines are parallel then crossponding angles  are equal

Q: 4. Consider the following diagram. 8т — 2n | 13 2m + n 4m + 1 Find the values of m and n that prove…

A:

Q: Prove this! P (an) = W/ NM) [M-N (p-q)" ] 8 Npq %3D exp

A: your question is not clear i think some error in the question plz confirm it.....

Q: 1) Prove that A is uniform pentagon and B is a half of a circle, also determine the areas of A & B.…

A: Here I am attaching image so that you understand each and every step. solutiongiven data (Let…

Q: Show that [o 2] A 3 0 has no A = L-U factorization where L is lower triangular and U is upper…

A:

Q: Find the values of a, b, c, d, e, f, g and h such that ax, S(x) = { 6(x – 2)³ + c(x – 2)² + d(x – 2)…

A: GivenS(x)=ax3,0≤x≤2b(x-2)3+c(x-2)2+d(x-2)+e,2≤x≤3f(x-3)3+g(x-3)+h,3≤x≤4such that S(x) is a natural…

Q: 3) Prove that A is uniform pentagon and B is a half of a circle, also determine the areas of A & B.…

A: Here I am attaching image so that you understand each and every step.

Q: 18) Given: ABCD is a rectangle M is the midpoint of AB Prove: DM CM

A: Given that ABCD is a rectangle and M is the mid point of AB. Therefore, AM=MB We know that the…

Q: A designer is creating various open-top boxes by cutting four equally-sized squares from the corners…

A: Given that, a square of sides x length is cut from each corner of the sheet. Then the length and…

Q: (c) Let z1 = 2+ 2i and let 22 =1+i. Prove that the triangle inequality |21 + z2| < |21| + |22|…

A: Left hand side is equal to, z1+z2=2+2i+1+i=3+3i=32+32=32 Right hand side is equal to,…

Q: 5. Which theorem makes the quadrilateral KLPQ a parallelogram for m = 14 and n = 12.5. %3D (5m +…

A:

Q: Let Q be a regular tetrahedron and p a point outside Q. What is the greatest number of faces conv(Q…

A: To determine the number of faces in the convex hull spanned by Q and p (p not in Q) under various…

Q: 2. Prove this using indirect proof in two-column form. Given: MP 1 NO M Prove: ZNPM is not a…

A:

Q: Prove by the indirect method: “The length of a diagonal of a square is not equal in length to the…

A: Introduction: There are some basic methods that are used to prove any mathematical statement. These…

Q: 2. Prove that there are no rectangles in S2. More precisely, prove that if A, B, C, D E S? form a…

A: given; ∠A=∠B=∠C=∠D=π2

Q: Verify that A + B and AB are upper triangular.

A: Given,    A=32-10-43000    and   B=6-32024003 Recall that, The square matrix is called upper…

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

A:

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

A:

Q: a third degree polyn omial has a lone laš à lóné -intercept at x-a,discuss what this implie bout the…

A: The Polynomial P(x) of 3 rd degree Which has a lone x intercept at 'a' will look like, P(x)=(x-a)…

Q: 2. Prove this using indirect proof in two-column form. Given: MP I NO Prove: ZNPM is not a straight…

A:

Q: 3. 2. If A is 2x2 matri x aud Á = A, but %3D A+ A. show that A= 0

A: The solution is :

Q: 3) Prove that A is uniform pentagon and B is a half of a circle, also determine the areas of A & B.…

A: It is asked to prove the given pentagon A is uniform and B is half of a circle.

Q: n(n – 1) (c) Prove by induction that the number of edges of K, is (d) Sunnoca

A:

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: In real-number multiplication, if uy1 = uy2 and u ≠ 0, we can cancel the u and conclude that y1 = y2…

A: Given:

Q: 13. A point lies on the bisector of LABC if and only if it is equidistant fromA and C.

A: To Determine: a point lies on the bisector of angle ∠ABC if it is equidistant from A and C. Given:…

Q: b) find the meet and join. of the ZeYO - One maFrices A = 1 10 %3D 111 010 and B = 000 [101 1111]

A:

Q: 共9. L is a Uxb matrx, so the rank of Lis at most: Al I B) 2 c) 3 D)4 E) one

A: L is a 4×6 matrix.

Q: R.2. Prove that if A and B – C are disjoint, then AN BCC.

A:

Q: 7. In quadrilateral FGHJ, FH and GJ bisect each other and FH = GJ. FG JH FJ GH What additional…

A: FH and GJ are bisector of each other.

Q: Use the side-splitter theorem to solve for a in the triangle below. 8 6.

A:

Q: Use the theorems and given information to show that r s. 12 3 4 87 6 5 44 = (13z - 4) ° , 48 = (9x +…

A:

Q: Let F1 and F2 be 4-dimensional flats in R6, and suppose that F, N F, # Ø. What are the possible…

A:

Q: r = √3 − 2cos θ.

A:

Q: 29. Find a formula for the area of the triangle whose vertices a 0, V1 , and v2 in R².

A: Given that  Vertices of the triangle is 0,v1,V2  To find the area of the triangle

Q: Make the first sir rows of the triangle for (), for q = 3. %3D

A: We have to make the first six rows of the tringle for nmq for q=3.