1b) Given yadrilateral KLMN with K(-,4),L (2,2),Mlo-1) and NC-3,1). Verify that KLMN is a Square, Make Sure to a final Bretes there fore Statement explaing Why You include have Shown this to be e true, Show work and all the StePs.

Q: The triangle that has vertices at M(-4, 0), N(3, – 1), and Q(2, 4) has been boxed in as shown. Find…

A: Given the vertices of triangle M(-4,0) , N(3,-1) and Q(2,4). We need to find the area of the…

Q: In a rectangular grid point (i, j) with nonnegative integer coordinates, a diagonal lattice path is…

A: Consider the equation

Q: 4. Show that we may teplace (N2) bf without altering the that negativity of (N3) Concept of a norm.…

A:

Q: 1. If there are 8 distinct points on a plane with no three of which are collinear, how many…

A:

Q: 25. If mRU = (16x - 13)', mSE (11x - 24)', and M2STU = (3x + 1)', find mŠU %3D Iex-13. mSU=

A: By visuals, we can say that RS is diameter in this circle.

Q: Let feC-2,2], fo-o. Prove that Max -2

A:

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: find Len th of avectors 2く3,-S,\> D=くW5> ビ,37 andd And Draw the coordinates for each point

A:

Q: b)Show that, 6(z, 3zy – y' and (z,y) = -+3ry are harmonie

A:

Q: 8. Express as a polynomilal. Arrange your answer from term with highest degree to lowers degree *…

A: SINCE YOU HAVE ASK MULTIPLE  QUESTION IN SINGLE REQUEST. SO WE WILL BE ANSWERING ONLY FIRST…

Q: - check the exi's tence of limol of the Lunetiom 41n at X= 1 %3D 2X+/ こ Xラ-3

A: To check: The existence of the limit of the function. Given: The function is fx=2x+1     -1≤x≤1x22-3…

Q: 5. Determine mZU if mZR = 9x 10 and mZU = 3x + 4. %3D %3D R S T. mZU = 50.5° mZU = 35° %3D mZU = 75°…

A:

Q: 2 A cube of side 125 cm is painted red on all the faces and then cut into smaller cubes of sides 25…

A:

Q: What is u × w, assuming that w × u = 〈2, 2, 1〉?

A: Given,w×u=2,2,1 To find:u×w Solution: We know ,by property of cross product of two vectors (say,a…

Q: Prove using the IVT. 2x = bx has a solution if b > 2.

A:

Q: Write TRUE if the given situation illustrates combination, otherwise FALSE. 1. Forming a committee…

A: Permutations are those arrangements where order is important, while combinations are those…

Q: Q1. Let AABC be a triangle having a defect 10 and let BCFE be the corresponding Saccheri…

A:

Q: The distance from the point K(3, -2, 0) to the az- plane is Select one: O-2 O √13 O 0 02 O None of…

A:

Q: Let T be a equilateral triangle with each side having length 1. Imagine T in a fixed position in the…

A: There are 8 kind of equilateral triangle from two colors red(R) and blue(B). RRR-S1 BBB-S2 RBR-S3…

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 Caleudale the verbor fanetiom dwsugene and Cuele g the fallowang

A:

Q: 9. Let u AB and v = =PQ where A=(-4, 6), B = (3, 3), P = (4, 5) and Q = (-3, 8). Can you verify that…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 1. A bowl contains 10 red and 10 yellow balls, how many balls must be selected to ensure 5 yellow…

A: Since you have asked multiple questions here, we will solve the first question for you. To get the…

Q: 27. Prove in detail that Q(/3+ 7) = Q(/3, v7).

A: We have to prove given equation.

Q: AABD and AACD are two right triangles uith LADB =LADC =90. A And AB = AC show AABD ? AACD, and state…

A:

Q: Hew.b prove that CAXB)-Ais atways-Zero

A: Topic:- vector  algebra

Q: If A = 2x²,-3yz, xz² and qp = 2z - x³y. Evaluate A Vop and A x Vp at the point (1, -1, 1).

A:

Q: how did the y' and 2y' apearred out of no where in line 7

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: 10. Triangle JLM with verfices J(-5, 7), L(8, 3), and M(-3, -1): (0, - 5)

A:

Q: Evaluate ff xydxdy over the square with corners (0,0), (1,1), (2,0) and (1, –−1) (u + v) (u - v) 2 2…

A:

Q: Fiven with z1 = (-3,1) and z2 = (1, 4). Show that |21 2| = |21||2|- %3D

A: Complex number and it's modulus

Q: Cannot solve!

A: Given complex numbers are These can be written in polar form as Now,

Q: 2 FIND THE PARAMETRIC AND SYMMETRI C EQUATIUNS OF THE 甥寮┤㈑┤㈑┤㈑┤㈑┤ PASSES THROUGH (2,8,10) THAT AND…

A: In geometry and physics and its engineering applications, we use two kinds of quantities, scalars,…

Q: 4) Find the equati he Tunge af point (2,-2). 2. -2つC- リ-4

A: Hi, Thank you for the question. Since you have posted multiple questions as per the rule we will…

Q: 27. Show that a triangle with vertices at (3, 5), (3, 2), and (2, 5) is a right triangle.

A: If we can prove that above triangle satisfies Pythagoras theorem then we can say that above triangle…

Q: Compute ∮c (ydx+zdy+xdz) where C is the triangle with vertices (3,0,0), (0,0,2), and (0,6,0)…

A: The given points can be plotted as A(3,0,0) B(0,0,2) C(0,6,0)

Q: (3) Let A be m x n (not need to be square). What is the sum of the diagonal elements of ATA in terms…

A: (3) Given that Abe m×n matrix (not need to be square matrix). We have determine the sum of the…

Q: 2 FIND THE PARAMTRIC AND SYMMETRI C EGUATIUNS OF THE LINE THAT PASSES THROUGH (2,8,10) AND く2,8,147…

A: The given data is: The line passes through 2,8,10 and parallels to 2,8,14 To find the parametric and…

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: Find k so that (1,2,3) and (–k, 1 + k, 2) are perpendicular.

A: Using definition of dot product.

Q: 7. Minh says that the rectangle on the left in Fig- ure 11.12 is larger than the one on the right,…

A: Given,According to Minh, red rectangle is larger. According to Sequoia, green rectangle is larger.

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: 2) Prove by using the pigeonhole principle that among any 17 points in a square of side one there is…

A: Given: A square of side one contains 17 points. To show: There is at least a pair whose distance is…

Q: IAsa matrx with 10 rows and 3 columns then what are the dimensons of U. D. and v' using the way we…

A: It is given that,A has order 10×3

Q: Compute Simits If they the eist 8+iz z²+4 hit Zマ-2 Re 2

A:

Q: In AJKL, JL is extended through point L to point M, MZLJK = (x + 9)°, mZJKL = (x - 2)°, and m/KLM =…

A: The exterior angle is equal to sum of two opposite interior angles. We will use this property to…

Q: Determine the roots the following polynomíal 25 – 24 + 723 – 7x² + 12z – 12 if one of the roots is…

A:

Q: (b) Show that when dist(x, y) = dist(x, –y), then x and y are onal. orthog- %3D

A: Given  dist(x,y) = ||x-y||