4. a. Prove that 8s + 13 L-1 (s² + 4s – 5) 5(7et +9e-5t) by using completing the square method.

Q: B. Find the value of k that makes x2 + (k + 5)x + (5k + 1) a perfect square.

A:

Q: 38 a Complete the square for x² – 8x + 25. b Hence find 2x +7 dr. x² - 8x + 25

A: To complete the given square and to evaluate the given integral.

Q: 9. In the accompanying diagram of AABC, side AB is extended to D. If mLACB = x + 30, mZ CAB = 2x +…

A:

Q: Which quadratic has zeroes of 5 and 5/2  A) (q + 5)(5q + 2) B) (q - 5)(2q - 5) C) (q - 5)(5q - 2)…

A:

Q: 3K4 Given: 22 24 Prove: 1 3

A: Straight angle is 180

Q: Prove that r - 2 does not split in Q ( V2e*).

A: given   x3-2    and    Q23e2π3i now…

Q: 1972 O 1792 1729 The value of k which will make x + 2kx + k+2 a per fect square trinomial is? O 5 4…

A: Option A is the correct answer .0  Option C is the correct answer.405x^2y^4

Q: Expand (x + 4)(x – 5) and use this answer to write down the quadratic equation in the form ax2 + bx…

A:

Q: What are the solutions of the équation below? 5x(x + 8) = 0

A:

Q: (c) Express the quadratic form Q(x1,42. 43) = 6xj + 3x+3x-4xx2 - 21213 + 4xar1 to the sum of square,…

A:

Q: 5. y" - 7y' +12у-х'e4x

A:

Q: Use the fact that x'-6x = 2 has no integer solution to prove there do not exist 3 consecutive…

A:

Q: 5 For Exercise, perform the elementary row operations on 2 4 -2 -3 | 10 R1 = R2

A:

Q: 13. Which of the following are NOT perfect square trinomials? Pick all that apply. A) y = x² + 2x +…

A: The possible trinomials are

Q: What is the nature of the roots of 3y"+15y+33? What is the nature of the roots of 4y"-12y+16?

A: Nature of the roots of the differential equation

Q: All of the areas are perfect squares. A=25 m2 5 m The sum of the areas of the two A= 16 m2 5 m…

A: Yes all the square areas are perfect squares  Sum of two smaller square areas is = area of larger…

Q: Determine the value of 7A+8M if 5x4 + 3x3 + 14x² + 16x + 6 A x – 3 За + М ¤(1+a² )² 1+x2 (1+æ²)²…

A:

Q: Prove that there are no integer solutions to the equation x² = 4y + 3

A: To prove that there are no integer solutions to the equation…

Q: What is the largest number k for which 2x+3y=20 and 3x+4y=k have the same number if positive integer…

A: Given that, there are two equations following, 2x + 3y = 20…

Q: Make each of the following into a perfect square. 1. x^2 - 5x/2 + __ 2. 4x^2 + 16x + __

A:

Q: A project management consultant estimated that if a particular project was completed, t years after…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Solve the Syatem using augmented Mataix M. +3z = 1 %3D 2x 3D3 %3D

A: Given: x+y+3z=1            2x+3y-z=3            5x+7y+z=7To find the solutions: using Guass…

Q: 4. у"-5y'+6у %3D х5 +7x3+4x = X

A:

Q: Determine the enlue of K for which the systm hab no Solutions X+y * +२7 -रेच 2 3 +52=0 3x + 9y…

A:

Q: A. by extracting square roots. 1 x2 = 169 2.9b2 = 25 3. (3y- 1)2 = 0

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: Solve 2と ナ542 15 3x-6y=15 ansi- CX=8ツニーリ %3D

A:

Q: Show, by using the discriminant, how many solutions 2x2-x-5=0  has. must show all work

A: The discriminant of a quadratic equation ax2+bx+c=0 is given by D=b2-4ac.  We have h quadratic…

Q: 1) ciated with the quadratic form )² – 5x,x, + 6(x,)2.

A: We have to solve the problem

Q: 5.26 st factor out th 2x + 2x-24 ect the correc A. 2x +2x

A: In mathematics, the greatest common divisor (GCD) of two or more integers, which are not all zero,…

Q: Develop a C program that computes the different roots in a quadratic equation, ax + bX²=0. r = -b ±…

A: we need to compile a C program in order to find the roots of a quadratic equation

Q: a. Prove that 8s + 13 L-1 s2 + 4s – 5) + 45 – 5 -7(7e" + 9e-st) by using completing the square…

A:

Q: Eliminate the arbitrary constants for the ff: 3x2y - mx=3 Use elimination by forming PDE

A: Given the equation:3x2y-mx=3forming PDE by eliminating the arbitrary constantHere m is arbitrary…

Q: 20. The sum of the roots of 3x² - 6x + 12 =0. a. 3 b. -3 с. 2 d. -2

A: Given that, the quadratic equation is                                            3x2-6x+12=0…

Q: What is the value of k so that x -xy + is a perfect square trinomial? k

A: Given that, the given polynomial is x2-xy2+y4k, Compare the polynomial x2-xy2+y4k with the general…

Q: 1(d) Show that x − 4 is a factor of x − 5x + 2x + 20x − 24

A:

Q: The solutions of the quadratic equation x(4x – 3) + 3 = 0 are - O None of these O 3±iv57 8. O…

A:

Q: Solve the following LP using Simplex Method. Max z = 1500x1 + 2000x2 + 2400x3 Subject to 3x1 + x2 +…

A:

Q: 19. What is the largest value of the quadratic form 5(x,)? - 3(x2)² if x²x = 1. 20. What is the…

A:

Q: 8. (a) Compute the roots of the quadratic polynomial s² + 2s + 5. (b) Is the polynomial s2 + 2s +5…

A: Given quadratic polynomials2+2s+5a.Discriminant,D=b2-4acD=22-4×1×5D=-16D<0so, this quadratic…

Q: Solve for n; 9n-1 = (; 4n-1 %3D 3.

A: Use the following properties of the exponential function to solve this equation for n.

Q: Evaluate the integral 1 xp- 9x² + 6x – 8 by first completing the square and using the substitution u…

A: The given integral is: ∫19x2+6x-8dx To evaluate this integral, first, make the square by adding and…

Q: Use the LU factorization to find all solutions to Ax = b. [1 0 01 [4 - 2 1 0 0 8. - 6 1 A = 0. 1 0…

A: Value of x=(X1,X2,X3)=(3,-2,0) See below the calculation

Q: SO bisects ZHSR. If MZHSO=(2x+10)° and m2OSR=(4x-12)°, find r and MZHSR. (2r+10) (4x-12

A: Given: SO¯ bisects ∠HSR,  m∠HSO=2x+10° and m∠OSR=4x-12°. To find x and m∠HSR. Solution: Given SO¯…

Q: 6) Find the MZABD and M2CBD a) MZABC = 77° %3D At (3x - 22) (5x-17) B.

A:

Q: What is the complete factorization of 12r° - 3x²? H. = = = BI U S x, x² | E X2 x?

A: Answer

Q: AB is a midsegment of AXY Z. If ZB 3p-4 and BX = 2p+20, what is the value of p? %3D %3D A Зр — 4 2p…

A: For the given Triangle XYZ  AB is the mid segment  ZB = 3p-4 BX= 2p+20 p is calculated as shown…

Q: • What is the nature of the roots of 3y"+15y+33? What is the nature of the roots of 4y"-12y+16?

A:

Q: b) The polynomi al PGX) =x"+mx²+42x²+nx+65, where m and n are real, has zeros 3+2i and 1-i. :) Write…

A: Kindly note that there is misprint in question which is mentioned at the end of solution.

Q: Prove that 2r +1 is not a factor of 4r +r - 1.

A: We have to prove that  2x+1 is not a factor of  4x3+x-1.

Q: 1. Square QRST has diagonals QS and RT. Determine the length of QS if QS = 3x + 25 and RT = 9x – 5.…

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.