2. In parallelogram ABCD, the diagonals AC and BD meet at O. If AO = 3x – 1, OC = x +7 and OB = 2x + 3, prove that ABCD is a rectangle. %3D %3D

Q: 1) x + y + z = 9 2x + 3y + z = 23 3x + 2y + 4z = 22

A:

Q: In Exercises 13–16, define T : R² –→ R² by T(x) = Ax. Find a basis B for R? with the property that…

A:

Q: second

A:

Q: 5 4) L-1 s² + 2s – 3

A: First break into partial form then use in verse laplace

Q: Addition problem 10/b + 1/10b=

A: Consider the given expression

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A:

Q: csc -1Vxdx (6) Vx3 -x2 CSC x3-x2

A: From the given problem:   I=∫csc-1xx3-x2dx   So we can also write as:   I=∫--2csc-1x·12x-1xdx.....1…

Q: Problem 4. Count the number of non-negative integer solutions to 3x₁ + 3x₂ + 3x3 +7x4 = 22. Justify…

A: Given Data: Let us consider the given equation, 3x1+3x2+3x3+7x4=22

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A:

Q: Problem 9. Let 1 4-647 (a) Ax A Find a solution to each of the following: [6] (b) Ax 1 (c) Ax = ]

A:

Q: Differentiate all three problems

A: Given functions are

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A:

Q: If x = (1/2)a + (2/3)b + (3/4)c c=(12x-6a-

A: The detailed solution is given below Thank you

Q: What is the smallest possible value of the sum of their squares if the sum of two positive numbers…

A: see below the explanation and answer

Q: Addition problem 5x/6 plus 4x/6 =

A: Given expression is,

Q: 1 (2y SS e*+ydxdy

A:

Q: how to calculate the following problem  5(-7) – 2 (-4) + 6(-3)

A: Please see the attached image for the solution.In adding numbers of the same sign, just add the…

Q: Problem 3. (4) 201

A:

Q: 8. 6x + 5x +1 = 0

A: A quadratic equation is any equation that can be rearranged in standard form as,  ax2+bx+c=0 where x…

Q: Problem 5 A number is nine more than another number. Twice the sum of the two numbers is ten. What…

A: Qn. 5) Let the two numbers be x and y, According to question : x-y=9.........................(1) and…

Q: How to solve problems 13-16 ?

A: 13. (a) 0.4=1.96 (3)n→n=5.790.4→n=14.475→n=209.5256≅210 Thus, a minimum sample of 210 sizes is…

Q: 9-4x2 16x² dydx 2 3/2 H/2

A: We will solve the following.

Q: 5x + 6y

A:

Q: Problem 3 A sheet of cardboard measuring 3 feet by 4 feet will be made into an open-topped box by…

A: let the side of the square is x. Consider the following diagram, the length of the box will be 4-2x…

Q: Solve for A. A = 1 [-2 -2]-[88] A = 1 01 -1/3 -2/3 2 5 ↓1

A:

Q: 7. x = y + 2z - w = -1 2x + y2z - 2w = -2 -x + 2y4z + w = 1 3x - 3w = -3

A:

Q: (b) Consider a square whose side is 1 unit. If the measure of its side is doubled, what will be its…

A: the side of the square is 1 unit. the area of the square is given by Area = side2 substitute the…

Q: 7. 5x- 21x + 4 = 0 8. 6x + 5x +1 = C

A: Solution of questions 7 and 8

Q: 4. I dr 2r + 1 r-1

A: NOTE: Refresh your page if you can't see any equations. . here we can write  1=-2+3

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A:

Q: 18y - 17 dy 3/2

A: Topic = Integration   Formula used∫x dx = xn+1n+1+C

Q: 1. 2x - 1 2x - 3 X x + 1 2x + 1 2x² - x - 3 = 0

A: Given equation:- 2x-12x-3-xx+1-2x+12x2-x-3=0

Q: 一25 х-7 x+5

A: The absolute value of the function can be calculated by considering 2 conditions. The two conditions…

Q: 1. y = x + 2x - 8

A: Here we want to find the characteristics of the given equation using the graph on desmos. We can…

Q: In(4)=3x+1

A: Given :                       ln(4) = 3 x + 1

Q: -1 A= (52) 0 Problem 3. Given A= find A+1₂

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Q: 7. 4x-19x-5 = 0 8. 10x -x-2 = 0

A:

Q: x + y + z = 3   x + y – z = 3   2x + 2y + z = 6

A: Solution of given question is written in below steps.