Find a cut-and-paste geometric proof of the difference of squares equality: x² − y² = (x + y) (x − y) in the case where x >y> 0.

Q: How do I complete the square on thsi following polynomial: x2-6x+12-y=0 To end up with:…

A: x2-6x+12-y=0 cannot be expressed as (x-3)2+4-y=0 because (x-3)2+4-y=0 when expanded will give…

Q: Determine b and c for the quadratic function f(x) = −x2 + bx + c where the y-intercept is 2 and it…

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Q: Which function represents a transformation of the parent quadratic function and 2 units down? a. fx)…

A: Here we have to transform the parent qau8dratic function 6 units to the left and 2 units down.

Q: Determine a change of variables (make sure the coefficient of ₁ is po ₁+ X2 /1 and 12 so that + x₁+…

A: Given that the quadric from                            q= 30x21+(-5)x22+(-120)x1x2…

Q: L[3t²+ 4t3/2]

A: We have to the Laplace transformation of 3t2+4t32

Q: Find all the zeros given that z 2 and z=-7 are zeros: j (z) = 4x + 19z - 64z2 -I+ 42 %3D %3D %3D O x…

A: Answer

Q: If the sum of the roots of the equation 1/(x+ a) + 1/(x + b) = 1/c is zero, then prove that the…

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Q: 2x+2 y = 5

A: Given : 2x+2y = 5x+y = 3

Q: Find a side and diagonal relationship to find √10. Then use it to find an approximation to √10…

A: To find a side and diagonal relationship to calculate √10, consider a right-angled triangle where…

Q: Find the value ofc that makes x² +10x +c a perfect square polynomial

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Q: 2. Solve for x: (a) -3.x* +2=0 4x3 +5x3 – 6=0 4x +5x -6=0 (d)

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Q: Use geometry to show that (x2-y2)= (x+y) (x-y). Use a square in a square.

A: Consider the diagram:

Q: - 1 2x -7y-2 4x2y-4 Simpify:

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Q: 1. Complete the square to write y = -2 x2 + 16 x – 21 in the form y = a (x - h)² + k

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Q: Given that 6x + 2y = 0 and x² + y2 = 2(32 + xy) Calculate the value of x and y.

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Q: b) Plot the quadratic y=-2x² + 8x-8, where 0≤x≤ 4.

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Q: LJ-GI Solve for x and y. 3x 5y

A: 5-3x=-4x5ywhen two matrix are equal their corresponding elements are equal .

Q: y= 2x5-3, find y"" O 10x4 O 120 x² O 40x³ O none of these answers

A: To find derivative

Q: 1/2 dr V1-r2

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Q: z(Z-7) at z= 5

A: =z(z-7)substitute z=5=55-7=5-2=-10

Q: dt t² - 8t + 20 +2

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Q: 3. Find the intersection of ₁ and ₂: ₁2+ 4y-32= -9 ₂: 4r +9y+2z=-1

A: Given planes equations:- π1: x+4y-3z=-9π2: 4x+9y+2z=-1

Q: What is the resulting diagonalized

A: A quadratic form may be diagonalized by the following procedure: Find a variable x such that x2…

Q: Suppose XY is congruent to YZ. If XY is 8x + 8 and YZ = 2x + 18 what is the value of x? If needed,…

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Q: 14.ABCD is an isosceles trapezoid with legs AB and CD. And with Base BC. If AB = 6z - 5 and BC = 7z…

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Q: If w= = 3/4x

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Q: (x – a)² +y² = a²

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Q: Find the linear factors of 2x²-y-x + xy + 2y - 1.

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