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

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Q: dt t² - 8t + 20 +2

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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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