Given that the length of the string is 2a and the distance between the string's endpoints is 2c, prove that the length of the major axis ("2b") is 2 √a^2 - c^2

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: Express as a polynomial.

A: Here given as 4z4-3z2+1-zz3+4z2-4

Q: Solve the Gmoar Equation System, Find 1,X2,X3. X(+Xz-2 X3 =17 X2- X3 =2 C Carcansy ile tardndı

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Q: Find two positive real numbers such that they add to 40 and their product is as large as possible.

A: Our Aim is to find two positive real numbers a and b such that they add to 40 and their product is…

Q: e down a polynomial of degree exactly 4 that interpolates the four points: (-1,-5 1), (2, 1), (3,…

A: We have to find the polynomial equation from given points.

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)…

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Q: Match the items in colu A wh the equations of the quadratie fnctions in oolum Column A Colume A…

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Q: find the quadratic polynomial whose zeores are (I) 3,-4 (ii) 2,1

A: Given problem is : find the quadratic polynomial whose zeroes are (I) 3,-4 (ii) 2,1

Q: Explain the other notation which is commonly used for ak in the Newton form of the interpolating…

A: The Newton interpolation polynomial are calculated as: \

Q: Explain the problems with the Lagrange form of the interpolating polynomial?

A: Lagrange polynomials are used for polynomial interpolation.

Q: x² + 2x - 7 1) has how many terms? 2) what degree a polynomial is it?

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Q: j) x(x+2)+

A:

Q: What is the vertex of the quadratic, 3x - 12x - 1 = f (x) O (4.082,0) O (2, -13) (3,1) O (4,-1)

A: Given, The quadratic expression fx = 3x2-12x-1 We have to find its vertex.

Q: Find all the zeros and their multiplicities of x5 + 4x4 + 4x3 - x2 -4x + 1 over Z5.

A: Residues and zeroes of the polynomial

Q: the smallest possibl product of the two numbers x>= 0 and y<= 0, such that 2x-y=120 is:

A: Let x and y be two numbers such that  x≥0,y≤0, 2x-y=120y=2x-120

Q: If (2x-1) is a factor of the polynomial p(x)=2x^3-3x^2+kx+6, then the value of k is: a) k= -6 b)…

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Q: Let a be a real number. What is the equation of the line that goes through (1,2+ a/2) and is…

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Q: 3. Write down the polynomial having coordinates in B and the one with the same coordinates in B'.

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Q: Q3) Write in factor form a 5h degree polynomial whose zeros are +2, -2 and 4 with multiplicity 3

A:

Q: After seeing that line AB was perpendicular to the given line, why were each of the polynomials…

A: Given:- Line x=3t+1,y=-t+3,z=6t and point A-6,7,8

Q: Does (Z11 , + , .) have subfields? In this case which subfields.

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Q: Find the rule of the quadratic funtcion whose graph satifies the following conditions: The vertex is…

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Q: The city will pay to have soft pavement made of recycled tires installed in the playground. In the…

A: x=longer  side y=x-15=shorter side and the area is A=324 the area of the rectangle is given by…

Q: The best-fit quadratic is y = (round your coefficients to 2 decimal places)

A: Input 3 6 8 9 10 Output 79 51 -18 -57 -88

Q: Which function does not classify as a polynomial? a) y=-3 b) 5x^1/2 c) y=2x^2 -1 d) -2x^7

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Q: Help

A: Part (a): Finding the polynomial of degree 5 Step 1: GivenTo find the polynomial P(x) that passes…

Q: Which function is not quadratic? (O Ax) = (6x+ 9) -9 ()-x(x-9)(6x + 8) U Ax) = 7x + 8 Ax) = 6(x- 9)2

A: We have to check

Q: If BD = p- 7 and BF = 6p - 97, find BF in parallelogram CDEF. D. BF C.

A: Given : CDEF is a parallelgram  The diagonals of a parallelgram are bisected by the point of their…