For the equation, 10x2 +9√3xy+y2-6=0, complete the following questions. a. Rewrite the equation in a rotated x'y'-system without an x'y'-term. Use the appropriate rotation formulas b. Express the equation involving x' and y' in the standard form of a conic section. c. Use the rotated system to graph the system. a. The equation in a rotated x'y'-system is (Simplify your answer.)

Q: Write the equation of the hyperbola 25x? – 9y? + 100x + 72y – 269 = 0 in standard form (z – h)? (y –…

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A: here we have to find  the equation (in standard form) of the parabolic arch formed in the foundation…

Q: Draw the hyperbola with the equation: 3x? – 2y² + 6x – 8y = 6.

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Q: state the type of conic section represented by the equation. Then, graph each equation. Please show…

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Q: 5x² - 7y² - 5z² = 1

A: The equation is

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A: We will solve the problem.

Q: а. Center: h %3D k = b. Foci: c. Vertices: d. Co - vertices: e. Equation of the ellipse: and and a =…

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A: Given the quadratic equation

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A: Graph of the ellipse is given, we have to find its equation.

Q: Identify the conic by writing its equation in standard form. Then sketch its graph. y² - 4y - 4x = 0…

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Q: Adjust h, k, and t to reproduce this picture, only with your ellipse being purple instead of green.…

A: Note: According to Bartleby guidelines; for more than one question asked, only the first one is to…

Q: (a) (y – A)2 (x – C)? = 1 B2 D2 where A = where B = where C = where D =

A: We will use standard equation for ellipse.

Q: Arrange the parabolas represented by the equations according to the positions of their foci on the…

A: The standard form of a parabola is  (x – h)2 = a(y – k) where (h, k) is the vertex.

Q: Find an equation of the Parabola that has focus 11. (-2,3) and Directrix y = A. (x + 2)² = 4 (y - 7)…

A: Topic:- geometry

Q: y² - 4x - 2y = 7

A: Introduction: If a parabola has a horizontal axis, the standard form of the parabola equation is (y…

Q: Identify this conic, list the necessary parts and then graph it: 2x2 +2y2 +8x=7

A: Given the equation of conic

Q: 12. Write each equation in standard form. Identify the related conic. 4x + 8y-8x +48y+44 0

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Q: 5. Write the equation into the standard form of the equation of the parabola: y? + 12y = 1– x.…

A: .