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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Q: Find the equation of the conic in the rotated system that eliminates the cross-product term and find…

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Q: Match each equation to the conic section it creates. (x+5)² 25 a. + (y-2)² 4 b. 3x³ + 4y = 25 d. = 1…

A: a. The standard equation of a ellipse is (x+x0)2a2+(y+y0)2b2=1.So (x+5)225+(y-2)24=1  is equation of…

Q: 4x2+y2-16y+8y+16=0 Identify the conic section by rewriting it in standard graphing form.

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Q: Find an equation of the parabola drawn below: 2 Xx Select one: O a. (x + 2)2 = 2 (y + 2) O b.…

A: We have to find the equation of parabola.

Q: Write the equation in standard form 4y2-9x2-18x-8y-41=0

A: 4y2-9x2-18x-8y-41=04y2-8y-9x2-18x-41=04y2-2y-9x2-2x=41y-129-x--124=1y-1232-x+1222=1 The equation…

Q: The conic section with equation 2 9 + y² = 1 is: 16

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Q: Use the Principal Axes Theorem to perform a rotation of the axes to eliminate xy term in the…

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Q: Classify the conic first, and then conv equation to standard form

A: The equation of given conic is -2x2+5y2+24x-20y-102=0 ......................(1)             Compare…

Q: Consider the following. 409x² + 576xy + 241y² = 625 (a) Use the discriminant to determine whether…

A: The equation is given as,

Q: For the equation, 9x² +8/3xy+y²-8=0, complete the following questions. a. Rewrite the equation in a…

A: The general form of a conic equation is Ax2+Bxy+Cy2+Dx+Ey+F=0, where A, B, C are not equal to 0.