Determine the length of the latus rectum of the following conic section: 16z + 9y? - 64.x- 54y+1 0 O 4.5 units O 2.25 units O 2 units O units

Q: h the following conic sections: y2 -4y +8-4x = 0 %3D

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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: Rewrite to standard form by completing the square and identify the conic: a) x² +16y² - 10x +96y +…

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Q: Choose the type of the conic section. O hyperbola O parabola

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

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Q: Find the equations of the following conics and quadric surfaces relative to principal axes. 3x² +…

A: The answer provided below has been developed in a clear step by step manner

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: Given: 9x + 44? 54x-84+61=D0 I den tify the conic section State the shifts from the Standad form.

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Q: 42 - 8r - 16,

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Q: entify the coni

A: Given,           x2+16y2-160y+384=0

Q: 3. A football is in the shape of a solid obtained by rotating an ellipse = 1 about its major axis.…

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Q: Identify the type of conic section whose equation is given and find the vertices and foci. y? – 2 =…

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

A: Given the equation of conic

Q: Given the equation: 2x? + 3y? – 6x +6y = 12 Identify the conic and explain how you know.

A: Given: 2x2+3y2-6x+6y=12To identify the given conic: