3. Given the equation -5x+4y² 30x - 24y+ 11 = 0, - a) Perform a convenient translation of axes in order to eliminate the linear terms in x and y from the given equation; b) Identify the conic section corresponding to the equation obtained in item (3a); c) Find the main elements of the conic section from item (3b); d) Sketch the graph of the conic section from item (3b).

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

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Q: Identify the conic 9x2 – 4y² – 18x + 24y + 9 = 0. Determine the foci, center and end points of the…

A: Identify the conic 9x2-4y2-18x+24y+9=0 Determine the foci, center, and endpoints of the major and…

Q: Identify the conic section that equation 16x^2-96x+288=9y^2 represents and find either: a) it’s foci…

A: We use completing square method to convert it into standard form

Q: 15. x2 – 8x + 2y + 10 = 0 Equation:

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Q: (x − 6)²(y+3)² + 36 25 = 1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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

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Q: y2 + 6y + 8x + 25 = 0 --------- (1)

A: Note: Here we are solving 1st question. For reaming question please submit again. Given:…

Q: (x-3)² 1) 6-4)² =D1 16 196 (x+ 1)² ¸ (y – 8)² 3) 9. =D1 %3D 81

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Q: 2. Find the standard form of the equation of the ellipse satisfying the following conditions:…

A: The endpoints,  (−5,4) and ( 3,4), of the major axis (where the x coordinate changes) have a general…

Q: 3. Find the vertex, focus, and equation of the directrix for the conic given by (x + 1)² = -20(y -…

A: We have to find focus, vertex and equation of directrix.

Q: Find the equation of the ellipse in standard form centered with foci located at the (4, -5) and (-8,…

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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: 1) Identify the conic sections and graph: a) (x-5)^2/100-(y+3)^2/64=1 b) (x+7)^2/5^2+(y+3)^2/3^2=1

A: On comparing with the standard form x-h2a2+y-k2b2=1 The given equation is a ellipse with center (h,…

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

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Q: 11. Write the equation of the conic section in standard form. 7x² – 3y² – 70x –12y+142 =0

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Q: Explain what is the relation of the conic section to the given object.

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Q: 9. How can you determine the type of conic section represented by an equation in general form?

A: How can you determine the type of conic section represented by an equation in general form ?

Q: Use the information provided to write the general conic form equation of each hyperbola. 8)…

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Q: -8 -6 -4 19 4 2 19 ∞

A: Graph of the right open parabola is given, we have to find its equation

Q: what is the standard form of this conic section? 9x^2-4y^2-36x+8y-4=0    a. (x-2)^2 /2- (y-1)^2/9 =1…

A: Given equation is 9x2-4y2-36x+8y-4=0. To find the standard form of the given conic section.…

Q: Solve for the standard equation of the given characteristics of each conic then graph. Show complete…

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