Identify the conic sections represented by the following formula a) 2x2 – 8xy + 4x = 12 b) x? + y - 4x + 2y – 20 = 0 c) 4x? – y? = 16 d) x? – 4x + 8y - 20 = 0 e) 16x? + y = 64

Q: Find the center, foci, vertices, asymptotes, and radius, as appropriate, of the conic section x2 -…

A: Explanation: Given that: x2-y2-2x+4y=4     Concept Used: The standard form of a hyperbola:…

Q: The quadric surface, * - a - = 1 l is a hyperboloid %3D 64 None of these of one sheet that opens…

A: The given quadratic surface is: x24-y264-z216=1

Q: What is the relation of the conic section to the vase?

A: Let's find.

Q: 2. 3x + 5y? - 6x - 20y + 25 = 0 3. 9x2 + 4y2 - 54x - 16y + 97 = 0 4. 6x2 - 4y? - 12x – 16y

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Q: What specific (include direction/opening and vertex/center) conic section is 4x + y + 72x + 14y +…

A: topic- algebra

Q: 1- Sketch the following conic sections: y2 -4y+8-4x² = 0 %3D a-. .2 b- .2 y-4y-4x =8 a 3(y – 5)2 –…

A: As per our company guidelines, we are supposed to answer only the first three subparts. Kindly…

Q: Find the center, foci, vertices, asymptotes, and radius, as appropriate, of the conic section y2 -…

A: y2-4x2+16x=24 On simplification, we get…

Q: Decide which of the following equations may represent a circular conic section? Determine the…

A: The general equation of circle is : x-h2+y-k2=r2where centre =(h,k)             raduis =r

Q: Find the center, foci, vertices, asymptotes, and radius, as appropriate, of the conic section......…

A: Find the center, foci, vertices, asymptotes, and radius, as appropriate, of the conic section.…

Q: Determine the distance between the foci of the following conic section: 16x2 + 9y- 64x 54y+1 = 0

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Q: -9 81 -2 9 8 7 6 Which best represents the equation of the graphed conic section?

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Q: Find the standard form of the equation of the conic section satisfying the given conditions,…

A: Given focus is (-2,6) and the directrix is x=8.

Q: Determine the type of conics for each equation using the discriminant. 24. 4x2+y2 +24x-4y+36 = 0 25.…

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Q: Determine which of the conic sections is represented by 4x² + 14xy + 5y² + 18x − 6y +30 = 0

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Q: ____ is the distance between the center and the vertices of the conic section whose equation is 9x^2…

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Q: 2. a) Identify the conic, write in standard form and graph it: 16x? + 4y² – 64x – 24y + 36 = 0. b)…

A: a) Given: 16x2+4y2-64x-24y+36=0   To find: Standard equation of conic curve and graph it.

Q: Identify the type of conic from the discriminant.* x²+2xy +y² + /2x-/2y-2=0, 6=45° ANSWER: BIlank 1…

A: Given problem Given that   General equation of the conic : Ax2+Bxy+Cy2+Dx+Ey+F =0 Discriminant is…

Q: The conic section whose equation is 3x 2 - y 2 - 27 = 0 has a latus rectum equal to 9 18 6

A: Given:  Conic section : 3x2-y2-27=0  To find latus rectum

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: Which of the following conic sections could be formed when a plane intersects a cone at a shallow,…

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Q: 2. Identify the conic as a hyperbola, parabola, or ellipse and find the foci (c) 4x = y? %3D

A: identify the conic and use the equation to find the focus,

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

A: 16x2+9y2-64x-54y+1=016x2-64x+9y2-54y=-116(x2-4x)+9(y2-6y)=-116(x2-4x+4)+9(y2-6y+9)=-1+64+8116(x-2)2+…

Q: Show that the “conic section” with equation x2 − 4x + y2 + 5 = 0has no points.

A: Equations for conic sections are obtained as the locus of points following one or a set of…

Q: Name the conic that has the given properties and find its Cartesian equation. Vertices (±2, 0) and…

A: The standard form of the hyperbola with center at origin is .  Here, are the vertices and…

Q: 1- Sketch the following conic sections: 2-4y+8-4x2- b- y2 -4y-4x2 = 8 C- 3(y-s)2 -7(x+1)2 =1

A: As per our guideline we are allowed to do 1 question or 3 subparts at a time. Please post other…

Q: Identify the conic section given by the following equation. æ? + 30x – 4y? – 168y – 1639 - Select…

A: Please refer the attached image for complete solution.

Q: Identify the conic sections represented by the following formula a) 2x^2– 8xy + 4x = 12 b) x^2 +…

A: Given query is to find the equations which represents conic (circle).

Q: Find the center, foci, vertices, asymptotes, and radius, as appropriate, of the conic sections in…

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: The length of the major axis of the cllipse with center (-4, 1), minor axis parallel to the y-axis…

A: Equation of ellipse with center (-4,1) is given by

Q: O Reduce the equation x + 2ry +y +4 V2x - 4V2y = 0 to the standard form and hence %3D identify the…

A: The given equation is x2+2xy+y2+42x-42y=0

Q: What is the general equation of the conic section passing through the points  A(0,1), B(2,3),…

A: Given points A(0,1), B(2,3), C(5,4), D(1, −2), E(4, −1)   General equation:  ax2 + bxy + cy2 +…

Q: 4. Classify the following conics as a circle, parabola, ellipse or hyperbola and explain why. a) 9x?…

A:

Q: Find the eccentricities of each of the conics given below. (a)        y = 4x2 − 2019x + 83 (b)…

A: Given that: (a)        y = 4x2 − 2019x + 83 (b)      x2/42 + y2/62=1 (c).     x2/42 − y2/62=1

Q: Identify the type of conic, assuming a > O: a V5 - coso O Ellipse. Parabola. O Hyperbola.

A: Please refer the attached image for complete solution.

Q: Determine the length of the latus rectum and distance between the foci of the conic section: 16x^2…

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Q: There is one point of intersection in the graphs of the conic (z + 1)² + (y + 2)² = 16 (y+ 2)° = 4…

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Q: What are the intersections of the conic section formed by the points A(0,1),B(2,3),C(5,4),D(1,…

A: Below are graph and input view.

Q: In Exercises 7-30, identify the conic as a circle or an ellipce Then find the center, radius,…

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Q: In the conic section r2 36y, what is the distance between the focus and the center? %3D 0 6 O 12 O…

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Q: And identify what conic section  -x^2+4y^2-8y-96=0

A: Given -x2+4y2-8y-96=0

Q: Determine the type of conics for each equation using the discriminant. 27. y2-x-10y -3 0 28. x2-2y2…

A: Solution is given below:

Q: Given: 3a – 6x + 2y + 8y- 1= 0. Identify the conic and give its foci.

A: Follow the procedure given below.

Q: 10. Find the required information and graph: 2x + 2y + 2x + 14y + 17 = 0 Classify the conic section:…

A: Consider the provided equation, 2x2+2y2+2x+14y+17=0 Classify the conic section and find the center.…

Q: graph the conic with the formula r=4/4+2cos(theta)

A:

Q: Which of the following conic sections could be formed when a plane intersects both cones of a double…

A: Given.

Q: (a) What is the eccentricity of a conic section?

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Q: Find the required information and graph: 7x² + 3y2 - 42x + 6y – 39 = 0 Classify the conic section:…

A: The conic function 7x2+3y2-42x+6y-39=0. We have to find the following requirements...