what is the most important thing you learn about conics?

Q: What are the vertices and foci of the hyperbola (x - 9)2/25 - (y + 6)2/144 = 1 Show all work.

A: We have to find the vertices and foci of the given hyperbola.

Q: real-life word problems with solutions and explanations regarding conic sections (circle, parabola,…

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

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Q: Find an equation for the conic that satisfies the given conditions. hyperbola, vertices (-3, –4),…

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Q: The graphs of the conics intersect at two points. x² + y? = 9 = 1 4 What are the coordinates of…

A: To find the points of intersection ,first we find y2 from the two given equations and by  equating…

Q: Amie claims that the equation 4(x+3)' +y² =1 represents a circle with the center at (-3,0) and the…

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Q: Write the general conic

A: The standard equation of horizontal ellipse centered at h, k with semi major axis length a and semi…

Q: Write a step-by-step procedure on how to classify conic sections given their equation in general…

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Q: What are the foci of this conic section?

A: We have to find the foci of the given hyperbola.

Q: How do you write an equation of a sphere with a given center and radius?

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Q: Identify the conic represented by equation 4x2 - 9y2 - 8x + 12y - 144 = 0 without completing the…

A: Given 4x2 - 9y2 - 8x + 12y - 144 = 0

Q: FRIRMO

A: Let's find.

Q: 2. x + 6x = y² + 16y

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Q: What is the eccentricity of a conic section? How can you classify conic sections by eccentricity?…

A: Any conic section can be defined as the locus of points whose distances to a point (the focus) and a…

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

A: Types of conic section and general equation

Q: 5. Describe the conic section C whose equation is

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Q: Deandre, an engineering intern was asked by his fellow students to heip them determine the standard…

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Q: solve the following problems involving conic sections. illustrate the object represnting the conic…

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Q: find the vertices and foci of the conic section.  (x − 3/4)2+(y + 1/7)2= 1

A: x-342+y+172=1

Q: 4. 6리2x+6y-244-6-O

A: Given conic:                           6x2 - 12x + 6y2 - 24y - 6 = 0              =>        x2 +…

Q: 9(X-2) -36

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Q: What are conic sections?

A: Our Aim is to define conic sections.

Q: How to convert 3y^2-x^2-9=0 into standard form? I know it is a hyperbola.

A: Answer and explanation is given below..

Q: How do I find the focal points of this conic?  27x2+16y2+324x-96y+684=0

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Q: Explain what is the relation to the conic section

A: A conic section (or simply conic) is a curve obtained as the intersection of the surface of a cone…

Q: 2. Which conic section is represented by the équation 2x2 + 4x- y +9 = 0? O Hyperbola Ellipse O…

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Q: Classify the conic section of each equation.  Explain how you made your decision. 13. 4x2 + 3x = y2…

A: Topic = Conic section   The equation of every conic can be written in the following form:   Ax2 +…

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: identify the conic section. Find the vertices and foci.

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Q: find the vertices and foci of the conic section.

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Q: Introduction outline for hyperbola.

A: We have to find the introduction outline for hyperbola.

Q: Which conic section is represented by the equation 2x2 + 4x -y + 9+0

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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: How is the distance between vertices for hyperbola equal to 2a?

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Q: What does the eccentricity reveals about the conic?

A: We have to define what eccentricity reveals about the conic

Q: Identify the conic section that appears in the drawing of a wooden pencil in the figure.

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Q: How can you distinguish parabolas from other conic sections by looking at their equations?

A: Query- How can you distinguish parabolas from other conic sections by looking at their equations?…

Q: What are conic sections. Explain it.

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Q: I graphed 2x2 - 3y2 + 6y + 4 = 0 by using the procedure for writing the equation of a rotated conic…

A: The given equation is  2x2 - 3y2 + 6y + 4 = 0 . Note that there is no xy terms in the above…

Q: find the vertices and foci of the conic section.

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Q: 10. 25x2 - 9y2 = 144           11. x2 + y2 = 225           12. x2 + 3y2 = 3

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Q: What is an equation of a conic with the property that the distance of its points  from point (2,0)…

A: Givenpoint(2,0)line 2x-1=0

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

A: Given Hyperbola; Foci: (-4, 5), (2, 5); Vertices: (-3, 5), (1, 5)

Q: What is the length of the transverse axis of the hyperbola whose foci are (0, -5) and (0,5) , and…

A: The foci of Hyperbola are:   (0, -5)  and  (0, 5). Length of transverse axis of Hyperbola is:  2a…

Q: Find an equation for the conic that satisfies the given conditions. hyperbola, vertices (-1, -3),…

A: To find the equation of hyperbola that satisfy the following conditions- vertices(-1, -3) , (-1, 5)…

Q: Determine the equation of the conics shown below

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Q: Deandre, an engineering intern was asked by his fellow students to heip them determine the standard…

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