For Exercise, identify each equation as representing a circle, an ellipse, a hyperbola, or a parabola. • If the equation represents a circle, identify the center and radius. • If the equation represents an ellipse, identify the center, vertices, endpoints of the minor axis, foci, and eccentricity. • If the equation represents a hyperbola, identify the center, vertices, foci, equations of the asymptotes, and eccentricity. • If the equation represents a parabola, identify the vertex, focus, equation of the directrix, and equation of the axis of symmetry. (x − 3)2 + (y + 7)2 = 25

Q: In an ellipse, the foci are at (-4, 3) and (4, 3) and one vertex is at (6, 3). How long is the major…

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Q: For Exercise, write the standard form of an equation of an ellipse subject to the given conditions.…

A: Given:

Q: Analyze the equation. That​ is, find the​ center, vertices, and foci of the​ ellipse, and graph it.…

A: the equation. That​ is, find the​ center, vertices, and foci of the​ ellipse

Q: 5. Find the Foci and Vertices of the Ellipse and sketch it, if the Equation is 16x? + 64y? = 256

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: In the given equation as follows , classify the graph of the equation as a circle, a parabola, an…

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Q: For Exercise, a. Identify the equation as representing a circle, an ellipse, a hyperbola, or a…

A: a)For the given equation simplify it and compare with standard forms of conic sections to determine…

Q: . State whether the graph of the equation below is an ellipse, circle, parabola, or hyperbola, -4x…

A: The given equation is -4x2+y-10x+10=0

Q: Write the equation for a parabola with axis of symmetry: x=3, focus: (3, -1) and directrix: y=-7.

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Q: Give the coordinates of the center, vertices, covertices, foci, orientation, lengths of major and…

A: Given:            The equation of an ellipse a) (x - 3)236 + y + 22100 = 1b) 9x2 + 25y2 - 18x + 100y…

Q: Locate the vertex, the focus and ends of the latus rectum and find the equation of the directrix,…

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Q: For Exercise, identify each equation as representing a circle, an ellipse, a hyperbola, or a…

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Q: John is planning to build an arched trellis for the entrance to his botanical garden. The arch is to…

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Q: Graph the ellipse and give the location of its foci.

A: We have the given equation as (x-4)24+y225=1 It can also be written as (x-4)24+(y-0)225=1   the…

Q: For Exercise, a. Identify the equation as representing a circle, an ellipse, a hyperbola, or a…

A: (a)

Q: Identify each equation.If it is a parabola,give its vertex,focus,and directrix;if it is an…

A: The given equation is  4x2-y2=8x22-y28=1 which is of the form x2a2-y2b2=1 and hence it is equation…

Q: If ( 4x + 9y- 34 = 2) is the equation of ellipse, its center in the origin point, find the…

A: Given equation of ellipse is: 4x2+9y2-34=2 It can be re-written as:…

Q: give equations for parabolas and tell how many unitsup or down and to the right or left each…

A: We have given equation of parabola is y2=4x Graph shifted left side by 2 units, that means there is…

Q: Analyze each equation. That​ is, find the​ center, vertices, and foci of each ellipse and graph it.…

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Q: Complete the sentence below. If the center of an ellipse is (3, – 4), the major axis is parallel to…

A: To find :coordinates of vertex of ellipse

Q: Find an equation for the ellipse whose vertices are at (-8-2) and (0-2), and focus is at (-2-2)…

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Q: For Exercise, write the standard form of an equation of the ellipse subject to the given conditions.…

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Q: For Exercise, a. Identify the equation as representing a circle, an ellipse, a hyperbola, or a…

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Q: Identify the equation as a circle, a parabola, an ellipse,

A: Introduction: If an equation of the conic section is ax2+by2+cx+dy+e=0. If, here a=b, then this is a…

Q: For Exercise, identify each equation as representing a circle, an ellipse, a hyperbola, or a…

A: We divide both sides by -1.So it is an equation of circle.

Q: Identify each equation.If it is a parabola,give its vertex,focus,and directrix;if it is an…

A: Given equation is : 9x2 + 4y2= 36 Dividing above equation by 36, 936x2+436y2=3636 x24+y29=1 --- 2)…

Q: For Exercise, identify each equation as representing a circle, an ellipse, a hyperbola, or a…

A: Given equation is

Q: For Exercise, identify each equation as representing a circle, an ellipse, a hyperbola, or a…

A: Consider the provided equation,

Q: Identify each equation.If it is a parabola,give its vertex,focus,and directrix;if it is an…

A: The given equation is of ellipse,  y225+x216=1comparing with the general equation of…

Q: For Exercise, write the standard form of an equation of an ellipse subject to the given conditions.…

A: Given,

Q: find the vertices, foci, center (if an ellipse or a hyperbola), and asymptotes (if a hyperbola). y =…

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Q: State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola. 4x² – 3x – 8y?…

A: x2-3x-8y2-4y=14 The x2 and y2 terms have different signs and different coefficients. So, it is a…

Q: 4x' 16х — 9у* + 20

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Q: For Exercise, a. Identify the equation as representing a circle, an ellipse, a hyperbola, or a…

A:

Q: For Exercise, a. Identify the equation as representing a circle, an ellipse, a hyperbola, or a…

A: The equation Ax2 +B xy + Cy2 + Dx +Ey +F = 0 represents:

Q: For Exercise, identify each equation as representing a circle, an ellipse, a hyperbola, or a…

A:

Q: For Exercise, identify each equation as representing a circle, an ellipse, a hyperbola, or a…

A: This is an equation of parabola.

Q: An arch is in the form of a semi-ellipse, with its major axis as the span. If the span is 80 feet…

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Q: A- Sketch the graph of ellipse: - (x-1)2 + y? = 0. 4

A: A) we use the standard forms (x-h)2a2+(y-k)2b2=1 The center of the ellipse is (h,k). Now, to compare…

Q: Given the equation of the ellipse, list the coordinates of the center, vertices, co-vertices and…

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Q: 2x2 + 8ху + 8у? + 12х + 24у+18 %3D 0

A: 2x2+8xy+8y2+12x+24y+18=0⇒x2+4xy+4y2+6x+12y+9=0⇒x+2y2+6(x+2y)+9=0let x+2y=tt2+6t+9=0it can rewritten…

Q: Give the characteristics below, write the standard form equation for the hyperbola and graph.…

A: Characteristics of Hyperbola : The standard form of the equation of a hyperbola with center  ( h, k…

Q: Determine the a) vertex, b) focus, c) directrix, d) axis of symmetry, and e) opening of the parabola…

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Q: Classify the equation as a circle,an ellipse,a parabola,or a hyperbola then graph

A: 25x2+4y2=100x24+y225=1x222+y252=1Ellipse equationx2a2+y2b2=1hence given equation is an ellipse…

Q: For Exercise, write the standard form of an equation of an ellipse subject to the given conditions.…

A:

Q: For Exercise, a. Identify the equation as representing a circle, an ellipse, a hyperbola, or a…

A:

Q: For Exercise, a. Identify the equation as representing a circle, an ellipse, a hyperbola, or a…

A: Given equation is

Q: For Exercise, a. Identify the equation as representing a circle, an ellipse, a hyperbola, or a…

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