Find an equation for the conic section with the given properties. The ellipse with center C(3, -1), vertices V1(-7, -1) and V2(13, –1), and foci F1(-3, –1) and F2(9, -1)

Q: Identify and find the equation of the conic in standard form: vertices at Vi(12, 4) and V2(-10,4),…

A: Given: Vertices: V1 = (12,4) ,  V2 = (-10,4) Foci : F1 = (10,4)  F2 = (-8,4)

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: Write the equation of the ellipse in standard rectangular form that has foci at ( 2 , − 2 ) a n d (…

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Q: 3. URCLE CENTER: (3,4) PASSES THROUGH THE ORIGIN

A: General form of an equation of a circle,          (x—h)² + (y—k)² = r² (h, k) is the center of the…

Q: Find the equation of the ellipse with foci and 0, and vertices (0, - 2) and (0,2). O x? y2 1 4 %3! O…

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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: 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: Write the conic equation for the ellipse and show work of how you came to find each aspect of it

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Q: 9(X-2) -36

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Q: Write the equation in standard form, identify the conic and the location of its center or vertex:…

A: We have to find the equation of the conic.

Q: Identify the conic give the center or vertex. 3x2 + y2 – 18x + 2y + 29 = 0 O ellipse center (,) 3 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: Find the equation of the following conic in GENERAL form. V (3, -2), ends of latus rectum (-2, ½)…

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Q: Find an equation for the conic that satisfies the given conditions. Ellipse, foci (±2,0) , passing…

A: Given problem is : Find an equation for the conic that satisfies the givenconditions. Ellipse, foci…

Q: (x + 2)²² 9 + 2 (y − 1) 25 = 1

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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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Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.