O Does the origin lie inside or outside the ellipse with equation (x – 4) 2 + 4(y - 3) 2 = 4?

Q: Write the equation of the hyperbola 25x? – 9y? + 100x + 72y – 269 = 0 in standard form (z – h)? (y –…

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Q: Determine the general form of equation of an ellipse whose standalu (x-2)2 (y+3)2 + = 1. 9 4 1.…

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Q: Write the equation of the hyperbola 4x2 – 25y? + 8x + 250y – 721 = 0 in standard form (x – h)? (y –…

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Q: Write the equation of the hyperbola 9x² - 36y2 - 18x144y - 459 = 0 in standard form (x - h)² (y -…

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Q: Solve the components of the given equation of conic sections and sketch the graph: а. 9y? — 4x2 +…

A: In this question we have to solve the following question.

Q: Consider the ellipse A. (-5,1) (x-5)² 256 (y-7)² 400 B. (-5,-1) 1. One of the foci is at (-5,15). At…

A: Given equation:- x-52256+y-72400=1

Q: Write the equation of the hyperbola 16x² - 9y² +96x - 72y - 144 = 0 in standard form Where: h = k= a…

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Q: Which equation does not represent an ellipse? A B C D 4+4-1 (x + 1)² 3 (x + 1)² 3 + (v-5)² 7 (v-5)²…

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Q: Write the equation of the ellipse 9x2 + 25y² – 54x – 50y – 119 = 0 in standard form (x – h)² (y –…

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Q: 1. A parabola has equation -12x + y? – 24 = 0. Write the equation in standard form.

A: The equation of the parabola is, - 12x + y² - 24 = 0 So, y² = 12x + 24

Q: (금)-(부)' h k Write the equation of the hyperbola in standard form 1 2-

A: Find your answer below

Q: in general form x² – 2x – 6y – 5 = 0? 5 A B y- -

A: The given equation of the parabola is: x2-2x-6y-5=0⇒6y=x2-2x-5⇒6y=(x2-2x+1)-6⇒6y=(x+1)2-6…

Q: The conic section with equation 2 9 + y² = 1 is: 16

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Q: (y+1)? (x-2)2 2.Find the standard equation of the hyperbola whose standard equation is 9. %3D 16

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Q: 0 = 3x2 – 6x+4y² – 16y+18 is an ellipse. True False

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Q: The parabola described in the equation y = 2(x - 4)2 + 3 has the directrix at y = -1. The focus of…

A: As per the guidelines we are supposed to solve one question at a time. Please repost other questions…

Q: Adjust h, k, and t to reproduce this picture, only with your ellipse being purple instead of green.…

A: Note: According to Bartleby guidelines; for more than one question asked, only the first one is to…

Q: 42 - 8r - 16,

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Q: Sketch and identify the graph of the equation x² + y² – 2y – 3 = 0 in 3D.

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Q: f the equation (5x - 1)² + (5y - 2)² = (y²-2y+1) (3x + 4y - 1)² represents an ellipse then find…

A: Introduction: An ellipse is the locus of all those points in a plane such that the sum of their…

Q: graph the ellipse given by the equation 36x2 + 16y² + 144x – 160y – 32 = 0?

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Q: Is the student's analysis correct? Why or why not? Select all correct statements. The analysis is…

A: This is in fact a hyperboloid of two sheets.The standard equation of which is given by .Now the…

Q: Graph the hyperbola (y+3)2/16-(x+6)2/4=1

A: The given equation is (y+3)2/16-(x+6)2/4=1.

Q: Determine the ends of the minor axis of the following ellipse: .(x+3)² (y+4)² = 1 16 25 O (-7, -4)…

A: Use ellipse concept

Q: Write an equation of the parabola with its vertex at (x, y) - (3, 9) and focus at (x, y) (3,-2).

A: The parabola has vertex at (h,k)= (3, 9) and focus at (h,k+a)= (3, -2) Hence axis of symmetry is x=3…

Q: parabola passes through (15,0) (25,30) (35,80). find the equation of the parabola in the form…

A: Given: A parabola passes through (15,0) (25,30) (35,80). To find:- The equation of the parabola in…

Q: 2. Which of the equations below also represents the parabola y=-3x² 18x + 16? Oy=3(x+3)² +65…

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Q: Write the equation of the hyperbola 9x² – 4y? – 54x + 32y – 19 = 0 in standard form (x – h)? (y –…

A: Write the equation of the hyperbola  9x2 - 4y2 -54x +32 y  -19 =0 In the standard form  (x-h)2 /a2 -…

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.