Graph each ellipse. Identify the center, vertices, co-vertices, foci, the length of the major axis and the length of minor axis. 4x^2-16x+12y^2+72y+123=0

Q: Write an equation for each hyperbola. 6.

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Q: Write the stabdard form equation of each hyperbola. Vertices (0,-4) and (0,4) foci (0,-5) and (0,5)

A: To write the standard form equation of each hyperbola :- Explanation: There are two types of…

Q: graph each ellipse. 4x2 + 9y2 - 54y + 45 = 0

A: To graph the ellipse: 4x2+9y2-54y+45=0 Standard form of an equation of ellipse is x-h2+y-k2=C…

Q: 7.

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Q: Write each equation in standard form. State whether the graph of the equation is a parabola, circle,…

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Q: nd the center, foci, ends of major quation of the ellipse is

A: Explain and find the center , foci, , ends of major axis, end of minor axis, vertices and the…

Q: Identify the center, the vertices, and the foci of the ellipse. 4x²+y²–16x – 6y +21=0 口 | Center :…

A: Given ellipse equation is 4x2+y2-16x-6y+21=0We can now get it to the standard form i.e.…

Q: Graph the ellipse 25x2 + 4y2 = 100 and locate the foci.

A: Given information: Equation of ellipse The standard form of an ellipse,

Q: find the length of the major axis and the length of the minor axis of each ellipse. 4x2 + 25y2 = 100

A: To find the length of the major axis and the length of the minor axis of each ellipse.         4x2 +…

Q: graph each ellipse. 25x2 + 150x + 4y2 - 8y + 129 = 0

A: 25x2 + 150x + 4y2 - 8y + 129 = 0

Q: Graph each ellipse. Identify the center, vertices, co-vertices, foci, and the length of the major…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Write the standard form equation of each ellipse.

A: Explanation of the answer is as follows

Q: Graph each ellipse. Identify the center, vertices, co-vertices, length of major axis, length of…

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Q: Graph the ellipse 4x2 + 25y2 = 100 and locate the foci.

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Q: graph each ellipse. 4x2 - 16x + 25y2 - 50y - 59 = 0

A: Given, 4x2-16x+25y2-50y-59=0 Standard form of equation of ellipse is, x-h2+y-k2=c  Center: h,k Use…

Q: Graph the ellipse 6x2 = 30 - 5y2 and locate the foci.

A: Consider the equation of ellipse: 6x2=30-5y2. Convert the equation of ellipse in the standard form…

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: Write the stabdard form equation of each hyperbola. Vertices (-5,0) and (5,0) foci (-7,0) and (7,0)

A: Given that vertices ±a,0=±5,0 and foci ±c,0=±7,0 where center is (h, k).

Q: graph each ellipse. 4x2 + 8x + 16y2 - 64y + 4 = 0

A: Given that, 4x2 + 8x + 16y2 - 64y + 4 = 0 Group x and y terms (and constant term) separately as (4x2…

Q: graph each ellipse. x2 + 4y2 = 36

A: x2+4y2=36

Q: Decide if the equation defines an ellipse, a hyperbola, a parabola,or no conic section at all. 4x 2−…

A: An equation has to have x2 or y2 to be an equation of any conic sections. If, in an equation neither…

Q: graph each ellipse. x2 + 4y2 = 16

A: The equation of the ellipse is, x2+4y2=16. Write the equation in standard form. x2+4y2=16x242+y222=1…

Q: Write the stabdard form equation of each hyperbola. Vertices (0,1) and (4,1) foci (-1,1) and (5,1)

A: Given,Vertices: (0,1) and (4,1)foci: (-1,1) and (5,1)Now,distance between…

Q: Graph each ellipse. Identify the center, vertices, co-vertices, length of major axis, length of…

A:

Q: Graph each ellipse. Identify the center, vertices, co-vertices, length of major axis, length of…

A: x-1216+y-424=1 x-1242+y-4222=1 compare this equation with the standard equation of an ellipse…

Q: find the length of the major axis and the length of the minor axis of each ellipse. 16x2 + y2 = 64

A: An ellipse is a closed figure whose general equation is of the form (x-h)2a2+(y-k)2b2=1 wherein the…

Q: graph each ellipse. 4x2 - 24x + y2 + 4y + 24 = 0

A: 4x2 - 24x + y2 + 4y + 24 = 0

Q: Write an equation for each ellipse.

A: The standard form of the ellipse helps to find the required equation of the ellipse. The standard…

Q: graph each ellipse. 5x2 + 4y2 = 20

A: We have to plot the graph  of the ellipse 5x2+4y2=20 We can  write this equation x222+y252=1

Q: Decide if the equation defines an ellipse, a hyperbola, a parabola,or no conic section at all. 4y 2…

A: Given equation is 4y2+9x2=12. To determine whether the equation defined an ellipse, a hyperbola,…

Q: graph each ellipse. 25x2 + 2y2 = 50

A:

Q: Write an equation in standard form of the ellipse described. Center at (4, 3); passes through (9, 3)…

A: Given data: The given center is (h,k)=(4,3). The first point through which ellipse passes is (x1,…

Q: Write the standard form equation for each ellipse described. Foci (0,8) and (0,8) and vertices…

A: The objective is to write the standard form equation for each ellipse. Given foci 0,8 and 0,-8,…

Q: Decide if the equation defines an ellipse, a hyperbola, a parabola,or no conic section at all. −4x +…

A: Decide if the equation defines an ellipse, a hyperbola, a parabola, or no conic section at all.…

Q: Write an equation in standard form of the ellipse described. Center at (3, 6); passes through (3,…

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Q: Determine the equation of the ellipse with foci (-8, 14) and (-8, -16), and co- vertices (0, -1) and…

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Q: 10 Vertex: (-3, 0), Focus: parabola. (-47.0) 16

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Q: graph each ellipse. 9x2 + y2 = 36

A: Standard form of the ellipse with the center (0,0) is x2b2+y2a2=1, where a>b, the coordinates of…

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

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Q: Write the equation of each parabola in vertex form.

A: Given,           Vertex : (3,-2) = (h,k)           Point : (2,3)

Q: graph each ellipse. 4x2 + 3y2 = 12

A: Here we have to graph the ellipse,  4x2+3y2=12 .........(1)

Q: Graph each hyperbola. Identify the center, vertices, and points. -4x^2-16x+y^2-2y-19=0

A:

Q: find the length of the major axis and the length of the minor axis of each ellipse. 9x2 + 72x + 4y2…

A: Given- 9x2+72x+4y2-8y+112=0 To Find- The length of the major axis and the length of the minor axis…

Q: the equation of an ellipse whose foci a

A:

Q: graph each ellipse. 12x2 + y2 = 36

A: 12x2+y2=36⇒12x2+y236=1⇒12x236+y236=1⇒x23+y236=1⇒x232+y262=1 Now comparing with x2b2+y2a2=1, we get…

Q: graph each ellipse. 9x2 - 36x + 4y2 - 24y + 36 = 0

A: 9x2 - 36x + 4y2 - 24y + 36 = 0

Q: Write the standard form of an equation of an ellipse with center (h, k )and major axis vertical.

A: The standard form of the equation of an ellipse with centre ( h, k) and major axis parallel to the…

Q: graph each ellipse. x2 + 2x + 4y2 - 15 = 0

A: Here given x2 + 2x + 4y2 - 15 = 0 Put x=0 to find y- intercepts y=±215 Put y=0 to find…

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.