Identify the vertices, center, co-vertices, foci, length of major axis, and  length of the minor axis of the equation: 3x2+35y2-60x+140y-85=0?

Q: What is the length of the major axis of ellipse given by the equation X^2/81+ Y^2\144=1 ?

A: Given equation of ellipse is: x281+y2144=1

Q: Find the center C and radius r of the circle defined by the equation: x+y+12x-2y-3%3D0.

A: Compare the given equation of circle to the standard form of equation and than determine centre and…

Q: Identify the center, vertices, co-vertices, foci, major axis, and minor axis of:

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Q: Find the coordinates of the centre and the radius of the circle described by the ollowing equation:…

A: Follow the procedure given below.

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: Find the intercepts and graph in the first octant the equation 4x + 8y = 16. If an intercept does…

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Q: Graph the ellipse by finding the center, vertices, co-vertices, and foci: 6. 9x2 + 16y? - 36x -…

A: Here, the given equation is:…

Q: find the vertex, directrix, and focus  x^2 -6x+y+9=0

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Q: Graph the ellipse 4x2 + 16y2 = 64 and locate the foci.

A: Given: 4x2+16y2=64 For drawing graph of given equation of ellipse, first we simplify given equation…

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: x-1)? (v+3)2 + = 1 36 4

A: Given: x-1236+y+324=1 To find: Foci, co- vertices, major axis, minor axis, latus rectum and…

Q: Find the center and radius of the circle represented by the equation below. x² + y² - 12x - 16y + 51…

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Q: A circle has the equation x2 + 6x + y2 - 8y - 75 = 0. What are the coordinates of the center and…

A: we will change it in standard form and compare.

Q: x = -4Cy-7) +5 2

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Q: 2 2 3D1 30 95

A: The solution are next step..

Q: What is the center and radius for the equation (x - 4)² + (y + 6)² = 81 ?

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Q: Graph the equation x2/4+ y2/9 = 1, and give the centerand the endpoints of the major axis

A: Given equation x24+y29=1

Q: The Sunrise Kempinski Hotel in Beijing, China, is a vertically circular building whose outline is…

A: Given x2+y2-78y-1843=0

Q: The equation of the circle is X +Y² = 11 what is the center of this circle

A: Given equation is a standard form of equation of circle

Q: the ratio of the major axis to the minor axis of ellipse 9x^2+4y^2-24y-72x-144=0 is

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Q: Graph the coordinates of quadrilateral ABCD. A(-3, 0) B(2, 4) C(6, -1) D(1, -5)

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Q: center (-5, -4); r = V3

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Q: Complete the square to find the center and radius: x^2+y^2-6x+14y-6=0

A: Circle of equation problem.....

Q: Find the radius and center of a circle with the equation x2 + y2 + 4x – 8y = 16.

A: Given: Equation of circle x2 + y2 + 4x - 8y = 16 To find out: Radius and center of circle.

Q: Find the center and radius of the circle whose equation is x + 8x + y² + 4y – 20 = 0. The center of…

A: Find radius and center of circle :

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: Write an equation for the perpendicular bisector of segment with endpoints P(0, 2) and Q(6, -6).

A: 4. Given Data: Endpoint 1: Pxp, yp=P0, 2 Endpoint 2: Qxq, yq=Q6, -6 The perpendicular bisector of…

Q: state the center, vertices, foci, and minor endpoints 5. 25x2 + 16y² – 192y - 250x- 399 0 %3D

A: Consider the given equation, 25x2+16y2-192y-250x-399=0 make the perfect square as follows,…

Q: This is a parallelogram. 16 y-60)° 56 3x+ 4 X = ? *

A: From the given parallelogram we have the value of x.

Q: 16x2 + 25(y + 3)² = 1600

A: The curve is 16x2+25(y+3)2=1600. We have to find the center, principle axis, the vertices, the…

Q: A- write the standard form of ellips ( 25x+ 9y+ 100x + 18y= 116 ) and find the center, vertices and…

A: For standard equation we apply completing square method to given equation

Q: Find the center and radius of the circle whose equation is x² + 10x + y² – 5y + 4 = 0. The center of…

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Q: Find the Rectangular equation. X-5cos() and y=53in(6)

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Q: Graph the ellipse and find the foci  9x2 + y2 + 108x - 8y + 331 = 0

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Q: Identify the vertex, focus, axis of symmetry, and directrix for 3x2 + 72 = −72y

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Q: What is the opening, focus, directrix, axis of symmetry, and endpoints of the latus rectum of the…

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Q: What is the radius and center of the equation x^2-6x+y^2+8y-39=0

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Q: Find the foci, co-vertices, vertices, center, major axis, minor axis, and latus rectum of each…

A: As we know that the standard equation of the ellipse is: x-h2a2+y-k2b2=1 Where: Center: (h,k) a,b is…

Q: State the equation of the circle. -10 1D -10

A: Solve the following

Q: Graph the ellipse 4x2 + 9y2 = 36 and locate the foci.

A: The given equation is 4x2+9y2=36

Q: Find the abscissa of the center of circle with equation 3x^2 + 3y^3 - 21x + 24y = 16

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Q: Given the equation  5x2 = 6x + 18 determine :The axis of symmetry

A: We will use the formulae to find out the   vertex of quadratic equations to find solution to the…

Q: Complete the square to find the center and radius: x^2+y^2-20y+19=0

A: We need to evaluate the center and the radius of the following circle by completing the square…

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

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Q: Find the center and radius of the circle whose equation is x + 5x + y + 6y – 9 = 0. The center of…

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Q: For the ellipse 25x2-50x+36y-875 0, write the equation in standard form, and identify the…

A: The general form of ellipse equation is as follows- x-h2a2+y-k2b2=1 The center of equation is given…

Q: Graph the equation. Find the center, vertices, and foci. x2/9 +y2/25 = 1

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Q: x2 + 4y2 = 46

A: We have given equation x2+4y2=46.

Q: A planetary orbit can be expressed by the equation x^2/3600+y^2/3249=1. What is the length of the…

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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.