Complete the sentence. x2 y? 4 For the ellipse +. 25 = 1, the vertices are the points and y² =D1, the vertices are the points 25 For the ellipse and 4

Q: Find the possible values of the real number b so that a dA = 18. where D is the ellipse (x – 1)2 (y…

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Q: Which graph represents the ellipse given by x^2/20+y^2/28=1?

A: We need to identify the graph of ellipse x^2/20+y^2/28=1

Q: Q#03: a. Write an equation of an ellipse whose major axis is vertical, with the center located at…

A: The equation of an ellipse centered at (h, k) is (x−h)2a2+(y−k)2b2=1. From given information center…

Q: Use the graphs of y 2 and y = 4x 10 5. shown below, to complete the following %3D %3D sentence. The…

A: Given two graphs are y=2 and y=-4x-105.

Q: What are the focus of ellipse with an equation of 4x2 + y2 = 100? a.7.90…

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Q: What are the vertices of this ellipse? -8 -6 -2

A: From the figure, The end points of midline is vertex of an ellipse.

Q: Which equation represents a parabola with a vertex (-3, 2) and focus (-3,5)? O y = -3x2 + 3x + 2 O y…

A: we have to find the equation of the parabola

Q: What is the center of the ellipse? (r-2) 49 6+1) = 1 25 o (-2,-1) o (-2, 1) o (2,-1) o (2, 1)

A: As we know that the standard equation of the ellipse is: x-h2a2+y-k2b2=1 Where: center is at h,ka,b…

Q: What is the equation of the ellipse shown in the graph? y 67 +►X -10 8 -6 -4 -2 0 -2+ 2 4 6 8 10 -44…

A: Major axis: The longest diameter of an ellipse is known as the major axis. It extends from one side…

Q: Which graph represents the ellipse represented by the equation (x−4)^2/4 + (y−1)^2/25=1?

A: Given (x-4)24+(y-1)225=1

Q: 20. Which is the equation of an ellipse? a) 25 y² 3D1 16 b) x2 + y2 =1 %3D c) 25 x² y2 =D 1 %3D 16…

A: 20)

Q: Which of the following equations is an ellipse? Ay²= x² + 4 (x– 2)² , (y+2)² (B) 1 25 25 x2 + 4y2 -…

A: Given: - The four equations,  (a) y2=x2+4(b) (x-2)225+(y+2)225=1(c) x2+4y2-16=0(d) 4x2+4y2-5=0 To…

Q: Which of the following is a point of intersection of a circle and an ellipse with the respective…

A: Question is solved.

Q: What are the coordinates of the vertices of the hyperbola? (z+4) (y-5)? = 1 25 4 Enter your answer…

A:

Q: 18. Which of the following equations represents an ellipse with horizontal minor axis? A 득+ 16y2= 16…

A: Solution

Q: Which equation does not represent an ellipse? A (x + 1)² (y – 5)² = 1 3 7 B +-1 C 25x² + y² + 150x…

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Q: 2x2 + 3y2 – 12 = 0 - 24 1 44 200 12 14 14 15 14 24 erom 22 24 24 O y=vC(12-2x*2)/3) O…

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Q: Q: Find the equation of the ellipse x² + 2x + 4y2 - 24y = -32, then find the vertex, length of the…

A: We are given the equation of ellipse to be x2+2x+4y2-24y=-32. Now, we can simplify the above as the…

Q: Find the equation of the parabola y = ax? + bx + c passing through the points (0, 6), (- 2, 2), and…

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Q: 4+y 2 -6 -5 -4 -3 -2 -1 1 2 3 4 -2 -3 -4 x? Identify a and b for the ellipse with equation y? = 1.…

A: We have to find

Q: 4. Which of the equations below represents this ellipse? 10 5 -5 5 -5- --10

A: Here the Major axis is on the Y axis. And the Minor axis is on x axis. The last option is true.

Q: Complete the sentence. For the ellipse 4 * 25 + = 1, the vertices are the points, and x? ? 4 25 For…

A:

Q: 2. For the parabola equation: (y-2) = -3(x+4)^2 + 7, what is the location of the vertex? *

A: Equation of parabola is given as : (y - 2) = -3(x + 4)2 + 7  . . .(1) Vertex form of a parabola is…

Q: Complete the sentence below. or the ellipse 25+ =1, the value of a is, , the value of b is and the…

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Q: (z – 6)? (y – 5)? = 1 Given the ellipse 16 Find the center point: List the four vertices:

A: Given that the ellipse, x-629+y-5216=1 To write the standard equation of ellipse, x-h2a2+y-k2b2=1…

Q: Find the equation y= ax?+by +C 0E the parabola that passes througn the points (-2,0), (0,-14),(7,0)

A: Given: Parabola passes through points (-2, 0), (0, -14) and (7, 0)

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

A: Given: 1] Center of an ellipse (3,-4) 2] Major axis is parallel to the x-axis 3] Distance from the…

Q: How do you graph the ellipse? (z+2) 16 (+8) 3D1 81 Drag choices into the boxes to correctly complete…

A:

Q: Graph the ellipse. (x + 2)² (y + 2)² =1 + 25 16

A: The ellipse can be graphed as below.

Q: 10) For the equation of ellipse below, find the distance between vertices. * 4(y + 1)? + 7(x – 1)? =…

A: Distance between vertex is 2a. Where a is semi-major axis.    Answer : Option a. 2√7

Q: 5. Put the following equation into standard form, classify it as a circle, ellipse, hyperbola, or…

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Q: (b) Find the evolute of the ellipse x2 y? =D1

A:

Q: Complete the sentence. x? y? For the ellipse + 4 25 = 1, the vertices are the points. and x? y? For…

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Q: 4x' 16х — 9у* + 20

A:

Q: 2) Graph the ellipse (x−1)² _(y+5)² 4 9

A: Solution: here we are using the graphing tool to plot an ellipse.

Q: For the Ellipse x?+4y -16 x-24 y = -19 Find the following:

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Q: graph the ellipse  x2/64+y2/36=1

A: Consider the given ellipse

Q: How do you graph the ellipse? (2+2) 16 (w+8) 81 =1 Drag choices into the boxes to correctly complete…

A: Given: x+2216+y+8281=1

Q: Find the point on the ellipse x? + 4y? + 2xy = 12 with the greatest x-coordinate. (Use decimal…

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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: Which graph represents the ellipse represented by the equation 4 (y-1) =D1? 25

A:

Q: An ellipse has an equation x² y2 = 4 9. 15 Find the value of b.

A: Given the equation of ellipse is  To find the value of b

Q: for the ellipse 4x^(2)+y^(2)+24x-2y+21=0, find the vertices

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Q: Find the end points of the minor and major axis for the graph of the ellipse (x – 4)? (у — 6)? = 1 |…

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Q: Find the equation of the major axis of the ellipse x? +4 y? - 6 x - 24 y = -36 Select one: O y= 0 O…

A: First of all we will write the equation of ellipse in standard form.

Q: (y + h)? (x + k)? = 1 whose vertices: (- 2,-4), (-2, 6)and foci: (-2,-5),(-2,7) Now find the 62…

A: Explained below

Q: Graph the ellipse. (x+2)2+9(y-2)2=81

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Q: d. Find the equation of the vertical parabola that passes through the points: A = (6, 1), B = (-2,…

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Q: 18. Which of the following equations represents an ellipse with horizontal minor axis? A.+ 16y? = 16…

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Q: For the ellipse x^2/4+y^2/25=1, the vertices are the points​ ______ and​ ______.

A: Solve as shown below

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.