Find the length of the latus rectum of an ellipse if its vertices are (1,−6),(1,2) and co-vertices are (−2,−2),(4,−2)? Group of answer choices 9/2 9/4 18/7 9/7

Q: The following hyperbolas are confocal: x2/4 –y2/8 =1 and x2/6 –y2/k =1. What is the value of k

A: As per company guidelines we can solve first question. I hope that the given solution will help you.…

Q: In some designs of eyeglasses, the surface is "aspheric," meaning that the contour varies slightly…

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Q: The parabola y=ax2+k has vertex (0,−3) and passes through the point (3,3). Find its equation. y=

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Q: 4. Write down the name of the conics 4x² – 9y² +16x + 54y – 29 = 0. Determine the center, foci,…

A: 4x2-9y2+16x+54y-29=04x2+16x-9y2+54y-29=0Now factor out 4  and -94x2+4x-9y2-6y-29=0apply completing…

Q: Find the vertex, focus, and directrix for the parabola (x + 1)² = 8(y + 2) Vertex: Focus: Eguation…

A: Topic = Parabola Vertex  (-1,-2) Focus ( -1,0) Equation of the Directrix , y= -4

Q: Find the center, vertices and foci of the ellipse x? +4 y? - 6 x - 16 y = 39 Select one: O Center =…

A: The standard form of an ellipse whose major axis is parallel to the x-axis is given by  . If then…

Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function. f(x) =…

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Q: Determine the value of p (where |p| corresponds to the distance from the vertex to the focus) of the…

A: Given: Parabola whose vertex is 6, 7 and the x-intercepts are 3, 0 and 9, 0. To determine: Value of…

Q: The vertices of the hyperbola y = 5+ ( x² + 9 )0.5 are Select one: O(0,-3) and (0,3) O(8,0) and (…

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Q: sheets of paper for your solutic 1. 49x? – 25y + 98x - 50y- 1201 = 0. a = b = C = (h, k) = Vertices:…

A: Since you have asked multiple question As per our policy, we will solve the first question for…

Q: The circle given by the equation x² + y² + ax + by + c = 0 passes through the points (-2, 0), (1,…

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Q: 12. Complete the square and find the vertices of this ellipse: 4x? –16x+9y² –18y=11 А) (5,1), (-1,1)…

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Q: Find the largest possible area of a rectangle inscribed in the region bounded by the half- hyperbola…

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Q: 3. Find the vertices of the hyperbola. *-=1 3D1 25 64 O (0, 8), (0, – 8) - O (5, 0), (-5, 0) O (8,…

A: Hyperbola: A hyperbola is the set of all points  (x,y) in a plane such that the difference of the…

Q: n1 The vertices of the shown ellipse are ed out of 2 -3 -2 Select one: O a. (-1,0) and (-1,4) O b.…

A: As from the figure it is clear that the major  axis of the ellipse are lying on y-axis also 1. The…

Q: 5. Write down the name of the conics 4x - 9y² +16x + 54y – 29 = 0. Determine the center, foci and…

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Q: H Find theoquadhinofanPalabola's vertex, focus and diredrix for The fllowing eguefions!- I (9+3) = 4…

A: 1. Given y+32=4x  .........1 If a standard parabola equation y-k2=4px-h, where the vertex is h, k,…

Q: Given the equation x2 find the foci, vertices, directrix, axis, and asymptotes, where applicable. -…

A: Ellipse details

Q: 13. Complete the square and find the vertices of this ellipse: 25x² +50x +4y² –16y = 59 A) (-3,2),…

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Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=-x+2x-1. If there is…

A: Given query is to find x intercept and vertex of the perabola.

Q: 2. 4y2+ 169x² – 338x + 32y = 536 Center: %3D Vertices: Co-vertices: Foci: Length of major axis:…

A: Ellipse

Q: Find the acute angle between the asymptotes of the hyperbola 2x2 –y2 +4x -6y -15 = 0.

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Q: 6. Find the standard form of r2 + 4y² – 2r + 16y + 13 = 0. Give the coordinates of the center and…

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Q: A hyperbolic mirror, used in some telescopes, has the property that a light ray directed at the…

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Q: The Vertex and the value of p'of the given parabola (x – 4)2 = 12(y – 7) are | - Vertex = (-4, –7);…

A: Use vertex form of parabola

Q: 1. Find the equation of the hyperbola satisfying the following conditions: Vertices 4. (+7,0) and e…

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Q: - 4y2+ 169x2 – 338x + 32y = 536 Center: Vertices: Co-vertices: Foci: Length of major axis: Length of…

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Q: Q5: Find the coordinates of vertices of the hyperbola x² – 4y2 – 4x – 8y – 4 = 0 - - (-1,4),(-1,0)…

A: We have to find vertices of hyperbola.

Q: The graph of y = x° is called a semicubal parabola. Determine the constant b so that y = -x+b meets…

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Q: | 3. What are the vertices of this ellipse? O (-9, 2) and (-1, 2) O (-5, 5) and (-5, -1) O (2V2, 2)…

A: Each end point of the major axis is called vertex of ellipse. Here major axis is y=2.

Q: The hyperbola with asymptotes having the equations y=3/2x and and y= -3/2x and one vertex at (2, 0)…

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Q: A hyperbolic mirror used in some telescopes, has the property that a light ray directed at the focus…

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Q: A parabola is the collection of points (x, y) whose distance from (3, 4) is the same as the distance…

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Q: Draw graphs of the equations on the same graph paper 2x + 3y = 12               x – y=1. Find the…

A: To determine the area and the coordinates of the triangle formed by the lines.

Q: Find b and c so that y = 8x² + bx + c has vertex (7,5). b C =

A: Here given that y=8x2+bx+c and has the vertex at the point (7,5) since the line of symmetry is the…

Q: Find standard equation 07 the the Vertices (3,-5) and c3,1) asymptotes y=4-2x the the bypodbola with…

A: Please see the below picture for detailed solution.

Q: e down the name of the conics -3x2+5y2+12x+40y+53=0. Determine the center, foci and the vertices.…

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Q: Given the equation x2 - 24x + 2y2 + 44 = 0 find the foci, vertices, directrix, axis, and asymptotes,…

A: Let's find.

Q: A parabola is the collection of points (x, y) whose distance from (3, 4) is the same as the distance…

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Q: Change the equation to standard form. Then find the vertices, the corners of the fundamental…

A: Solve the given problem.

Q: a) Graph the circle  x²+ y²= 4 and the hyperbola on the same  4x²―y²=1 coordinate axes using…

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Q: Find the vertices and foci of the ellipse. x2 + 3y2 + 2x – 6y + 1 = 0 vertices (x, y) = (smaller…

A: Standard form of ellipse x-h2a2+y-k2b2=1 Foci = h±c,k, where c=a2-b2 Vertices = h±a,k

Q: 2 A cross section of the parabolic mirror in a car headlight is y²=4x. Where should the bulb be…

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Q: 12. y = -x + 2x - 4 Axis of Symmetry: Vertex: Sketch:

A: Given y=-x2+2x-4 find axis of symmetry and vertex

Q: 8. 4. 4. 7. Locate the foci, find the equations of the asymptotes, and graph y² =1. - 25 8. 6. 5. 3.…

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Q: 6. Find the parabola y = ax² + bx +c passing through the points (–2, –6), (1, 6), and (3, 4).

A: Lagrange polynomials are used for polynomial interpolation. For a given set of distinct points xn…

Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function. f(x) =…

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Q: 7. y = -2x + 8x -5 Axis of Symmetry: Vertex: Sketch:

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Q: QUESTION 10 What is the x-coordinate of the vertex of y = 50-2xr2? %3D QUESTION 11 What is the…

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