Find an equation of the hyperbola whose foci are the vertices of the ellipse 4x2+9y2=36 and whose vertices are the foci of this ellipse.

Q: Find the standard form of the equation of the hyperbola satisfying the given conditions, Foci: (-8,…

A: Foci are -8, 0, 8, 0 and vertices are -3, 0, 3, 0. Since the foci and vertices lies on x-axis, the…

Q: Find an equation of a hyperbola in the form x2 /M - y2 /N = 1 M,N > 0 if the origin is at the…

A: Solution is given below:

Q: Find the general equation of the hyperbola with vertices (2, 0) and (-2, 0) and focus (-4, 0)

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Q: find the vertices, foci, center (if an ellipse or a hyperbola), and asymptotes (if a hyperbola). 4x2…

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Q: Find the standard form of the equation of the hyperbola.

A: To find the standard form of the equation of the hyperbola.

Q: d the equation of a hyperbola whose vertices are (+2,0) and whose foci are (+5,0).

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

A: To Find: the vertices, foci, center (if an ellipse or a hyperbola), and asymptotes (if a hyperbola).…

Q: Determine the coordinates of the foci of the hyperbola 9x² - 4y² - 90x + 189 = 0

A: The given equation of hyperbola          9 x^2 - 4 y^2 - 90 x + 189 = 0 ...............( 1)  First…

Q: 5. Find the vertices and foci of the ellipse given by the equation. 4x +9y² - 32x–36y+64=0

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Q: Find the standard form of the equation of the hyperbola with the given characteristics. Vertices:…

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Q: Find an equation of the ellipse whose foci are the vertices of the hyperbola x2-4y2=16 and whose…

A: We know that,              Hyperbola vertices given x2-4y2=16:  4, 0, -4, 0Hyperbola foci given…

Q: find the vertices, foci, center (if an ellipse or a hyperbola), and asymptotes (if a hyperbola).  3x…

A: Given3x2-27y2=12To findvertices,foci,center and asymptotes

Q: Find an equation for the hyperbola whose graph is below. The standard form of the equation is

A: Answer

Q: Find an equation for the ellipse that shares a vertex and a focus with the parabola y2 + 4x = 36 and…

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Q: Write the standard form equation for a hyperbola with center at the origin, vertices at (0,1) and…

A: To find the standard form equation for a hyperbola with center at the origin, vertices at (0,1) and…

Q: Find the standard form of the equation of the hyperbola satisfying the given conditions, Foci: (0,…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Find the standard form of the equation of the hyperbola with the given characteristics. vertices:…

A: Given: The vertices of the hyperbola are: (1,3) and (1,-3) And the foci of the hyperbola are (1,5)…

Q: Find the equation for the graph of the hyperbola with vertices at (4,0) and (-4,0) and one focu at…

A: Given: Vertex : 4, 0 and -4, 0Focus : -6, 0 We need to find the equation of the hyperbola. The…

Q: find the vertices, foci, center (if an ellipse or a hyperbola), and asymptotes (if a hyperbola).x^2…

A: find the vertices, foci, center (if an ellipse or a hyperbola), and asymptotes (if a hyperbola).x^2…

Q: Classify the graph of the equation 4x2 − y2 − 4x − 3 = 0 as a circle, a parabola, an ellipse, or a…

A: The general equation of the curve is, ax2+by2+cx+dy+e=0 where a, b, c, d, and e are the constants.…

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: Find the standard form of the equation of the hyperbola satisfying the given conditions as, Center:…

A: Center of the hyperbola is -2, 1, focus is -2, 6 and the vertex is -2, 4. Now the center is, h,…

Q: find the vertices, foci, center (if an ellipse or a hyperbola), and asymptotes (if a hyperbola). 4x2…

A:

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: Find the equation, in standard form, of the hyperbola with speicfied features vertices (-4, -5) and…

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Q: Find the foci of the ellipse 16x2 + 9y2 = 144, and sketch its graph.

A: Given,          ellipse=16x2+9y2=144First we put the equation in standard form.Dividing by 144, we…

Q: Write an equation for the hyperbola that has vertices (±2,0) and foci (±v 53,0).

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Q: Determine the equation of the hyperbola with center (3, -3), a focus at (16, –3), and a co-vertex at…

A: To find out the equation of hyperbola.

Q: find the vertices, foci, center (if an ellipse or a hyperbola), and asymptotes (if a hyperbola). x2…

A:

Q: Find the standard form for the equation of the hyperbola with foci (0,0) and (8,0) if the conjugate…

A: Standard form of equation of hyperbola.

Q: Find an equation for the hyperbola whose transverse axis is horizontal, with center at (2, -2) and…

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Q: Determine the Vertices and Foci of the Hyperbola 9x - 4y = 36 and Sketch.

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Q: Graph the ellipse and determine the foci. 36x2 + 72x + 49y2 - 196y - 1532 = 0

A: Graph the ellipse and determine the foci. 36x2  + 72x + 49y2 - 196y - 1532 = 0

Q: Find the standard form of the equation of the hyperbola satisfying the given conditions. Foci:…

A: Given, foci and vertices are

Q: Find the standard form of the equation of the hyperbola. 10

A: Here, the center of the hyperbola is -1,-2 and the vertices are -3,-2 and 1,-2. Also, the covertices…

Q: Find the standard equation of the parabola opening to the left whose axis contains the major axis of…

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Q: Write the standard form equation for a hyperbola with center at the origin, vertices at (0, 5) and…

A: If the transverse axis is parallel to the y-axis and centre origin then the equation of the…

Q: Find the vertices and locate the foci for the hyperbola whose equation is given. 64x2 - 49y2 = 3,136

A: To identify the vertices and the foci of the given hyperbola

Q: Find the Vertices, Foci and the Equations of the Asymptotes of the Hyperbola whose Equation is x?–…

A: (7) Rearrange the equation in the general form of hyperbola and determine the vertices for the…

Q: Find the standard form of the equation of the hyperbola with the given characteristics. Vertices:…

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Q: Find the center, vertices, foci and eccentricity of the hyperbola whose  equation is…

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Q: Find the standard form of the equation of the hyperbola with the given characteristics. Vertices:…

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Q: Find the equation, in standard form, of the hyperbola with the specified features  vertices (-3, 0)…

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Q: Find an equation for the hyperbola whose transverse axiS is horizontal, with center at (6, -3) and…

A:

Q: find the equations of the asymptotes of each hyperbola. 4x2 - y2 = 16

A: Given equation is 4x2-y2=16

Q: Find the equation of a hyperbola whose vertices are (+2,0) and whose foci are (+5,0). x2 A) 21 B 21…

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Q: . Find the Vertices, Foci and the Equations of the Asymptotes of the Hyperbola whose Equation is x?…

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Q: What are the vertices, foci, and asymptotes of the hyperbola with the equation 16x²-4y² = 64?

A: Here, the given equation of the hyperbola is: 16x2-4y2=64⇒x24-y216=0⇒x222-y242=0 Comparing it with…