(y + 3)? (x - 5)² = 1 225 64

Q: Find equations for the asymptotes to the hyperbola described by 49x² – 25y² – 294x – 100y : 884.

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Q: 3x Find an equation for the hyperbola with foci (0,±5) and asymptotes y=±-

A: given, focus (0,±5) and asymptotes y=±34x we have to find an equation of a hyperbola firstly we draw…

Q: 14- 5y'+ 8x + 30y - 54 = 0

A:

Q: The foci of the hyperbola are (0, -10) and (0, 20), and the asymptotes are y = 3/4x + 5 and y =…

A: Given, foci and asymptotes of hyperbola

Q: Find the center, foci, vertices, and eccentricity of the hyperbola, and sketch its graph using…

A: given,

Q: A hyperbola has an equation of 4x2-y2 = 256. Find the eccentricity

A: A hyperbola has an equation of 4x2-y2 = 256. Find the eccentricity

Q: Q4: Find the equation of the hyperbola and sketch the graphs with vertices(0,±8) and asymptotes y=…

A:

Q: Determine the asymptotes of the hyperbola. 49x² – 4y2 – 9 - 187

A: As given equation of the hyperbola is:                       49x2 - 4y2 - 9 = 187…

Q: The foci of the hyperbola are (0, -15) and (0, 25), and the asymptotes are y = -x + 5 and y = - x +…

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Q: Find the vertices, the foci, and the equations of the asymptotes of the hyperbola. Sketch its graph,…

A: Rewrite the equation in the standard form. y249−x216=1−x216+y249=1−x242+y272=1−x−h242+y−k272=1…

Q: Find Vertices, Foci and sketch the graph of the hyperbola showing the asymptotes and foci on the…

A: The given equation is y2-4x2-12y-16x+16=0. Rewrite this equation as follows.…

Q: Graph the hyperbola y2 - 4x2 = 16. Give the location of the foci and the equations of the…

A: Given: y2 - 4x2 = 16.

Q: Use a graphing utility to graph x2/4 - y2/9 = 0. Is the graph a hyperbola? In general, what is the…

A: The given equation is x24-y29=0. Sketch the graph of the above equation as shown below.

Q: The vertex of the parabola with focus (-2,-4) and directrix y - 4 is o (1,-4) 0 (-2,1) O (0,-4) O…

A: Given,drectrix of parabola is y=4,And focus is at (-2,-4)It is clear that parabola is open down,and…

Q: Use the center, vertices, and asymptotes to graph the hyperbola (x + 3)2/25 -y2/16 = 1. Locate the…

A: Given: x+3225-y216=1 To Find: 1. Use the center, vertices, and asymptotes to graph the hyperbola. 2.…

Q: Classify the graph of the equation as circle, a parabola, an ellipse, ora Show your proof. 1.)9x² +…

A:

Q: Graph the hyperbola x2/9 - y2 = 1. Give the location of the foci and the equations of the…

A: Given equation of hyperbola is x29-y2=1 The given hyperbola can be written as: x29-y21=1 Standard…

Q: A hedge is to be constructed in the shape of a hyperbola near a fountain at the center of the yard.…

A:

Q: Sketch the graph of the hyperbola, showing the vertices, foci and asymptotes. y² – 16x² = 16

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Q: a hyperbola has an equation of 4x^2-y^2=256, find the eccentricity asap

A:

Q: Graph the hyperbola (x - 2)2/9 - (y + 2)2/16 = 1. Give the location of the foci and the equations of…

A: Identify the values of h, k, a2 and b2 from the given equation of hyperbola. Use the formula…

Q: Find an equation for the hyperbola that has its center at the origin and satisfies the given…

A: Consider the provided information, The x intercepts is ±5 and asymptotes y=±2x. Find an equation for…

Q: Graph the hyperbola y2 - 4x2 = 16. Give the location of the foci and the equations of the asymptotes

A: Concept: The hyperbola y2a2-x2b2=1 has foci at 0,±c, where c2=a2+b2, and vertices at 0,±a And the…

Q: Find the vertices, the foci, and the equations of the asymptotes of the hyperbola. Sketch its graph,…

A: Consider the provided equation, y2-4x2=16 Find the vertices, the foci, and the equations of the…

Q: Find the center, foci, vertices, and eccentricity of the hyperbola                                y2…

A: y2−16x2+64x−208=0⇒y2−16x2+64x−64-144=0⇒y2−16x2-4x+4=144⇒y2−16x-22=144⇒y2144−16x-22144=144144⇒y-02122…

Q: The foci of the hyperbola are (0, -10) and (0, 20), and the asymptotes are y = 3/4x + 5 and y = -3/4…

A:

Q: Show that the equation x2 - 4y2 + 2x + 8y - 7 = 0 represents a hyperbola. Find its center,…

A: Given: x2-4y2+2x+8y-7=0 first we converting given equation in standard form so,…

Q: Find the center, foci, and vertices of the hyperbola and sketch its graph using asymptotes as an…

A:

Q: Graph the hyperbola 4x2 - 49y2 = 196. Give the location of the foci and the equations of the…

A: Definition used -                   For a hyperbola-                          (x-h)2a2-(y-k)2b2=1…

Q: Use the center, vertices, and asymptotes to graph the hyperbola (x - 3)2 - 4(y + 3)2 = 4. Locate the…

A:

Q: Q4: Find the equation of the hyperbola and sketch the graphs with vertices(0,a8) and asymptotes y=…

A:

Q: Find the asymptotes of the hyperbola 3x2 + 6x − y2 − 10y = 1.

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Q: Graph the hyperbola x2 - y2 - 2x - 2y - 1 = 0. Locate the foci and find the equations of the…

A: The equation of hyperbola is x2-y2-2x-2y-1=0 To locate the foci and find the equations of the…

Q: (у + 3)? 38. (x – 5)² = 1 225 64

A: The given hyperbola is y+32225-x-5264=1

Q: Find an equation for the hyperbola that has its center at the origin and satisfies the given…

A: The hyperbola has y-intercepts, so it has a vertical transverse axis. The standard form of the…

Q: Find the vertices and foci of the hyperbola. Sketch its graph, showing the asymptotes and the foci.…

A:

Q: Graph the hyperbola 4x2 - y2 + 8x + 6y + 11 = 0. Give the location of the foci and the equations of…

A: Given equation of hyperbola is 4x2-y2+8x+6y+11=0. Given equation can be re-written as:…

Q: 4. Determine the equation of the upward asymptote o the hyperbola with the following equation: 16(x…

A: This question is related to asymptotes.

Q: Convert the equation 4x2 - 9y2 - 16x + 54y - 101 = 0 to standard form by completing the square on x…

A: Consider the given: 4x2-9y2 -16x+54y-101=04x2 -16x-9y2+54y=1014x2 -4x-9y2-6y=1014x2…

Q: Use the center, vertices, and asymptotes to graph the hyperbola. Locate the foci and find the…

A: Given equation is x+3225-y216=1. To graph the hyperbola using center, vertices and asymptotes.…

Q: 4. Find the standard equation of the hyperbola with the same vertices as the vertices of the ellipse…

A:

Q: the asymptote of the hyperbola given by x^2/9-y^2/4=1 has the equation

A: Let us consider the standard form of hyperbola  x2a2-y2b2=1 The asymptote of the given equation is…

Q: Use the center, vertices, and asymptotes to graph the hyperbola (y - 2)2 - (x + 3)2 = 5. Locate the…

A: Given the equation of a hyperbola: y-22-x+32=5 Now, y-k2a2-x-h2b2=1  is the standard equation for an…

Q: Use the center, vertices, and asymptotes to graph the hyperbola (x - 1)2 - (y - 2)2 = 3. Locate the…

A: Known fact: For the equation of hyperbola of the form x-h2a2-y-k2b2=1, The vertices are ±a+h, k and…

Q: Use the center, vertices, and asymptotes to graph the hyperbola (x + 3)2 - 9(y - 4)2 = 9. Locate the…

A: We can write again equation of hyperbola x+3232-y-4212=1 Since the x- part is added, it is…

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

A: Given equation is 4x2-y2=16