4. Find the standard equation of the hyperbola with the same vertices as the vertices of the ellipse 9x2 + 4y? = 36 and with the asymptotes y =±;x. 3

Q: 1 Find an equation of the hyperbola having foci at (3, –3 – /45) and (3, -3+/45) and asymptotes at y…

A: This question is related to conic section.

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Q: 11. Find an equation for a hyperbola with asymptotes y=±x and passes through (1, 2).

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Q: Find the equations of the asymptotes for the hyperbola 16x2 - 9y2 = 25

A: Find the equations of the asymptotes for the hyperbola 16x2 - 9y2 = 25

Q: 3 Find the standard form equation for a hyperbola with vertices at (6, 0) and ( – 6, 0) and…

A: As per company guidelines we are supposed to answer only one question. Kindly repost other questions…

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Q: 9 Select the conic section represented by the equation. 4y - 3 = 0 parabola line ellipse…

A: We will find the conic section which is represented by the equation.

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Q: Find the equation of a hyperbola that has vertices at (2,0) and (2,-6) and the asymptotes are…

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Q: 2. Find the equations of all horizontal parabolas whose focus is the center of the ellipse 9a? +17y²…

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Q: Find an equation of the hyperbola that has foci at (0,-13) and (0,13), and asymptotes y=5/12x and…

A: The hyperbola that has foci at (0,-13) and (0,13), and asymptotes y=5/12x and y=-5/12x. To find…

Q: 10- y io -8 -6 4 2 2 4 6 8 10 +10+ Write the standard equation for the hyperbola graphed above.

A: From the given graph , find the equation of asymptotes (dotted red lines) we know that the center of…

Q: Sketch the hyperbola 9x² – 4y² – 18x + 8y – 31 = 0, and label the center, foci and vertices. Find…

A: Given : 9x2-4y2-18x+8y-31=0

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Q: Find the standard form equation for a hyperbola with vertices at (6, 0) and (– 6, 0) and asymptote 1…

A: Find the equation of the hyperbola

Q: 17. What is the center of the hyperbola whose equation is [(x+3)2 / 9] - [(y-3)2 / 16] = 1?

A: The given equation of the hyperbola is of the type [(x-h)²/a²]-[(y-k)²/b²]=1.

Q: 1 Find an equation of the hyperbola having foci at (3, – 3-/45) and (3, -3+/45) and asymptotes at y…

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Q: Find the center, foci, vertices, and eccentricity of the hyperbola                         ( y +…

A: y+32225-x-5264=1⇒y--32152-x-5282=1 Now comparing with y-k2a2-x-h2b2=1, we get k=-3, h=5, a=15 &…

Q: the graph of the equation X+kry + 49y² =7 where k is any positive constant less than 14, is an…

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Q: Find the standard form of the equation of the hyperbola with foci (0, ±2) andasymptotes y = ±19x

A: Find the standard form of the equation of the hyperbola with foci (0, ±2) andasymptotes y = ±1/9x

Q: Find an equation of a hyperbola satisfying the given conditions. Vertices at ​(1​,−7​) and ​(1​,1​);…

A: Given that the Vertices at ​(1​,−7​) and ​(1​,1​). So the center will be at the midpoint Center=…

Q: find the equations of the asymptotes of each hyperbola. 16y2 - 4x2 = 17

A: To find the equations of the asymptotes of each hyperbola. 16y2 - 4x2 = 17 We rewrite the equation…

Q: Find the center, foci, and vertices of the hyperbola 9x^2-y^2-36x-6y+18=0 and sketch its graph…

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Q: What is the equation of the standard hyperbola with vertices at (0, ±a) and foci at (0, ±c)? Choose…

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Q: 5. Identify the graph of 4x + 16y – 16x + 32 = 0 as a parabola, ellipse or hyperbola.

A: Given: 4x2 + 16y − 16x + 32 = 0

Q: 10. Draw the hyperbola with the equation: 3x? – 2y² + 6x – 8y = 6.

A: The given equation of hyperbola is: 3x2-2y2+6x-8y=6 Converting it into the normal form of hyperbolic…

Q: find the equation of the given hyperbola Vertices (±3, 0) and asymptotes y = ±1/2 x

A: Since the vertices 3,0 and -3,0 have same y-coordinate, hence the hyperbola is horizontal transverse…

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A: Given: x2+6y2+3xy=40

Q: Find the equation of the asymptotes for the hyperbola (y – 5)2 – (x + 5)2 = 36. a. y = ±x…

A: Asymptotes are the straight lines which tend to touch the curve at infinity.

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

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Q: 2. Where do the asymptotes intersect for the hyperbola y = -3 / (x + 2 ) -6 %3D O (-18, 6 ) O(-3/2,…

A: A rational function will have a vertical asymptote where the denominator of the rational function is…

Q: 18. Find the coordinates of the vertices and foci and the equations of the asymptotes for the…

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Q: Find an equation for the hyperbola that has vertices  (±3,0) and asymptotes  y=±5x.

A: Given query is to find the equation of the Hyperbola.

Q: 19. What is the equation of the horizontal asymptote for this hyperbola ? y = (6x + 8) / (3x - 2) *

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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: 10) Classify the graph of the equation as a circle, parabola, ellipse, or hyperbola: 4x2 + 25y2 +…

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Q: Find an equation for the hyperbola that satisfies the given conditions. Vertices: (0, 16),…

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Q: Find the standard form equation for a hyperbola with vertices at (12,0)(12,0) and (−12,0)(-12,0) and…

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Q: Find the equation for the hyperbola with the vertices at (0,1) and (6,1) and an asymptote 3y + 2x =…

A: We have to find the equation for the hyperbola according to given information.

Q: Which is the equation of a hyperbola with co-vertices at (0, 7) and (0, −7) and a transverse axis…

A: Ans (1) we have givenCo=Vertics of hyperbola (0,7) and (0,-7)⇒Compairing with co-vertice from (0, ±6…

Q: 1 Find an equation of the hyperbola having foci at (5-/45, 0) and (5+/45, 0) and asymptotes at y = 5…

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Q: Sketch the graph and find the foci of the given hyperbola a. 4x2-9y2=36

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Q: 3. Write the equation into the standard form of the equation of the hyperbola: x² – 4xy + y² + 8x +…

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Q: 1- Sketch the hyperbola with equation 4x-3y² - 8x + 6y- 11 = 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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