Find the equation of a hyperbola with center at the origin, whose transverse axis is on the axis and is 22 units long, and whose conjugate axis is 14 units long. a. 49 121 b. - =1 121 c.- 1 d.高-=1 %3D

Q: Write the equation for the hyperbola with foci (-12, 6), (6, 6) and vertices (–10, 6), (4, 6). =1…

A: The hyperbola with foci (-12,6), (6,6) and vertices (-10,6), (4,6)

Q: Write an equation for the hyperbola with center at (3, – 4), focus at (7, – 4), and vertex at (6, -…

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Q: Classify the graph of the equation 9x2 + 9y2 − 36x + 6y + 34 = 0 as a circle, a parabola, an…

A: Since the coefficients of x2 and y2 are the same and are of the same sign too. So this given…

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

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Q: Write the equation of the hyperbola centered at the origin, with length of the horizontal transverse…

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Q: Find an equation for the hyperbola shown in the figure.

A: Given:

Q: Find the equation for the hyperbola whose graph is shown. y 10 50 F1 (0, 5) X - 10 -5 5 10 F2 (0,…

A: Answer

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

A: Given: Vertices of the hyperbola are at 2,0 and 2,-6 and asymptotes are y=32x-6 and y=-32x, To find:…

Q: Find the equation for the hyperbola whose graph is shown. -10 F1 (-5, 0) -5 y 10 5 0 -5 -10- F2 (5,…

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Q: Write the equation of a hyperbola with center at the origin, passing though (±4,0) with no…

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

A: Given: Find the standard form of the equation of the hyperbola.

Q: Find the equation of the parabola that has a horizontal axis of symmetry, passing through the points…

A: Given the points are, 0,3,(-2,1) and (6,-3)

Q: Describe the part of a hyperbola given by the equation.

A: A hyperbola is a type of conic section formed when a plane cuts a right circular cone. Consider a…

Q: Classify the graph of the equation as a circle, a parabola, an ellipse, or a hyperbola. 25x2 – 10x –…

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Q: Find the equation for the hyperbola whose graph is shown. y 20 10 - 20 -10 10 20 (6,-10) -10 -20

A: Given, Standard hyperbola whose centre is (0, 0) and passing through the points = (0, 8) , (0, -8)…

Q: Write the equation of the hyperbola in the form -Ar (y-k)? = 1 or - a? (y-k) (x-h)² = 1. a2 2y2 - x2…

A: See in the next step

Q: Find the equation for the hyperbola whose graph is shown. y 10- 5 F1 (0, 5) - 10 -5 10 F2 (0, –5) -…

A: The general equation of the given type of hyperbola is: (y-k)2a2-(x-h)2b2=1...(1) Here, from the…

Q: Find an equation for the hyperbola whose graph is below. Q 40

A: As we know that the center of the horizontal hyperbola is the midpoint of the vertices of the…

Q: Find the equation of a parabola with vertex at ( -1, 2) and focus at ( - 1, 3)

A: We have to find the equation of a parabola with vertex at ( -1, 2) focus at ( - 1, 3)   First we…

Q: Write the standard form of an equation of a hyperbola with center (h, k) and transverse axis…

A: The standard form of the equation of a hyperbola with center (h, k) and transverse axis is vertical…

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: Determine the equation of the asymptotes of a hyperbola with the following equation: 25x? - 50x -…

A: Given equation of hyperbola:  25x2-50x-4y2-8y-79=0 Aim: Find the equation of the asymptotes of the…

Q: Write the standard form of an equation of a hyperbola with center (h, k) and transverse axis…

A: Standard form of a hyperbola having centre at origin and transverse axis is a line parallel to…

Q: Find an equation for the hyperbola whose graph is below. Ay -8 -6 -4 -2 -2- 46- Lo

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Q: Which of the following could be an equation for the hyperbola shown? O (y-5)? (x+4)² a? =1 O (x+4)?_…

A: Given-  To find- Which of the above following is the equation of hyperbola.

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: If the intersection points of the hyperbola 3x² – y² = 11 and the line 2x + y = 10 are P and Q,…

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Q: Convert the equation to the standard form for a hyperbola by completing the square on x and y. 9y-4x…

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Q: Write the equation of the hyperbola with centre at (4, 2), vertex at (4, 5), one asymptote with…

A: To write the equation of the hyperbola with center at 4, 2, vertex at 4, 5, one asymptote with…

Q: Identify a and b for the hyperbola with equation a2 y? 1. 62 - a = b = %D

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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 equation of a hyperbola whose center is at (0,0), one focus at (5,0) and the distance…

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Q: Write the equation of the following hyperbola in standard form. 4x? – 8x – 9y? – 54y – 113 = 0 -…

A: We can make it easier for you

Q: Write the equation of the hyperbola that has a center at (6, - 1), a focus at (11, – 1), and a…

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Q: Find the equation of the hyperbola whose asymptotes are y = 2x and y=-2x which passes thru (5/2, 3).

A:

Q: Write the equation of a circle passing through the vertices of the hyperbola 4x2-9y2=36 and having a…

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

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Q: Find the equation of the hyperbola whose asymptotes are y = +2 and which passes through 4. 16 16 16

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

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Q: Find the equation for the hyperbola whose graph is shown. y 5 ý= 3 x -3 -2 -1 1 2 3 y=-3x -5

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Q: Write the equation of the following hyperbola in standard form. 16x? – 96x – 4y? + 16y + 64 = 0…

A: It is equation of hyperbola.

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: Find the equation for the hyperbola whose graph is shown. 1 x 20 y 10 F1 (-5,0) F2 (5, 0) -10 -5 5…

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

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Q: Find the equation for the hyperbola whose graph is shown. y 10- F1 (-6, 0) F2 (6, 0) -10 -5 10 -5 5.

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Q: Find the equation for the hyperbola whose graph is shown. y 10- 5 F1 (-6, 0) F2 (6, 0) -10 -5 10 -5…

A: From, figure, foci are ±6,0   ⇒±ae,0=±6,0,'e' is eccentricity and…