Write the equation of the hyperbola centered at (1,-4). The length of the vertical transverse axis is 8 and the length of the conjugate axis is 3.

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: Write the standard equation for the hyperbola with the following conditions: Vertices: (-2, -3) and…

A: See attached file for a step by step explanation to find the required equation of hyperbola.

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 the equation of a parabola whose directrix is x = 5.75 and has a focus at (12.25, 5).

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

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Q: write the equation of a parabola whose directrix is x = 3.25 and has a focus at (10.75, -8).

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Q: Use the method of completing the square to rewrite the equation of a hyperbola in standard form. (y?…

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Q: Write the equation of the hyperbola centered at ( – 9, – 10). The length of the vertical transverse…

A: Explained below...

Q: Given an equation of a hyperbola in standard form, how do you determine whether the transverse axis…

A: The standard form of an equation of a hyperbola with centered at (h, k) and the transverse axis…

Q: Determine the equation of the hyperbola, h(x).

A: Equation of hyperbola: The equation of hyperbola center at (h, k) and semi-axis a=b=2A is given by,…

Q: Find an equation that models the path of a satellite if its path is a hyperbola, a = 55,000 km, and…

A: The standard equation of hyperbola with center (0,0) and having horizontal transverse axis is given…

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

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

Q: Decide if the equation defines an ellipse, a hyperbola, a parabola,or no conic section at all. 4x 2−…

A: An equation has to have x2 or y2 to be an equation of any conic sections. If, in an equation neither…

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: Write the equation of the hyperbola centered at (4, 2). The length of the vertical transverse axis…

A: Write the equation of the hyperbola centered at (4, 2). The length of the vertical transverse axis…

Q: ND THE EQUATION OFA HYPERBOLA WITH 2) AND (5, 2), AND FOCI AT (-3, 2) AND (7,

A: The vertices of hyperbola are -1,2 , 5,2 , focii of the hyperbola are -3,2 , 7,2 and center of 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 an equation that models the path of a satellite if its path is a hyperbola, a = 55,000 km, and…

A:

Q: Write the equation of a parabola whose directrix is y = - 0.75 and has a focus at (– 8, 8.75).

A: Let's find.

Q: Decide if the equation defines an ellipse, a hyperbola, a parabola, or no conic section at all. (a)…

A: The general form of the conic section is: Ax2+Bxy+Cy2+Dx+Ey+F=0 If the signs of A and C are…

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: 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: The center of a hyperbola is (-3,2). The length of the conjugate axis is 8 units, and the length of…

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Q: Decide if the equation defines an ellipse, a hyperbola, a parabola, or no conic section at all. (a)…

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Q: Find the standard equation of the parabola shown in the figure.

A: Standard equation of parabola: y=ax-h2+k        ...(1) Where (h, k) is the vertex of a parabola.

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: 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: Write the standard form of the equation of the hyperbola given below by completing the square. x² -…

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Q: For Exercise, write the standard form of the equation of the hyperbola subject to the given…

A: Given: Corners of the reference rectangle: (8, 7), (−6, 7), (8, −3), (−6, −3); Horizontal transverse…

Q: -10 10

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Q: Which equation represents the parabola graphed on the coordinate plane below?

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with the vertex form…

Q: Find the standard equation of the hyperbola that satisfies the conditions.

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Q: Find an equation of the hyperbola (in general form) given the following conditions C(2, 5),…

A: Given : For a hyperbola Center C(2,5), Horizontal transverse axis of length 10 Conjugate axis of…

Q: Write the equation into the standard form of the equation of the hyperbola: 2/2x? + 5V2xy + 2/2y? +…

A: As there is xy term is given so first we have to rotate the axis and eliminate that term then write…

Q: Write the equation of the hyperbola centered at (– 6, – 1). The length of the vertical transverse…

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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: Write the equation of a parabola whose directrix is y=7.5 and has a focus at (−3,8.5)

A: Parabola is the locus of all those points which is equidistant from both Directrix and focus. let…

Q: 2x2 + 8ху + 8у? + 12х + 24у+18 %3D 0

A: 2x2+8xy+8y2+12x+24y+18=0⇒x2+4xy+4y2+6x+12y+9=0⇒x+2y2+6(x+2y)+9=0let x+2y=tt2+6t+9=0it can rewritten…

Q: Write the standard form equation for a hyperbola with center at the origin, vertices at (6, 0) and…

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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: 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: For Exercise, write the standard form of an equation of a hyperbola subject to the given…

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Q: Write the standard form equation for a hyperbola with center at the origin, vertices at (0, 4) and…

A: Stranded form of the hyperbola

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

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Q: For Exercise, write the standard form of the equation of the hyperbola subject to the given…

A: From the given statement, the corners of the reference rectangle are  (7,6), (-1,6), (7,0), (-1,0)…

Q: Write the equation of a parabola whose directrix is x 12.5 and has a focus at (5.5, – 9). -

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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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