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

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 an equation of the hyperbola having foci at (8, - 2) and (12, -2) and vertices at (9, - 2) and…

A: Here we have to find the equation of hyperbola having foci at (8,-2) and (12,-2) and Vertices at…

Q: Find the foci of the hyperbola. 2 -4x+y-16x- 32 = 0

A: We have to find the foci of the hyperbola.…

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

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Q: Write the standardbform equation of the following hyperbolas. Vertices (4,-7) and (4,-1) foci (4,-8)…

A: Given: Vertices (4,-7) and (4,-1), and foci (4,-8) and (4, 0). To find: Equation of hyperbola.

Q: Draw the hyperbola with the equation: 3x2 − 2y2 + 6x − 8y = 6.

A: 3x2-2y2+6x-8y=6⇒3x2+6x-2y2+8y=6⇒3x2+2x-2y2+4y=6⇒3x2+2x+1-2y2+4y+4=6+3-8⇒3x+12-2y+22=1⇒x+1213-y+2212=…

Q: Find an equation of the hyperbola whose foci are the vertices of the ellipse 4x2+9y2=36 and whose…

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Q: Write the equation of the hyperbola 9x² - 36y2 - 18x144y - 459 = 0 in standard form (x - h)² (y -…

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

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Q: Determine the center and orientation of the principal axis of each hyperbola. x2/4 - y2/5=1

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Q: B. Determine the standard form of equation of the hyperbola whose general form is given. 4. 4x - 3y…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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

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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 standard form of the equation of the hyperbola.

A: The standard equation of a hyperbola opening left and right is given by x-h2a2-y-k2b2=1 Where (h,k)…

Q: Foci at (0,5) and (0,-5) and a vertex at (0,4)

A: Vertex is at (0,4) Focus is at (0,5) and (0,-5) . Its lies on the y axis So its a vertical hyperbola…

Q: Graph the hyperbola 16x^2−32x−4y^2−24y−84=0, noting the center, vertices, cover-tices, and foci.

A: The given equation of hyperbola is 16x2-32x-4y2-24y-84=0. Convert the equation of hyperbola into its…

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

A: Concept: A rectangular array of numbers (or other mathematical objects) for those the operations…

Q: Find the standard form of the equation of the hyperbola with; Foci: (0₁-3) and (0,3) and Vertices :…

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Q: What are the foci of the hyperbola with equation * x2 y2 36 64 (4,0), (-4,0) (0,3), (0,-3) (10,0),…

A: At first we have to contract the equation in standard form and then have to find the foci.

Q: Locate the center of the hyperbola with the equation of 49y^2– 4x^2 + 48x – 98y – 291 = 0

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

A: All vertices and foci are on the x-axis so the equation of the hyperbola has the standard form:

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: -16x + 9y + 32x + 36y + 124 = 0

A: Given: -16x2+9y2+32x+36y+124=0

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: Determine the equation of the hyperbola with center (−1, −6), a focus at (−1, −16), and a co-vertex…

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Q: Write the equation of the hyperbola 25x^2-9y^2-150x-36y-36=0 in standard form.

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Q: Find the center, vertices and foci of the hyperbola. x2 3D1 16 25

A: x225-y216=1Hyperbola    x2a2-y2b2=1         a = ±5…

Q: Find an equation for the hyperbola with center (0,0) vertices (+4,0) passing through (8,2)

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

A: Consider the provided graph,

Q: 3. Plot and label the center, vertices and foci of the ellipse and hyperbola and parabola. a. 4x? +…

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Determine the Vertices and Foci of the Hyperbola 9x - 4y = 36 %3D and Sketch.

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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: Find an equation for the hyperbola that satisfies the given conditions. Foci: (+11, 0), vertices:…

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

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Q: Write the equation of the hyperbola of foci F1(2, −1), F2(2, 4) and focal radius difference equal to…

A: The equation of hyperbola can be obtained from the foci and the vertices or other parameters. If the…

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

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Q: Find  the centre, vertices, foci, and asymptote of the hyperbola. 4y2+32y - 5x2-10x+39=0

A: We have to find the center, vertices, foci, and asymptote of the hyperbola.…

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: What is the perimeter of the central rectangle for the hyperbola -16x² + 9y² + 96x + 54y – 207 = 0?…

A: Given:      -16x2+9y2+96x+54y-207=0        y-k2a2-x-h2b2=1 is the standard equation for up-down…

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

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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 for the hyperbola with center C (2, 4), foci F (2, 1)and F2 (2, 7), and vertices V…

A: Please see the answer in step 2

Q: Find the standard form of the equation of a hyperbola with foci at and (0, 5),(0,-5) and vertices…

A: The vertices of the hyperbola is (0,2) and (0,-2) The foci of the hyperbola is (0,5) and (0,-5)

Q: 6. Find the standard form of the equation of the hyperbola.

A: The standard form of equation of hyperbola is  , (h,k) is the center. a and b are indicated above in…

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…

Q: Find the foci of the hyperbola. 2-9y-90y-234 = 0

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