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

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Q: find the coordinates of the vertex and the focus for the parabola given by x2+6x+24y-111=0

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

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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: What is the standard equation of a hyperbola?

A: Our Aim is to tell the standard equation of a hyperbola.

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

A: Given: Find the standard form of the equation of the 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: Draw the hyperbola with the equation: 3x2 − 2y2 + 6x − 8y = 6.

A: Given the equation of the hyperbola : 3x2-2y2+6x-8y=6.

Q: Determine the vertices of the hyperbola 9x2-16y2-18x-96y+9=0.

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Q: the coordinates of vertex, focus, and ends of latus rectum of the parabola  Y2−8Y+6X+16=0

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Q: Find 2 Parabolas that shares 2. the same vertex and Focus cwith the ellipse 64x?+/00y2-6400

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Q: Determine if 36x + 25y = 900x is a hyperbola and if it is, which type it is.

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Q: For 7x - 4y-11=0, (a) Write the equation of the hyperbola in standard form. (b) Identify the center,…

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Q: Find the standard equation of the given general form of the hyperbola . Please show me the steps…

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Q: What equation is used to find the foci of a hyperbola?

A: The hyperbola which is having transverse axis along x-axis is given by x-h2a2-y-k2b2=1 where h,k is…