Write the coordinates for the center of the hyperbola: A/ (x-2) (y + 1)² 64 36

Q: Put the equation of the ellipse in standard form by completing the squqte. 5x2 + 3y2 + 10x + 24y –…

A: This question can be solved using the concept of standard equation of ellipse.

Q: Write the equation of the hyperbola 4x2 – 25y? + 8x + 250y – 721 = 0 in standard form (x – h)? (y –…

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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: center: (7,-2) focus: (10,-2) vertex: (9,-2) what is the standard form of the equation of this…

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Q: 5x² - 7y² - 5z² = 1

A: The equation is

Q: Which equation does not represent an ellipse? A B C D 4+4-1 (x + 1)² 3 (x + 1)² 3 + (v-5)² 7 (v-5)²…

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Q: Consider the following. 409x² + 576xy + 241y² = 625 (a) Use the discriminant to determine whether…

A: The equation is given as,

Q: (Б) 10 F10 4,0 10 (у— А)2 (х - с? B2 D²

A: Solution:- The labelled figure of above question is given below.

Q: The equation of an ellipse centered at the origin is y² = 1, 62 where a and b are distances from the…

A: MATLAB is used as calculator to calculate the results for the algebraic expressions  by typing the…

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: Arrange the parabolas represented by the equations according to the positions of their foci on the…

A: The standard form of a parabola is  (x – h)2 = a(y – k) where (h, k) is the vertex.

Q: Convert the equation to the standard from for an ellipse by completing the square on x and y. 4x2 +…

A: To transform the given equation to the standard equation of the ellipse, with center (0,0) , and…