Use the method of completing the square to rewrite the equation of a hyperbola in standard form. (y? - 10y) – (3x2 - 6x) = -13

Q: Write the equation of the hyperbola 36x? – 25y? + 288x – 150y – 549 = 0 in standard form (x – h)?…

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Q: consider the hyperbola represented by the equation - (x+5)^2/9^2+ (y-7)^2/13^2= 1

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Q: Identify the equation as a circle, a parabola, an ellipse, or a hyperbola. 16x2+9y2-98x + Sy+224 = 0…

A: Given

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: Complete the square to determine whether the graph of the equation is a parabola, hyperbola, circle,…

A: We have to find

Q: Convert the equation x2 - 2x - 4y + 9 = 0 to standard form by completing the square on x or y. Then…

A: Given:

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

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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: given the equation of parabola y^2 -8x -4y -20=0,find the length of latus rectum

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Q: Find the equation of the directrix of the parabola y=16x.

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

A: the hyperbola

Q: y=2x + 8x +9 Plot five points on the parabola: the vertex, two points to the left of the vertex, and…

A: Equation of parabola in standard form is  y = ax²+bx+c

Q: Use the information provided to write the standard form equation of the hyperbola. a2 - y? + 14x 6y…

A: Given equation: x2-y2+14x-6y-24=0 Standard equation of hyperbola is  x+a2h2-y+b2k2=1

Q: use the method of completeing the sqaure to find the vertex of the parabola whose equation is…

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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 in standard form. 11x - 2y + 66x – 4y + 75 = 0

A: Given: To write the equation of a hyperbola  in standard…

Q: What is the equation of the directrix of the parabola x2 + 2x+4y– 27=0? A y=8 B y=0 (© y= -2 D y=6

A: Solution ) x2 + 2x + 4y - 27 = 0 Add 1 and subtract 1 in equation  x2 + 2x +1  - 1  + 4y - 27 = 0…

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: Complete the square to determine whether the equation represents an ellipse, a parabola, a…

A: Hi, thank you for the question. Since you have posted multiple questions as per the rule we will…

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: 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 equation of the evolute of the parabola y? = 12x.

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Q: Identify the graph of the equation as a parabola (with vertical or horizontal axis), circle,…

A: Given, 4x2 - 16x + 9y2 + 36y = -16 We have to identify the given conic equation.

Q: (b) Find the evolute of the parabola y? = 4ax.

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

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Q: The equation of the parabola y' = 4ax is in the standard form. FALSE O TRUE

A: The given equation of parabola is -  y2 = 4ax

Q: What is the standard form of equation of a parabola with vertex at the origin and directrix x = 3? A…

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Q: -10 10

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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: Q5:Cross section of a Nuclear cooling tower is in the shape of a hyperbola with equation…

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Q: Write the equation into the standard for -4.x? + y? – 16x – 2y – 19 = 0. Locate hyperbola

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

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Q: Find the focus of the parabola. -x- 6x+3y- 15=0 OD

A: If you like the solution then please give it a thumbs up.... The Answer is:           Result:  Focus…

Q: Complete the square to determine whether the graph of the equation is a parabola, hyperbola, circle,…

A: given…

Q: Determine the standard equation of Hyperbola Show your solutions 4x²-9y²-8x-90y-257=0

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

A: Given: y=94x2-16

Q: Write the equation of the parabola in standard form. + 8y + 4x + 36 = 0.

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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: Complete the square to determine whether the graph of the equation is a parabola, hyperbola, circle,…

A: We have to find

Q: Find the standard equation of the hyperbola whose conjugate axis is on the directrix of the parabola…

A: Given: Conjugate axis of the hyperbola is on the directrix of the parabola The focus of the parabola…

Q: The equation of the parabola r = 4(y– 2)² is opening

A: Note: Equation of parabola Direction where it opens y=ax-h2+k and a>0 Upward y=ax-h2+k and…

Q: Consider the parabola given by the equation: 1æ? y = 2x + 8 -

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Q: The focus of the parabola y? + 8x = 0 has coordinates

A: Option (4) is true

Q: Write the equation of the parabola x^2+10x+20y+45=0 in the standard form for parabolas

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Q: Decide whether the equation 2x2 + 8xy + 8y² + 12x + 24y + 18 = 0 Represent an ellipse ,parabola or a…

A: we have  2x2+8xy+8y2+12x+24y+18=0

Q: Complete the square to determine whether the graph of the equation is a parabola, hyperbola, circle,…

A: The solution of the problem is given in the next step.

Q: Complete the square to determine whether the graph of the equation is a parabola, hyperbola, circle,…

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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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