K Find the asymptotes of the hyperbola. 4x+6y-21=0 2 x² - y² + OA. y-2=(x + 3) and y-2=- (x+3) OB. y +2=(x-3) and y + 2 = -(x-3) 1 1 O c. y -3=(x + 2) and y- 3= - =(x + 2) OD. Y-3=(x + 2) and y-3= -(x + 2)

Q: Find x-intercepts of the parabola y= -2x² + 3x + 3 (Round your answers to two decimal places.) Write…

A: Given: y=-2x2+3x+3   As we know that: To calculate the x-intercept, we need to solve for x after…

Q: 20+ y 16 12 -10 -8 -6 -4 8 10 ---- - -8- -12 -16- +20- Identify a and b for the hyperbola with…

A: We can clearly see that y = 2x and y = -2x are eqn. of asymptotes of hyperbola. (y-2x)(y+2x) are…

Q: Which are the foci of the hyperbola represented by 5y² - 4x² - 80 = 0? O(-8,0) and (6.0) O (0,8) and…

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Q: Which of the following equations represents a parabola with vertex (5,2) and directrix y = - 2? (А)…

A: Let's find equation of parabola.

Q: y= ax + c The vertex of the parabola in the xy-plane above is (0, c). Which of the following is true…

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Q: Find an equation of the Hyperbola that has Foci (-1,–3) & (-1, 7) with asymptotes y = x+ & y = -a+…

A: Standerd equation of hyperboal is (x-h)2a2-(y-k)2b2=1where (h,k ) be the center

Q: Determine the equations of the asymptotes for the hyperbola: (+5)²_ (x + 2)² =1 = O x = -2; y = -5 O…

A: To determine the equations of the asymptotes for the hyperbola: y+524-x+229=1

Q: (x – 3)2 - 2)2 = 1 36 64 A) C: (3, 2); F: (2, -5), (2, 11); A: y = 16 y = - 16 X - 1 B C: (3, 2); F:…

A: We have to find the centre, foci and asymptotes for the given hyperbola.

Q: 5 Find an equation of the hyperbola having foci at (-2, - 3-/29) and (-2, – 3+ /29) and asymptotes…

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Q: The vertex of the parabola with focus (-2,-4) and directrix y - 4 is o (1,-4) 0 (-2,1) O (0,-4) O…

A: Given,drectrix of parabola is y=4,And focus is at (-2,-4)It is clear that parabola is open down,and…

Q: Which of the following properties satisfy the parabola with equation x² + 6x + 8y = 7 O v(3,2);…

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Q: What is the equation of the parabola with axis parallel to the x-axis, whose vertex is at (-1,7) and…

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Q: Find the equation for the hyperbola whose graph is shown. -2 y 15 10 -10 -15 y=4x 2 y=-4x

A: Consider the graph

Q: Find the equation of the hyperbola with vertex (-4, 0) and foci at (-5, 0) and (1, 0).

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the equation of the hyperbola with vertices at (-4,2) and (0,2) and foci at (-5,2) and (1,2).…

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Q: 3. Find an equation of the hyperbola with vertices at (3, 0) and (3, 4) and the equations of the…

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Q: What is the equation of the line that contains the vertices of the hyperbola (x + 4)² (y + 2)² -1? 9…

A: Finding the vertices

Q: Find the equation of the hyperbola with a vertex at (4,3), a focus at (6,3) and the center at (2,3).

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Q: Find the equation of the following parabola. Express your answer in standard form. 20 -15 -10 -5 15…

A: The standard equation of the parabola is written in the form ofy=ax2+bx+c

Q: The foci of the ellipse with given equation 25 1 are 36 II +

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Q: State whether the equation z - ()² = (+)² defines a hyperboloid of two sheets. an ellipsoid. a…

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Q: Write the equation for a parabola that opens sideways, whose vertex is at (0, 2), and that passes…

A: We are required to: Write the equation of the parabola that open sideways whose vertex is at (0,2)…

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: Find the values of integers,, and c that will make the hyperbola -9x² + 4y² + ax +by+c= 0 pass…

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Q: 15. 20y - 3 - 40y + 12x = 52

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Q: The cost C in dollars of manufacturing x bicycles at a production plant is given by the function…

A: topic- application of derivatives

Q: A hryperbola is defined by the equation x? - y? - 2x - 4y - 4 - 0. Its center is at the point (-1,…

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