2. HYPERBOLA VERTICES: (5,- ASYMPTOTES: y=+3(x)-2 てら

Q: Determine the equation of a hyperbola having foci (0, +4) and asymptotes y =

A: Given:  Foci :( 0 , ±4 )   Asymptotes: y = ±3x

Q: What are the vertices and foci of the hyperbola (x - 9)2/25 - (y + 6)2/144 = 1 Show all work.

A: We have to find the vertices and foci of the given hyperbola.

Q: 3. The line segment between the vertices of a hyperbola is called the axis.

A: Given that,

Q: Do I have to use the equations for the asymptotes of a hyperbola centered at the origin, y = tr or y…

A: The equations for the asymptotes of a hyperbola centered at the origin is y = ±bax or y = ± abx.…

Q: What is the distance between the vertices of the hyperbola with one focus at (-1, 4) and co-vertices…

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Q: What is the equation of a parabola in vertex form with vertex (-5, -9) and directrix y = -13?

A: The parabola has vertex -5,-9 and directrix y=-13

Q: 4. Label the vertices, foci, and asymptotes on the graphs given for the hyperbolas in Exercises 2…

A: 4. (a) x242-y232=1(b) y242-x232=1

Q: 9. Find equation (in an Rectangular) for the conic that satisfies the given conditions: Parabola…

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Q: 9 Select the conic section represented by the equation. 4y - 3 = 0 parabola line ellipse…

A: We will find the conic section which is represented by the equation.

Q: Determine the asymptotes of the hyperbola. 49x² – 4y2 – 9 - 187

A: As given equation of the hyperbola is:                       49x2 - 4y2 - 9 = 187…

Q: 19. Find the standard form of the equation of the hyperbola satisfying the conditions below. Foci:…

A: We have to find the standard form of the equation of the hyperbola satisfying the conditions below.…

Q: 2. The points where a hyperbola intersects the line through the foci are called the

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Q: How is a hyperbola different from a parabola?

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Q: 2- Write the equation of hyperbola that pass through point (12, 9) and have F1 (0, 0) and F2 (0, 4)V

A: Consider the given information. y−k2a2−x−h2b2=1 Since we have the given foci at F1(0,0) and F2(0,4).…

Q: The hyperbola with asymptotes having the equations y -x and y--x and one verlex at (2, 0) has the…

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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: What is the equation of the directrix of the parabola having a vertex at (6,0), passing through…

A: Given:- What is the equation of the directrix of the parabola having a vertex at (6,0), passing…

Q: What are the equations of the asymptotes of a standard hyperbola with vertices on the x-axis?

A: Find the equations of the asymptotes of a standard hyperbola with vertices on the x-axis.

Q: What is the equation of the hyperbola with vertices at (-3,0) and (3,0) and whose conjugate axis has…

A: Hyperbola A hyperbola is a locus of points in such a way that the distance to each focus is a…

Q: what is the equation of a parabola with a vertex at (4, 8) and a directrix at y=5

A:

Q: Find the standard form equation for a hyperbola with vertices at (4, 0) and (- 4, 0), that passes…

A: Solved below...

Q: Find the standard equation of the hyperbola 1. Asymptotes y=4/3x + 1/3 and y=-4/3x +41/3, a vertex…

A: Solution of the problem as follows

Q: Identify the conic given by -° -) ., (x- 8)²_ (y-9)² 64 - 1 4 hyperbola circle ellipse O parabola

A:

Q: 5. Find the equation of the hyperbola whose asymptotes are the straight lines x = 0 and y = 0 and…

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Q: Which is the equation of a hyperbola with directrices at x = ±2 and foci at (4, 0) and (−4, 0)?

A:

Q: find the equation of a hyperbola

A: Given: The asymptotes y=±53x and vertices (-6, 0), (6, 0) To find: The equation of a hyperbola.

Q: Why are 9x^2-81y^2=0 and 9x^2-(z^2/4)=0 hyperbolas that pass through the origin and not lines that…

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Q: 3. Find an equation of the hyperbola having foci at (4, 2) and (4,8) and vertices at (4,4) and (4,…

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Q: Espar Find an equation of the hyperbola having foci at (-2,-V40) and (-2, 40) and asymptotes at y3 1…

A:

Q: What is the length of the conjugate axis of the hyperbola (x^(2))/(16)-(y^(2))/(4)=1?

A: General form of hyperbola   x2a2-y2b2=1  Therefore the length of the Conjugate axis =2b…

Q: İThe hyperbola with vertices at (0, 3) and (0, - 3) and foci at (0, 5) and (0, - 5) has the equation…

A: The objective of the question is determine the equation of the hyperbola and choose the correct…

Q: Find the standard form equation for a hyperbola with vertices at (5,0) and (−5,0), that passes…

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

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Q: Why is distance between vertices for hyperbola equal to 2a?

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Q: Find the equation of a Hyperbola which has the Vertices at (+2, 0) and Foci at (+4, 0). Form the…

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Q: Hyperbola with vertices (±8, 0), asymptotes y = ±34x

A: At the outset, let me tell you that asymptotes can't be y = ±34x, as stated in the question. It…

Q: 9) Write the standard form of the equation of the hyperbola with vertices (0,2), (6,2) and…

A: Vertices (h-a,k),(h+a,k) asymptotes y=+-(b/a)(x-h)+k

Q: 2) WHAT ARE THE STANDARD EQUATIONS OFA HYPERBOLA WITH A HORIZONTAL TRANSVERSE AXIS AND OF A…

A: Solution is given as below:

Q: How is the distance between vertices for hyperbola equal to 2a?

A:

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

A: General equation of the hyperbola:(x-h)2a2-(y-k)2b2=1             Horizontal Hyperbola…

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

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Q: 2- Write the equation of hyperbola that pass through point (12, 9) and have F, (0, 0) and F2 (0, 4).

A: Since, the foci of the given hyperbola are F′(0,0​) and F(0,4​) which lie on the X-axis and…

Q: Determine the eccentricity of a hyperbola with a horizontal transverse axis of length 24 units and…

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Q: Find the standard form of the equation of a hyperbola whose endpoints of the transverse axis are…

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Q: A hyperbola is defined by the equation x2 - y2 - 2x - 4y - 4 = 0. Its center is at the point (-1, 2)…

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Q: Show that the product of the distances of any point if a hyperbola from it's asymptotes is constant.

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Q: Give at least two examples of real-life applications of hyperbola (with solution).

A: Example 1The design layout of a cooling tower is shown in Figure 11. The tower stands 179.6 meters…