What is the standard equation of the hyperbola if the length of its transverse axis is 12 and one of its curves passes through the point P (8,14)? 36 144 = 1 36 252 = 1 144 36 = 1 252 30

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: What is the standard form equation of the hyperbola that has vertices (0, +4) and foci (0, +2/1…

A: Here we have vertices of the hyperbola (0,±4) and foci 0,±213

Q: Write the equation for the hyperbola with foci (–12, 6), (6, 6) and vertices (-10, 6), (4, 6). =1…

A:

Q: Find the standard equation of the hyperbola that satisfies the conditions Foci (−3 ,−3) and (−3…

A:

Q: Find the standard form of the equation of the hyperbola satisfying the given conditions. Endpoints…

A:

Q: What is the standard equation of the hyperbola if the length of its conjugate axis is 10 v5 and one…

A: To find- What is the standard equation of the hyperbola if the length of its conjugate axis is 105…

Q: Find the standard form of the equation of the specified ellipse. 19. Foci: (0, –4). (-4, – 4); Major…

A:

Q: Find the equation of the hyperbola in standard form centered at the origin with a vertical…

A:

Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (0, ±5), length of…

A: Given that hyperbola satisfies the following conditions: Foci=0,±5  and length of transverse axis is…

Q: Write the equation of an ellipse centered at (1, -2) whose minor axis has length 6 and horizontal…

A: We can find the equation of ellipse using the given data as below.

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

A:

Q: A hyperbola in standard position has equation 36x2 −49y2 −100 = 0. Write down a parametrisation of…

A: The given equation of the hyperbola is: 36x2-49y2-100=0 Rewrite the equation:…

Q: Rewrite the equation of the hyperbola 9x? – y? – 36x – 6y + 18 = 0 in standard form and identify - -…

A:

Q: Find an equation for the hyperbola that has its center at the origin and satisfies the given…

A: We have, a hyperbola satisfies the given conditions as vertical transverse axis of length 10,…

Q: 3- If the equation of the hyperbola is 4x? – 9y? = 36 Find the distance between the negative foci…

A:

Q: Find the equation of the Hyperbola whose Foci are at (7,9) and ( 35,9),and the length of its…

A:

Q: Find the length of a,b,c of the given hyperbola: x^2/4 - y^2/5=1

A:

Q: Given hyperbola   (y + 1)2   −   (x − 2)2   = 1       9                4         what will its…

A: Given: An equation of the hyperbola, y+129-x-224=1.

Q: 1.) A gateway is a parabolic shape whose vertex is 20 ft. From the ground, (0,20), and the width of…

A: Given, a gateway  is a parabolic shape whose vertex  is 20 ft. From the ground, (0, 20), and the…

Q: Which of the following coordinates of the vertices and foci satisfy a rectangular hyperbola where…

A:

Q: 18 12 6- -6 13 -6 -12 -18 y? Identify a and b for the hyperbola with equation a2 - 62 a = b = || to

A: Solution is given below :

Q: Find the equation of the Hyperbola whose Foci are at (6,4) and ( 30,4).and the length of its…

A:

Q: Find the equation of a hyperbola with center at (3, -1) if the transverse axis is horizontal, the…

A:

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: The vertices of a hyperbola are at (-5, -2) and (-5, 12), and the point (-5, 30) is one of its foci.…

A:

Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (±5, 0), length of…

A: We will find the equation of hyperbola.

Q: What is the length of the transverse axis of the hyperbola whose foci are (0, -5) and (0,5), and…

A:

Q: Find out whether the equation 9x2 +126x−16y2 −96y+153 = 0 represents a hyperbola. If it is a…

A: We first find the standard form by completing the square.…

Q: The line segment perpendicular to the transverse axis passing through the center of a hyperbola, and…

A: Consider a parabola figure

Q: What is the length of the transverse axis of the hyperbola whose foci are (0,-5) and (0,5), and…

A:

Q: Find the equation of Parabola and Graph with the following information: Center at (0, 0) Vertices…

A:

Q: 3. Find the standard equation for the hyperbola that has foci (0,±5) and vertices (0,±3).

A:

Q: Find an equation of the paranola in standard form: with the vertex at V (2,-4) and directrix y= -5

A: Find an equation of the parabola in standard form: with the vertex at V (2,-4) and directrix y= -5

Q: By differentiating implicitly, find the slope of the hyperboloid 22 + y? – 22 = 1 in the x-direction…

A: We have to find slope of the hyperboloid x2+y2-z2=1 in the x-direction at the points (a) 1,2,2 (b)…

Q: Find an equation in standard form for the hyperbola with foci at(+8, 0), transverse axis with length…

A:

Q: What is the equation of the directrix of a parabola having vertex at (4, 3) and focus which is 2…

A:

Q: Consider the hyperbola 3x - y´ – 24x + 4y –4 = 0. If foci are (a, b) & (c, d), then (a + b + c + d)…

A: step:-1 For a hyperbola x-h2p2 -y-k2q2=1 The co-ordinates of center is h, k The co-ordinates of foci…

Q: 5 - 5 = 1 49 = 1 15 49 D- =1 64 49 = 1 14 16

A:

Q: Determine the standard form of equation of a hyperbola with center at (6,4), with a focus at (6, –…

A:

Q: What is the length of the transverse axis of the hyperbola whose foci are (0, -5) and (0,5) , and…

A: The foci of Hyperbola are:   (0, -5)  and  (0, 5). Length of transverse axis of Hyperbola is:  2a…

Q: 2. What is the standard form equation of the ellipse with vertices at (0, 6) and (0, -6) and co-…

A:

Q: The equation of the shown hyperbola is given by Fou Fou Select one: (x– 1)? _ (v+2}? , 9. 5 (y+2}? _…

A: Explanation of the answer is as follows

Q: Find the equation of the hyperbola with vertices (2,0) and (2, –4) and foci (2,3) and (2, –7).…

A:

Q: 25. What is the standard equation of the hyperbola whose foci are F1(-4v2, 0) and F2(4V2, 0), such…

A: Given:     Foci are F1-42,0 and F242,0      The standard form of the equation of a hyperbola is…

Q: What will be the equation of hyperbola that satisfies the given condition foci at (+ 24,0) and the…

A:

Q: The hyperbola centered at the origin with vertices (0, 9) and (0, -9) and a conjugate axis 16 units…

A: Vertices = (0 , ±a) length of conjugate axis = 2b equation of hyperbola = y2a2-x2b2=1

Q: Find the standard equation of the parabola which satisfies the given conditions. Vertex (−8,3),…

A: To find the standard equation of parabola

Q: The equation of the hyperbola whose foci are (-2,0) and (2,0) and length of transverse axis is 2 is…

A:

Q: Consider the two-leaf hyperboloid defined by the equation x2/25−y2/25−z2=1 and the hyperbola…

A: Consider the two-leaf hyperboloid defined by the equation x2/25−y2/25−z2=1 and the hyperbola…