Write the equation of the hyperbola centered at the origin with vertices at (±5,0) and asymptotes 3 at y = ±³x. 02-2- 25 1 0²-2=1 25 0-²=1 25 9 0 - ² = 1 25 9

Q: Find a function whose graph is the lower half of the hyperboloid -x2 - y2 + z2 = 1.

A:

Q: x* + 2y? - 2x + 8y - 11 = 0 (illpse) x2 = 1 (llyperholu) 36 64

A: Equation of ellipse given is- x2+2y2-2x+8y-11=0 Standard form of this equation can be written as-…

Q: -X 4 Find an equation in standard form for the hyperbola with vertices at (0, ±10) and asymptotes at…

A:

Q: 5. Determine the equation of a hyperbola having vertices ( 0,±4) and asymptotes y ±2x

A: Compairing with the given information we have

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: 13. Which of the following is the equation of the graph shown? 2 Parabola Oy = - 3x? – 6x – 2 Oy = -…

A: The objective is to find the equation of the graph.

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

A:

Q: 2 Write the equation of the hyperbola – 25 · x? + 16 · y² = 400 in standard form + = 1 %3D

A:

Q: 1. A parabola has equation -12x + y? – 24 = 0. Write the equation in standard form.

A: The equation of the parabola is, - 12x + y² - 24 = 0 So, y² = 12x + 24

Q: For which values of a does the conic 3x^2 + 2y^2 − 16y + 12x =a, have at least one point?

A: Consider the given:…

Q: The hyperbola with the given equation is centered at? * 16y² -9x² +36x + 96y - 36 = 0

A:

Q: =D1 4 = 1{-5<x<5}

A: Given equation is The equation of given hyperbola is horizontal hyperbola

Q: 2 sin 0 - 3 sin 0 + 1 = 0

A: We will solve for theta as following .

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

A:

Q: Standardize the conic with the equation 7x2+4xy+4y2--2x-6y+1=0

A:

Q: Write an equation of an hyperbola With a foci at (0, -4/5), (0, 4/5) and vertices at (0, -4) and (0,…

A: NOTE: Refresh your page if you can't see any equations. . given vertices are here midpoint of these…

Q: An object is observed travelling in a hyperbolic trajectory with the sun at one focus of the…

A: Given information:  1. Sun is one of the focus of hyperbola . 2. The Sun co-ordinate is 0,0.…

Q: 7. Find the equation of the parabola in standard form vertex at the origin passing through the point…

A: The equation of the parabola in vertex form with vertex (h.k) is y = a(x-h)2+k Here the vertex is at…

Q: Are the two triangles depicted similar? Explain.

A: two rriangles are similar if ratio of their sides are equal

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: Find the equation of the hyperbola centered at the origin with vertices (6,0) and (-6,0) and…

A:

Q: Find the directrix of the parabola described by the equation 6 (x – 3) + (y + 2)? = 0 O x = } O x =…

A: The  parabola with vertex at (h,k) and focus at (h-a,k) has a standard equation, (y-k)2=-4a(x-h) The…

Q: Find an equation of the hyperbola having foci at (2, -2) and (10, −2) and vertices at (5,-2) and (7,…

A:

Q: Find the standard form equation for a hyperbola with vertices at (3, 0) and (-3,0), that passes…

A: we have to find standard form of equation for a hyperbola with vertices (3, 0) and (-3, 0) and it…