Write an equation for each hyperbola. : 45. vertices at (0, 6), (0, -6); asymptotes y = ± ½ x

Q: For the ellipse equation: 4x^2 + 9y^2 = 36 find the center, vertices, foci and graph it.

A: The given equation of ellipse is:4x2+9y2=36x29+y24=1

Q: Find the equation to the ellipse whose centre is at the origin and the axes are the axes of…

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Q: Describe how to find a parabola’s vertex if its equation is expressed in standard form. Give an…

A: The standard form of a parabola is y = ax2 + bx + c. To find the x coordinate of the vertex, use the…

Q: What is the standard equation of a hyperbola?

A: Our Aim is to tell the standard equation of a hyperbola.

Q: Find the equation in standard form (ellipse) and list any missing info

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Q: How do I write an equation for a hyperbola that looks like this?

A: Hyperbola equation..

Q: How is a hyperbola different from a parabola?

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Q: 27) Foci: (10, 13), (10,7) Endpoints of minor axis: (14, 10), (6, 10)

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Q: Find the focus and directrix of the parabola with the equation 6y^2+10x=0. Then choose the correct…

A: Given that, the equation of the parabola is 6y2+10x=0 6y2+10x=06y2=-10xy2=-10x6y2=-4512x Compare the…

Q: A parabola whose equation is x ^ n-8Y = 12ny Find its focus and the equation of its guide

A: we know general formula of parabola X2=4ay So we put n=2 and find the equation of a parabola and…

Q: put the equation in standard form then find the center, major and minor vertices, foci and…

A: To Determine: Put the equation in standard form then find the center, major and minor vertices,…

Q: Determine whether statement, "Find the standard form of the equation of an ellipse with vertices at…

A: Vertices of the ellipse are 0, -6 & 0, 6 and it passes through the point 2, -4. Since the…

Q: Find the equation of the axis of symmetry of the parabola given by y= x^2 - 4 - 45 Explaining your…

A: For a quadratic equation with standard form as y=ax2+bx+c, the axis of symmetry is x=-b2a.

Q: Find an equation for the hyperbola whose transverse axis is horizontal, with center at (1, -5) and…

A: Given problem:- Find an equation for the hyperbola whose transverse axis is horizontal, with center…

Q: Write an equation in standard form for a hyperbola with center at (4, 0), vertex (10, 0), and focus…

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Q: write in standard form of equation vertex hyperbola with (− 1, 2) center and  focus (− 3 (,−2)3, +…

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Q: (Ellipse) Center at the origin, its foci is on the x-axis, the length of the major axis equal to 3…

A: From the standard form of the equation of the horizontal ellipse (x-h)2a2+(y-h)2b2=1,  Here, a >…

Q: Q/Using the definition, find the equation of a parabola if you know: 1_ The focus (0,-4) and the…

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Q: derive the standard form of equation for a hyperbola?

A: A cartesian coordinate system contains two mutually perpendicular number lines named x axis and y…

Q: Give an equation: (x+2)^2/(36)+ (y-4)^2/(25)=1. Please show me step-by-step solution, how to find…

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Q: Find the standard equation of the given general form of the hyperbola . Please show me the steps…

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Q: Write the equation of the hyperbola 25x^2-9y^2-150x-36y-36=0 in standard form.

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Q: Can you please solve 4x^2+3y^2+12y-36=0 this equation in the form of the standard ellipse equation?…

A: Here the given equation is,  4x2+3y2+12y-36=0 The standard form of the ellipse is  (x-h)2/a2 +…

Q: 23) Foci: (-5, 13), (-5, 7) Endpoints of major axis: (-5, 15), (-5,5)

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