An ellipse has an equation equal to 9x2 - 144x + 16y^2 + 96y +495 = 0. Compute the latus rectum.

Q: The focus of the parabola y^2 = 4x is at

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Q: write the equation of the ellipse 9x2+36y2+90x+216y+225= 0 in standard form, please show all written…

A: Standard equation of ellipse is x-x02a2+y-y02b2=1    when major axis on the horizontal axis

Q: Explain how to decide whether a parabola opens upward or downward.

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Q: use the method of completeing the sqaure to find the vertex of the parabola whose equation is…

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Q: Graph the hyperbola 16x^2−32x−4y^2−24y−84=0, noting the center, vertices, cover-tices, and foci.

A: The given equation of hyperbola is 16x2-32x-4y2-24y-84=0. Convert the equation of hyperbola into its…

Q: the area of the ellipse 9x^2 + 8y^2 = 72 answer: 26.7

A: To Find: Area of the ellipse  9x2+8y2=72

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: given the following equation: 36y^2-4x^2=144.  a) determine if the function is an ellipses or a…

A: This question can be solved using the concept of conic section.

Q: The length of the latus rectum for the ellipse x^2/64 + y^2/16 = 1 is equal to

A: Explanation of the answer is as follows

Q: What is a parabola? Describe its shape.

A: We have to define parabola and describe it shape.

Q: Write an equation of the ellipse in standard form ((x-h)/a)^2 + ((y-k)/b)^2 =1

A: Standard form of ellipse isx-h2a2+y-k2b2=1

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

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Q: Draw an ellipse having major and minor axis length as 90mm and 60mm

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Q: Find the area and perimeter of an ellipse with major axis = 6 and minor axis = 4.

A: Topic = Ellipse

Q: Write the equation of the hyperbola of foci F1(2, −1), F2(2, 4) and focal radius difference equal to…

A: The equation of hyperbola can be obtained from the foci and the vertices or other parameters. If the…