The orbit of a planet around the sun is not circular; it is an ellipse with the Sun at one focus. The aphelion of a planet is the greatest distance from the sun and the perihelion is its shortest distance. The mean distance of a planet from the sun is the length of the semimajor axis of the elliptical orbit. The perihelion of Pluto is 4551 million miles, and the distance from the center of its elliptical orbit to the sun is 897.5 million miles. Find the aphelion of Pluto. What is the mean distance of Pluto from the Sun? Write an equation to represent the orbit of Pluto around the Sun.

Q: define hyperbola, its Foci, Focal axis, vertices , center transverse axsis, conjugate axsis and…

A: To define:Hyperbola, Foci, Vrtices, Center transverse axsis, conjugate axisand asymptotes.

Q: 8. A clown who is shot out of a cannon lands in a net 50 feet away. a) Write an equation of the…

A: The general equation of the parabola is y=ax-d2+c

Q: 9. Sketch the parabola y =-x +8x-12, show all the intercepts, the axis symmetry and the vertex

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Q: Determine whether this is a parabola: y = 5a + 80x + 321 . O Parabola Not a parabola If it is a…

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Q: If PN is the perpendicular from a point on a rectangular hyperbola xy = c² to its asymptotes, then…

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Q: Communicate Precisely How can you find the focus of parabola given the vertex and the directrix?

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Q: Please don't provide handwritten solution...

A: Explanation is given below:Explanation:Given equation: 5y−x2=20 Rewrite it in the standard form of a…

Q: How many derivations are required to find the DE for parabolas with axis parallel to the x-axis and…

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Q: Graph the transformed parabola using the table of values method (i.e. with the mapping rule) Show…

A: Graph of this is given below

Q: betermine the general form of the equation of the cit cle or ka pavabola described beloN a) ceter at…

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Q: please help i keep getting the wrong equation. what is the equation of the parabola that passes…

A: Consider the given point 1,2,2,9,3,19

Q: variable circle through the origin and touching the hyperbola xy = c

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Q: ſatch My Parabola man Alkhatib 13 of 15 Next > Challenge #10 |12 Plot a parabola through the points.…

A: Given query is to plot a parabola passing through given points.

Q: 3. Write the equation of the parabola that matches each description. a) The graph of y =x² is…

A: 3. According to questionGiven Curve :y = x2

Q: The parabolic cable of a suspension bridge is 50 feet above the roadbed at the ends of the bridge…

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Q: a parabola with vertical axis with focus at (2,1) and whose latus rectum has length of 4, find the…

A: The standard form of the parabola with the vertical axis is: (x-h)2=4a(y-k)                ....(1)…

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.