Nabil is writing a science fiction novel that takes place in another galaxy. In her galaxy, all the planets travel in an elliptical orbit around their star. The majority of the plot of Nabil's story takes place on the planet Tanus which orbits a star named Ini. The length of Tanus' major axis is 150 million miles and the length of its minor axis is 75 million miles. The star Ini is located at a focus of the elliptical orbit. Use what you know about writing and graphing the equations of ellipses to answer the questions below.

Q: Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the…

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Q: solve y(4)-3y'''+2y''=e3x  using undetermined coefficient

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Q: Pluto travels around the sun in an elliptical path with the sun at one focus. The minor axis of its…

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Q: The position of a planet that a closest to and farthest from the sun are called its  perihelion and…

A: Given AB=1.47×108 km, AC=1.52×108 km ∴BC=3×108 kmOB=2.99×1082=1.495×108 kmOA=1.495×108-1.47×108…

Q: Directions: Be able to draw/illustrate the given problems and show pertinent solutions.  1. Ellipse…

A: Problem: A ship is navigating along a route defined by an elliptical path. The ship's current…

Q: The orbit of Jupiter is an ellipse with the sun at one focus. The eccentricity of the ellipse is…

A: Let the closest distance is denoted by c Let the maximum distance is denoted by m Let the distance…

Q: Identify the conic by writing its equation in standard form. Then sketch its graph. y² - 4y - 4x = 0…

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Q: A satellite is to be put into an elliptical orbit around a moon. The moon is a sphere with radius of…

A: The correct option is B . See the explanation in the attachment below...

Q: Pluto travels around the sun in an elliptical path with eccen- tricity e = 0.25 with the sun at one…

A: Length of the minor axis is 2b=1010. b=5×109 According to the formula for the ellipse. b2=a2-e2…

Q: Identify the type, the eccentricity, the vertices, and equation of the directorix of the following…

A: Given:Identify the type, the eccentricity, the vertices, and equation of the directrix of the…

Q: 17. Write an equation for the ellipse. 12

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Q: Lyra is designing a model of a solar system with a planet and a comet. The planet has a circular…

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Q: 6. a. Give the equation of the conic shown below. Equation: b. Find the two focal points and plot…

A: The given figure is an ellipse. Consider the general ellipse:

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.