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. 1. Write an equation that models the movement of Tanus around its star. Explain how you determined your equation and show your work. AB=Length of minor axis 2b=75CD=Length of major axis 2a=150 making the length of the semi-minor axis b=752 Length of semi-major axis a=1502..1 general equation- x-h2a2+y-k2b2=1..2 substitute the values of 1 and 2 x-h215022+y-k27522=1x-h2752+y-k27522=11752x-h21+y-k214=1x-h2+4y-k2=5625 if the centre of the elliptical orbit is assumed to be (0,0) then the equation will be x2+4y2=5625 2. Create a graph of Tanus' movement around Ini using your equation from question 1. Label your graph with the position of the star and the planet.

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