When you have finished, please submit this test to the dropbox. Using methods learned in our class, all steps to The answers are required to be shown for credit For reference, our recording for the test reviews similar problems Total score: of 15 points 1. Graph the ellipse. (x-2) (v+ 1) =1 9 36 Name the coordinates of the center, endpoints of major axis, endpoints of minor axis, and foci of the ellipse. Answer2. LORAN is a long range hyperbolic navigation system. Suppose two LORAN transmitters are located at the coordinates (-100, 0) and (100, 0), where unit distance on the coordinate plane is measured in miles A receiver is located somewhere in the first quadrant. The receiver computes that the difference in the distances from the receiver to these transmitters is 180 miles. What is the standard form of the hyperbola that the receiver sits on if the transmitters behave as foci of the hyperbola? Answer3. A radio telescope has a parabolic dish. Radio signals are collected at the focal point (focus) of the parabola. The distance from the vertex of the parabolic dish to the focus is 20 feel. The vertex of the dish is located at a point 30 feet above the ground and 80 feet to the east of a computer that reads and records data from the telescope. The diameter of the dish is 120 feet. What is the depth of the parabolic dish?Semester A Unit 3 Lesson 5 Answer the questions. Use the amount of space you require. When you have finished, submit this assignment to your teacher by the due date for full credit. Total score: of 5 points The points possible in the individual questions in this assignment add to 20 points. Your total earned points for this assignment will be converted to a 5-point scale, as shown. Score on Converted Graded Score Assignment 2 - 5 2 10 - 13 14 - 17 18 - 20 The planets in our solar system do not travel in circular paths. Rather, their orbits are elliptical. The Sun is located ala focus of the ellipse. The perihelion is the point in a planet's orbit that is closest to the Sun. So, it is the endpoint of the major axis that is closest to the Sun. The aphelion is the point in the planet's orbit that is furthest from the Sun So, it is the endpoint of the major axis that is furthest from the Sun. The closest Mercury comes to the Sun is about 46 million miles. The farthest Mercury travels from the Sun is about 70 million miles. (Seere for Quantion 1: of 1 points) 1. What is the distance between the perihelion and the aphelion? Answer: of 9 pointal 2. What is the distance from the center of Mercury's elliptical orbit and the Sun? Answer: of 8 pointsly 3. Write the equation of the elliptical orbit of Mercury, where the major axis runs horizontally. Allow a and b to be measured in millions of miles. Use the origin as the center of the ellipse. Answer:Pra-Calculus/Trigonometry | Graded Assignmant | Barrister A Unk S Lection 5 4. What is the eccentricity of the ellipse? Round your answer to the nearest thousandth. Answer 5. What does the value of the eccentricity tell you about the relative shape of the ellipse