To find the length of the major axis of the ellipse, we first need to identify the coefficients of x² and y² in the given equation of the ellipse x²/22500 + y²/28100 = 1.
The general form of the equation of an ellipse centered at the origin is x²/a² + y²/b² = 1, where a is the length of the semi-major axis and b is the length of the semi-minor axis.
Comparing the given equation x²/22500 + y²/28100 = 1 with the general form, we have:
a² = 22500
b² = 28100
Therefore, the length of the major axis (2a) is:
2a = 2√22500 = 2 * 150 = 300 yards
So, the length of the major axis of the elliptical track is 300 yards.
note: Enter your answer and show all the steps that you use to solve this problem in the space provided.Skip designs tracks for amusement park rides. For a new design, the track will be elliptical. If the ellipse is placed on a large coordinate grid with its center at (0, 0), the equation x22500+y28100=1 models the path of the track. The units are given in yards. How long is the major axis of the track? show work
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