aydenwest1118
Answered

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This roller coaster has a height of 350 feet and the distance between the two bases is 120 feet. The y-axis is
drawn exactly in the middle of the roller coaster and the x-axis is on the ground.

Sagot :

raphealnwobi

The equation of the roller coaster is [tex]\frac{x^2}{60^2}+ \frac{y^2}{175^2} =1[/tex]

Ellipse

The standard form of an ellipse is given by:

[tex]\frac{(x-h)^2}{b^2} + \frac{(y-k)^2}{a^2} =1[/tex]

Where (h, k) is the center of the ellipse, 2a is the major axis and 2b is the minor axis.

The roller coaster has the shape of an ellipse. Hence:

2a = 350

a = 175

Also:

2b = 120; b = 60

The equation of the roller coaster is [tex]\frac{x^2}{60^2}+ \frac{y^2}{175^2} =1[/tex]

Find out more on Ellipse at: https://brainly.com/question/19507943

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