A cheetah can run at 105 feet per second, but only for 7 seconds, at which time the animal must stop and rest. A fully rested cheetah at (0, 0) notices a nearby antelope, which is moving according to the parametric equation (x, y) started to run at t = 0, the cheetah could catch the antelope. For how many more seconds can the cheetah afford to wait before starting? Assume that the cheetah does not change direction when it runs. -39 + 40t, 228 + 30t), where t is measured in seconds and x and y are measured in feet. If it %3D

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A cheetah can run at 105 feet per second, but only for 7 seconds, at which time the animal must stop and rest. A
fully rested cheetah at (0, 0) notices a nearby antelope, which is moving according to the parametric equation
(x, y) = (-39 + 40t, 228 + 30t), where t is measured in seconds and x and y are measured in feet. If it
started to run at t = 0, the cheetah could catch the antelope. For how many more seconds can the cheetah
afford to wait before starting? Assume that the cheetah does not change direction when it runs.
Transcribed Image Text:A cheetah can run at 105 feet per second, but only for 7 seconds, at which time the animal must stop and rest. A fully rested cheetah at (0, 0) notices a nearby antelope, which is moving according to the parametric equation (x, y) = (-39 + 40t, 228 + 30t), where t is measured in seconds and x and y are measured in feet. If it started to run at t = 0, the cheetah could catch the antelope. For how many more seconds can the cheetah afford to wait before starting? Assume that the cheetah does not change direction when it runs.
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