Erik is throwing a ball up a long ramp. The slope of the ramp can be approximated by the equation y = 0.1x . On one particular instance, Erik's throw follows an arc of y = -0.05x² + 1.4x + 1.5 . (In these equations, y is the vertical distance (height) and is the horizontal distance.) For that throw, at what horizontal distance did Erik's thrown ball hit the surface of the ramp? Round your answer to the nearest tenth.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 2ECP
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Erik is throwing a ball up a long ramp. The
slope of the ramp can be approximated by
the equation
y = 0.1x
. On one particular instance, Erik's throw
follows an arc of
y = -0.05x + 1.4x + 1.5
. (In these equations,
y
is the vertical distance (height) and
is the horizontal distance.) For that throw, at
what horizontal distance did Erik's thrown
ball hit the surface of the ramp? Round your
answer to the nearest tenth.
Transcribed Image Text:Erik is throwing a ball up a long ramp. The slope of the ramp can be approximated by the equation y = 0.1x . On one particular instance, Erik's throw follows an arc of y = -0.05x + 1.4x + 1.5 . (In these equations, y is the vertical distance (height) and is the horizontal distance.) For that throw, at what horizontal distance did Erik's thrown ball hit the surface of the ramp? Round your answer to the nearest tenth.
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