A stone footbridge over a creek is shown along with the mathematical profile of the bridge. The arch of the footbridge can be modelled by a quadratic function for x€ [-5, 5), with all measurements in metres. a Find the equation for the arch of the bridge b Find the area between the curve and the x-axis from x = -5 to x = 5. c Find the area of the side of the bridge represented by the shaded area. d The width of the footbridge is 3 metres. Find the volume of stones used in the construction of the footbridge.
A stone footbridge over a creek is shown along with the mathematical profile of the bridge. The arch of the footbridge can be modelled by a quadratic function for x€ [-5, 5), with all measurements in metres. a Find the equation for the arch of the bridge b Find the area between the curve and the x-axis from x = -5 to x = 5. c Find the area of the side of the bridge represented by the shaded area. d The width of the footbridge is 3 metres. Find the volume of stones used in the construction of the footbridge.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
Problem 50PFA
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Transcribed Image Text:2.
A stone footbridge over a creek is shown
along with the mathematical profile of
the bridge.
The arch of the footbridge can be modelled by a quadratic function for
x€ [-5, 5), with all measurements in metres.
a Find the equation for the arch of the bridge
b Find the area between the curve and the x-axis from x= -5 to x = 5.
c Find the area of the side of the bridge represented by the shaded area.
d The width of the footbridge is 3 metres. Find the volume of stones used in the
construction of the footbridge.
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