The opening of a railway bridge over a roadway is in the shape of a parabola. A surveyor measures the heights of three points on the bridge, as shown in the figure. He wishes to find an equation of the form y = ax2 + bx +c to model the shape of the arch. у (ft) A A 27 ft 20 ft 32 ft 10 19 (a) Use the surveyed points to set up a system of linear equations for the unknown coefficients a, b and c. = 20 = 27 = 32 (b) Solve the system using Cramer's Rule. y =

The opening of a railway bridge over a roadway is in the shape of a parabola. A surveyor measures the heights of three points on the bridge, as shown in the figure. He wishes to find an equation of the form y = ax2 + bx +c to model the shape of the arch. у (ft) A A 27 ft 20 ft 32 ft 10 19 (a) Use the surveyed points to set up a system of linear equations for the unknown coefficients a, b and c. = 20 = 27 = 32 (b) Solve the system using Cramer's Rule. y =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter9: Quadratic Functions And Equations

Section9.7: Solving Systems Of Linear And Quadratic Equations

Problem 37PFA

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