SKILLS
33-40 ■ Graphical Method Use the graphical method to find all solutions of the system of equations, rounded to two decimal places.
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EBK ALGEBRA AND TRIGONOMETRY
- Measurement Use the fact that 13 inches is approximately the same length as 33 centimeters to find a mathematical model that relates centimeters y to inches x. Then use the model to find the numbers of centimeters in 10 inches and 20 inches.arrow_forwardSubstitution Method Use the substitution method to find all solutions of the system of equations. {x2+y=9xy+3=0}arrow_forwardMeasurement Use the fact that 14 gallons is approximately the same amount as 53 liters to find a mathematical model that relates liters y to gallons x. Then use the model to find the numbers of liters in 5 gallons and 25 gallons.arrow_forward
- Graphical Method Two equations and their graphs are given. Find the intersection point(s) of the graphs by solving the system. {2x+y=1x2y=8}arrow_forwardNavigation See the illustration. An ocean liner is located 23 miles east and 72 miles north of Pigeon Cove Lighthouse, and its home port is 47 miles west and 84 miles south of the lighthouse. How far is the ship from port?arrow_forwardElimination Method Use the elimination method to find all solutions of the system of solutions {x2y2=12x2y2=x+3}arrow_forward
- Elimination method Use the elimination method to find all solutions of the system of equations. {3x+y=15x+2y=1}arrow_forwardThe Arch of a Bridge 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. Use the surveyed points to set up a system of linear equations for the unknown coefficients a, b, and c. Solve the system using Cramer’s Rule.arrow_forward
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