1. Lesson 5

1.8. Explore 4

Mathematics 20-1 Module 4

Module 4: Quadratic Equations and Inequalities

 

Self-Check 2


textbook

Complete questions 11, 12, and 14 on pages 437 and 438 in the textbook. Answers

 

Try This 4

 

You have just learned how to relate a system of equations to a given context. In Try This 4 you will work through an interactive example to see how you can model a situation based on a quadratic-quadratic system of equations. You will be led through a series of steps that will enable you to solve a measurement problem.

 

This is a play button that opens Modelling with a Quadratic-Quadratic System: Waldo’s Sign.

Work through Modelling with a Quadratic-Quadratic System: Waldo’s Sign.

 


 

Example 2: Vertical Curves


textbook

Turn to “Example 4” on page 430 of the textbook to study a problem involving vertical curves. Look for the answers to the following questions as you read through the problem:

  • What is the purpose of a vertical curve in the design of roadways?

  • What kinds of systems of equations are used to solve the problem? How many systems of equations are used?
Self-Check 3


textbook

Complete questions 10, 13, and 15 on pages 437 and 438 in the textbook. Answer



Two linear-quadratic systems of equations are used. Each system of equations consists of one linear equation and the quadratic equation.
A vertical curve is used to improve the comfort and safety of roadways.