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Factoring equations

Please solve attached exercises using the Equation Editor, you must show work. Answers are already provided from the actual book. You must show however how you have arrived at the answer.

4 factoring problems, then:

Exercise 90: (no answer was provided in the book)

Avoiding a collision. A car is traveling on a road that is perpendicular to a railroad track. When the car is 30 meters from the crossing, the car's new collision detector warns the driver that there is a train 50 meters from the car and heading the same crossing. How far is the train from the crossing?

Exercise 92: (no answer was provided in the book)

Winter wheat. While finding the amount of seed needed to plant his three square wheat fields, Hank observed that the side of one field was 1 kilometer longer than the side of the smallest field and that the side of the largest field was 3 kilometers longer than the side of the smallest field. If the total area of the three fields is 38 square kilometers, then what is the area of each field?

Exercise 96: (no answer was provided in the book)

Venture capital. Henry invested $12,000 in a new restaurant. When the restaurant was sold two years alter, he received $27,000. Find his average annual return by solving the equation:


Solution Summary

Step-by-step solutions are provided for 4 equations plus 3 word problems.