Practice with Quadratic Applications
| Site: | Saylor Academy |
| Course: | GKT101: General Knowledge for Teachers – Math |
| Book: | Practice with Quadratic Applications |
| Printed by: | Guest user |
| Date: | Sunday, May 19, 2024, 7:24 PM |
Description
Complete these exercises and check your answers.
Exercises
Practice Makes Perfect
Solve Applications of the Quadratic Formula
In the following exercises, solve by using methods of factoring, the square root principle, or the Quadratic Formula. Round your answers to the nearest tenth.
143. The product of two consecutive odd numbers is 255. Find the numbers.
145. The product of two consecutive even numbers is 624. Find the numbers.
147. The product of two consecutive odd numbers is 483. Find the numbers.
149. A triangle with area 45 square inches has a height that is two less than four times the width. Find the height and width of the triangle.
151. The hypotenuse of a right triangle is twice the length of one of its legs. The length of the other leg is three feet. Find the lengths of the three sides of the triangle. Round to the nearest tenth.
153. A farmer plans to fence off sections of a rectangular corral. The diagonal distance from one corner of the corral to the opposite corner is five yards longer than the width of the corral. The length of the corral is three times the width. Find the length of the diagonal of the corral. Round to the nearest tenth.
155. The length of a rectangular driveway is five feet more than three times the width. The area is 350 square feet. Find the length and width of the driveway.
157. A firework rocket is shot upward at a rate of 640 ft/sec. Use the projectile formula 
to determine when the height of the firework rocket will be 1200 feet.
Source: Rice University, https://openstax.org/books/elementary-algebra-2e/pages/10-4-solve-applications-modeled-by-quadratic-equations
This work is licensed under a Creative Commons Attribution 4.0 License.
Answers
143. Two consecutive odd numbers whose product is 255 are 15 and 17, and −15 and −17.
145. Two consecutive even numbers whose product is 624 are 24 and 26, and −26 and −24.
147.Two consecutive odd numbers whose product is 483 are 21 and 23, and −21 and −23.
149. The width of the triangle is 5 inches and the height is 18 inches.
151. The leg of the right triangle is 1.7 feet and the hypotenuse is 3.4 feet.
153. The length of the diagonal of the fence is 7.3 yards.
155. The width of the driveway is 10 feet and its length is 35 feet.
157. The rocket will reach 1,200 feet on its way up in 2 seconds and on the way down in 38 seconds.