How long does it take the object to hit the ground? (Hint: The height is 0 when the object hits the ground.)ġ00. The height in feet of an object dropped from a 9‑foot ladder is given by h ( t ) = − 16 t 2 + 9, where t represents the time in seconds after the object has been dropped. If the diagonal measures 2 feet, then find the dimensions of the rectangle.ĩ9. The length of a rectangle is 3 times its width. If the diagonal measures 5 meters, then find the dimensions of the rectangle.ĩ8. If the diagonal measures 8 feet, then find the dimensions of the rectangle.ĩ7. ![]() The length of a rectangle is twice its width. If the diagonal measures 10 feet, then find the dimensions of the rectangle.ĩ6. The diagonal of a square measures 3 inches. The diagonal of a square measures 5 inches. If the sides of a square measure 2 units, then find the length of the diagonal.ĩ3. If the sides of a square measure 1 unit, then find the length of the diagonal.ĩ2. By what amount will the radius have to be increased to create a circle with double the given area?ĩ1. By what equal amount will the sides have to be increased to create a square with double the given area?ĩ0.Ě circle has an area of 25 π square units. If the area is 16 square centimeters, then find the length of its base.Ĩ9.Ě square has an area of 36 square units. The base of a triangle is twice its height. If the area is 96 square inches, then find the dimensions of the rectangle.Ĩ8. The length of a rectangle is 6 times its width. (The surface area of a sphere is given by S A = 4 π r 2.)Ĩ7. The surface area of a sphere is 75 π square centimeters. (The volume of a right circular cone is given by V = 1 3 π r 2 h.)Ĩ6. The volume of a right circular cone is 36 π cubic centimeters when the height is 6 centimeters. If a circle has an area of 32 π square centimeters, then find the length of the radius.Ĩ5. If a square has an area of 8 square centimeters, then find the length of each side.Ĩ4. If 3 is added to 2 times the square of a number, then the result is 12. If 1 is added to 3 times the square of a number, then the result is 2. If 20 is subtracted from the square of a number, then the result is 4. If 9 is subtracted from 4 times the square of a number, then the result is 3. ![]() Set up an algebraic equation and use it to solve the following.ħ9. Solve and round off the solutions to the nearest hundredth.ħ7. Check answers.įind a quadratic equation in standard form with the following solutions. Solve by factoring and then solve by extracting roots. zip file containing this book to use offline, simply click here. You can browse or download additional books there. More information is available on this project's attribution page.įor more information on the source of this book, or why it is available for free, please see the project's home page. Additionally, per the publisher's request, their name has been removed in some passages. However, the publisher has asked for the customary Creative Commons attribution to the original publisher, authors, title, and book URI to be removed. Normally, the author and publisher would be credited here. This content was accessible as of December 29, 2012, and it was downloaded then by Andy Schmitz in an effort to preserve the availability of this book. ![]() See the license for more details, but that basically means you can share this book as long as you credit the author (but see below), don't make money from it, and do make it available to everyone else under the same terms. If you get stuck on the fractions, the right-hand term in the parentheses will be half of the x-term.This book is licensed under a Creative Commons by-nc-sa 3.0 license. We especially designed this trinomial to be a perfect square so that this step would work: Now rewrite the perfect square trinomial as the square of the two binomial factors ![]() That is 5/2 which is 25/4 when it is squared Now we complete the square by dividing the x-term by 2 and adding the square of that to both sides of the equation. X² + 5x = 3/4 → I prefer this way of doing it Or, you can divide EVERY term by 4 to get ĭivide through the x² term and x term by 4 to factor it out So, we have to divide the x² AND the x terms by 4 to bring the coefficient of x² down to 1. In the example following rule 2 that we were supposed to try, the coefficient of x² is 4. As shown in rule 2, you have to divide by the value of a (which is 4 in your case). You are correct that you cannot get rid of it by adding or subtracting it out. This would be the same as rule 2 (and everything after that) in the article above.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |