Beginning Algebra, 11th Edition

7.8 Variation Solving Variation Problems Step 1 Write the variation equation. or Direct variation or Inverse variation Step 2 Fi ...

488 CHAPTER 7 Rational Expressions and Applications 7.2 Multiply or divide, and write each answer in lowest terms. ...

CHAPTER 7 Review Exercises 489 7.7 Solve each problem. 50.In a certain fraction, the denominator is 5 less than the numerator. I ...

490 CHAPTER 7 Rational Expressions and Applications EXERCISES 71–80 FOR INDIVIDUAL OR GROUP WORK In these exercises, we summariz ...

CHAPTERS 1–7 Cumulative Review Exercises 491 Rewrite each rational expression with the given denominator. Add or subtrac ...

492 CHAPTER 7 Rational Expressions and Applications Simplify each expression. Write with only positive exponents. Perfor ...

The London Eye is a unique Ferris wheel that features 32 observation capsules and has a diameter of 135 m. Located on the bank o ...

494 CHAPTER 8 Roots and Radicals OBJECTIVES OBJECTIVE 1 Find square roots.In Section 1.2,we discussed the idea of the squareof a ...

Finding Square Roots Find each square root. (a) The radical represents the positive or principal square root of 144. Think of a ...

OBJECTIVE 2 Decide whether a given root is rational, irrational, or not a real number.Numbers with square roots that are rationa ...

Approximating Irrational Square Roots Find a decimal approximation for each square root. Round answers to the nearest thousandth ...

Using the Pythagorean Theorem to Solve an Application A ladder 10 ft long leans against a wall. The foot of the ladder is 6 ft f ...

OBJECTIVE 5 Use the distance formula.Consider FIGURE 3. The distance between the points and is and the distance between the poin ...

Finding Cube Roots Find each cube root. (a) What number can be cubed to give 8? Because (b) , because (c) because. NOW TRY Notic ...

Find each square root. See Examples 2 and 4(c). Find the square of each radi ...

Solve each problem. Give any decimal approximations to the nearest tenth. See Example 7. 502 CHAPTER 8 Roots and Radicals 25 cm ...

One of the many proofs of the Pythagorean theorem was given in the Connections boxin this section. Two more are given in Exercis ...

93.Concept Check To help find cube roots, complete this list of perfect cubes. 94.Concept Check To help find fourth roots, compl ...

Using the Product Rule to Multiply Radicals Use the product rule for radicals to find each product. EXAMPLE 1 SECTION 8.2 Multip ...

Multiplying and Simplifying Radicals Find each product and simplify. (a) Factor; 25 is a perfect square. Product rule Multiply. ...