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13-7 Warm-ups Solve. 1. 2.
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13-7 Using Quadratic Equations
Chapter 13
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Example 1 A picture frame measure 20 cm by 14 cm. The picture, inside the frame, takes up 160 square centimeters. Find the width of the frame. 14 cm 160 cm2 20 cm
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Example 1 Solve. Check: When x = 15, 20 – 2x = –10, and 14 – 2x = –16.
The width of the picture frame is 2 cm.
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Try This a. A rectangular garden is 80 m by 60 m. Part of the garden is torn up to install a strip of lawn of equal width around the garden. The new area of the garden is 800 m2. How wide is the strip of lawn?
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Example 2 The hypotenuse of a right triangle is 6 cm long. One leg is 1 m longer than the other. Find the lengths of the legs. Round to the nearest hundredth. 6 x X+1
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Example 2 Solve. Since we cannot factor, we use the quadratic formula.
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Example 2 or One leg is about 3.72 m and the other is about 4.72m long.
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Try This b. The hypotenuse of a right triangle is 4 cm long. One leg is 1 cm longer than the other. Find the lengths of the legs. Round to the nearest tenth.
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