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Warm up. Solve 1. 12 – 6r = 2r + 36 2. 3k – 5 = 7k + 7 3. 2(x + 4) = 6x. r = -3. k = -3. x = 2. Review the HW. The Distance Formula. Example Find the distance between (1, 4) and (-2, 3). Round to the nearest hundredths. D = 3.16. Example
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Warm up Solve 1. 12 – 6r = 2r + 36 2. 3k – 5 = 7k + 7 3. 2(x + 4) = 6x r = -3 k = -3 x = 2
Example Find the distance between (1, 4) and (-2, 3). Round to the nearest hundredths. D = 3.16
Example Find the distance between the points, (10, 5) and (40, 45). Round to the nearest hundredths. D = 50
3. Find the distance between the points. Round to the nearest tenths. 3.6
4. Find the distance between the points. Round to the nearest tenths. 3.2
Pythagorean Theorem Word Problems • A square has a diagonal with length of 20 cm. What is the measure of each side? Round to the nearest tenths. x = 14.1 cm
Pythagorean Theorem Word Problems • A 25 foot ladder is leaning against a building. The foot of the ladder is 15 feet from the base of the building. How high is the top of the ladder along the building? Round to the nearest tenths. x = 20 ft
Pythagorean Theorem Word Problems • Ashley travels 42 miles east, then 19 miles south. How far is Ashley from the starting point? Round to the nearest tenths. x = 46.1 miles
Pythagorean Theorem Word Problems • What is the length of the altitude of an equilateral triangle if a side is 12 cm? Round to the nearest tenths. x = 10.4 cm
ClassworkRound to the nearest tenths. Worksheet
Conclusions Parallel • Same slope means sides are parallel • Opposite reciprocal slopes mean perpendicular segments (90) Distance • Same distance means segments are congruent