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CHAPTER_ppt_10_3

# CHAPTER_ppt_10_3 - 1 2 y y x x d-= The Distance Formula...

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Martin-Gay, Beginning and Intermediate Algebra, 4ed 2 . n n n a b ab × = Product Rule for Radicals Product Rule for Radicals n a n b If and are real numbers, then
Martin-Gay, Beginning and Intermediate Algebra, 4ed 3 Simplify the following radical expressions. = 40 = 10 4 10 2 15 No perfect square factor, so the radical is already simplified. Simplifying Radicals Example: = 3 16 = 3 2 8 = 3 3 2 8 3 2 2

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Martin-Gay, Beginning and Intermediate Algebra, 4ed 4 n n n a a b b = n a n b If and are real numbers, Quotient Rule Radicals and is not zero, then n b Quotient Rule for Radicals
Martin-Gay, Beginning and Intermediate Algebra, 4ed 5 Simplify the following radical expressions. = 3 64 3 = 3 3 64 3 4 3 3 Simplifying Radicals Example: = 16 5 = 16 5 4 5

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Martin-Gay, Beginning and Intermediate Algebra, 4ed 6 Simplify the following radical expressions. = 7 x = x x 6 = x x 6 x x 3 = 16 20 x = 16 20 x = 8 5 4 x 8 5 2 x Simplifying Radicals Example:
Martin-Gay, Beginning and Intermediate Algebra, 4ed 7 The distance d between two points ( x 1 , y 1 ) and ( x 2 , y 2 ) is given by ( 29 ( 29 2 1 2 2

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Unformatted text preview: 1 2 y y x x d-+-= The Distance Formula Distance Formula Martin-Gay, Beginning and Intermediate Algebra, 4ed 8 Find the distance between (-5, 8) and (-2, 2). ( 29 ( 29 2 1 2 2 1 2 y y x x d-+-= ( 29 ( 29 2 2 2 8 ) 2 ( 5-+---= d ( 29 ( 29 2 2 6 3 +-= d 5 3 45 36 9 = = + = d The Distance Formula Example: Martin-Gay, Beginning and Intermediate Algebra, 4ed 9 The midpoint of the line segment whose endpoints are ( x 1 , y 1 ) and ( x 2 , y 2 ) is the point with coordinates 1 2 1 2 , 2 2 x x y y + + ÷ The Midpoint Formula Midpoint Formula Martin-Gay, Beginning and Intermediate Algebra, 4ed 10 Find the midpoint of the line segment that joins points P (-5, 8) and P (-2, 2). 1 2 1 2 , 2 2 x x y y + + ÷ The Midpoint Formula ( 29 5 2 ( ) ( ) , 8 2 2 2 +-+-= ( 29 7 10 , 2 2-= ( 29 3.5,5 = -Example:...
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CHAPTER_ppt_10_3 - 1 2 y y x x d-= The Distance Formula...

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