PP Section 11.1 - The Basic Equations Know Facts Distance...

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The Basic Equations
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Know Facts ( 29 ( 29 ( 29 2 1 2 2 1 2 2 1 2 2 2 1 1 1 , : ) , ( and ) , ( between Distance y y x x P P d y x P y x P - + - = = = ( 29 ( 29 2 2 2 : radius and ) , ( C at centered circle a of Equation r k y h x r k h = - + - = 1 2 1 2 2 2 2 1 1 1 : ) , ( and ) , ( through line of Slope x x y y m y x P y x P - - = = =
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) ( : formula slope - Point 0 0 x x m y y - = - b mx y + = : formula intercept - Slope + + = = 2 , 2 : ) , ( and ) , ( between Midpoint 2 1 2 1 2 2 2 1 1 1 y y x x y x P y x P 2 1 2 2 1 1 : to parallell is m m b x m y b x m y = + = + = 2 1 2 2 1 1 1 : lar to perpendicu is m m b x m y b x m y - = + = + =
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Example ) 2 , 1 ( ), 8 , 3 ( Let 2 1 - = = P P Find the distance between the points. ( 29 ( 29 ( 29 2 1 2 2 1 2 2 1 , y y x x P P d - + - = ( 29 ( 29 2 2 8 2 3 1 - + - - = 36 16 + = 13 2 52 = =
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Find the midpoint of the segment determined by the points. ( 29 x y x x y y , , = + + 1 2 1 2 2 2 ( 29 5 , 1 2 2 8 , 2 ) 1 ( 3 = + - + =
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This note was uploaded on 01/22/2011 for the course MATH 2 taught by Professor Gardner during the Fall '08 term at Irvine Valley College.

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PP Section 11.1 - The Basic Equations Know Facts Distance...

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