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Pre-Calculus Homework Solutions 120

# Pre-Calculus Homework Solutions 120 - Find x y y y F(0 6 E...

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Find an equation of the median from F (0, 6) to the midpoint of D w E w . The midpoint of D w E w is (1, 2). The slope of the median is 2 4. y 2 y 1 5 ¬ m ( x 2 x 1 ) y 2 6 5 ¬ 2 4( x 2 0) y 2 6 5 ¬ 2 4 x y 5 ¬ 2 4 x 1 6 Solve a system of equations to find the point of intersection of the medians. Find x . y 5 ¬ 2 x 1 4 y 5 ¬ 2 4 x 1 6 2 4 x 1 6 5 ¬ 2 x 1 4 6 5 ¬ 3 x 1 4 2 5 ¬ 3 x } 2 3 } 5 ¬ x Replace x with } 2 3 } in one of the equations to find the y -coordinate. y 52 } 2 3 } 1 4 y 5 3 } 1 3 } The coordinates of the centroid are 1 } 2 3 } ,3 } 1 3 } 2 . 8. Find an equation of the altitude from D (4, 0) to E w F w . The slope of E w F w is 1, so the slope of the altitude is 2 1. y 2 y 1 5 ¬ m ( x 2 x 1 ) y 2 0 5 ¬ 2 1( x 2 4) y 5 ¬ 2 x 1 4 Find an equation of the altitude from F (0, 6) to D w E w . The slope of D w E w is 2 } 2 3 } , so the slope of the altitude is } 3 2 } . y
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