E1notes - (0 ; 0) ! any point in the coordinate system can...

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Supplementary Course Module E: Geometry Assignment 1 & Geometric Formulae; Cartesian Coordinate System Geometric Formulae Two-dimensional Shapes: Triangle ! area, A = 1 2 bh b h Trapezoid ! area, A = 1 2 ( a + b ) h b h a Circle ! area, A = 2 ! circumference, C = 2 r Three-dimensional Solids: Sphere ! volume, V = 4 3 3 ! surface area, A = 4 2 r Cylinder ! volume, V = 2 h ! surface area, A = 2 2 + 2 r h Cone ! volume, V = 1 3 2 h ! surface area, A = p r 2 + h 2 r h C artesian Coordinate System -4 -2 2 4 -4 -2 2 4 x y ! the horizontal axis is used for the independent variable’s scale ! the vertical axis is used for the dependent variable’s scale ! the origin is the point at which the axes intersect,
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Unformatted text preview: (0 ; 0) ! any point in the coordinate system can be represented by a unique pair of values ( x;y ) 1 & Consider two points in the coordinate system, P ( x 1 ;y 1 ) and Q ( x 2 ;y 2 ) . & the distance between P and Q is given by: d = q ( x 2 ± x 1 ) 2 + ( y 2 ± y 1 ) 2 & the midpont between P and Q is given by: ( x; y ) = & 1 2 ( x 2 + x 1 ) ; 1 2 ( y 2 + y 1 ) ± & the slope of the line segment joining P and Q is given by: m = y 2 ± y 1 x 2 ± x 1 2...
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This note was uploaded on 11/25/2010 for the course BUSINESS BU111 taught by Professor Yost during the Fall '10 term at Wilfred Laurier University .

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E1notes - (0 ; 0) ! any point in the coordinate system can...

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