The cross section of house roof is modelled by the function  y= -5\12|x-12|+ 5 where y>0 or y=0.Find the slope,height,length of sides and base.

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The graph has its highest point at (12, 5) and crosses the x axis at (0, 0) and (24, 0). The slope on the left side is 5/12. The slope on the right side is -5/12 The height is 5 , the base is 24, and using the Pythagorean theorem with 5 and 12 you get 13 for the sides.