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What are path functions?
a function whose magnitude depends on the path followed by the function and on the end points.
Identify an equation in slope-intercept from for the line parallel to y=4x-9 that passes through (-5,3)?
A walking path across a park is represented by the equation y = –4x + 10. A new path will be built perpendicular to this path. The paths will intersect at the point (4, –6). Identify the equation that represents the new path.
A rectangular garden has dimensions of 15 feet by 11 feet A gravel path of uniform width is to be built around the garden How wide can the path be if there is enough gravel for 192 square feet?
x = the width of the path. A = area of path = (15+x)(11+x) - (15*11) = (15*11)+15x+11x-(15*11) = 15x+11x = 26x 192 ft2 = 26x x = 192/26 ~= 7.38 feet.
A path 1m wide is built along the border and inside a square garden of side 30cmfind the area of the path?
Let ABCD be the border of square garden of side 30m and the shaded region be the path Then AD = 30m , XP=1m, SY = 1m and XY = AD ⇒ XP + PS + SY = AD ⇒ PS = AD - XP - SY = 30m - 1m - 1m = 28m ∴ PQRS in a square of side 28m ∴ The area of path = Area of ABCD - Area of PQRS
Is a set of points forming a straight path extending infinitely in opposite directions?
parallel lines
