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Piecewise functions ff and gg can model the heights (in meters) of two airplanes. Here are the graphs of ff and gg, where tt is the number of minutes that have passed since noon at a local airport. 20\small{20} 40\small{40} 60\small{60} 80\small{80} 100\small{100} gg00 gg11 gg22 gg33 gg44 gg55 gg66 gg77 gg88 gg99 ff00 ff11 ff22 tt ff44 ff55 The airplanes have the same height about ff66 minutes after noon. What is the other time the airplanes have the same height? Round your answer to the nearest ten minutes. About minutes after noon

Full solution

Q. Piecewise functions ff and gg can model the heights (in meters) of two airplanes. Here are the graphs of ff and gg, where tt is the number of minutes that have passed since noon at a local airport. 20\small{20} 40\small{40} 60\small{60} 80\small{80} 100\small{100} gg00 gg11 gg22 gg33 gg44 gg55 gg66 gg77 gg88 gg99 ff00 ff11 ff22 tt ff44 ff55 The airplanes have the same height about ff66 minutes after noon. What is the other time the airplanes have the same height? Round your answer to the nearest ten minutes. About minutes after noon
  1. Find Intersection Points: \newlineLook at the graph to find the points where ff and gg intersect.
  2. Identify First Intersection: We know they intersect at 99 minutes. Find the other intersection point by looking at the graph.
  3. Locate Second Intersection: Check the graph for another intersection point. It looks like they intersect again around 100100 minutes.
  4. Round to Nearest Ten: Round 100100 minutes to the nearest ten minutes.
  5. Final Rounded Value: \newline100100 is already a multiple of ten, so the rounded value is 100100 minutes.

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