211 2.1 Rectangular Coordinates and Graphs Find the coordinates of the other endpoint of each line segment, given its midpoint and one endpoint. See Example 5(b). 35. midpoint 15, 82, endpoint 113, 102 36. midpoint 1-7, 62, endpoint 1-9, 92 37. midpoint 112, 62, endpoint 119, 162 38. midpoint 1-9, 82, endpoint 1-16, 92 39. midpoint 1a, b2, endpoint 1p, q2 40. midpoint 16a, 6b2, endpoint 13a, 5b2 Determine whether the three points are the vertices of a right triangle. See Example 3. 23. 1-6, -42, 10, -22, 1-10, 82 24. 1-2, -82, 10, -42, 1-4, -72 25. 1-4, 12, 11, 42, 1-6, -12 26. 1-2, -52, 11, 72, 13, 152 27. 1-4, 32, 12, 52, 1-1, -62 28. 1-7, 42, 16, -22, 10, -152 Determine whether the three points are collinear. See Example 4. 29. 10, -72, 1-3, 52, 12, -152 30. 1-1, 42, 1-2, -12, 11, 142 31. 10, 92, 1-3, -72, 12, 192 32. 1-1, -32, 1-5, 122, 11, -112 33. 1-7, 42, 16, -22, 1-1, 12 34. 1-4, 32, 12, 52, 1-1, 42 Solve each problem. See Example 6. 41. Bachelor’s Degree Attainment The graph shows a straight line that approximates the percentage of Americans 25 years and older who had earned bachelor’s degrees or higher for the years 1999–2017. Use the midpoint formula and the two given points to estimate the percent in 2008. Compare the answer with the actual percent of 29.4. Percent Data from U.S. Census Bureau. Year Percent of Bachelor’s Degrees or Higher 1999 2008 2017 10 20 40 30 25.2 34.2 42. Newspaper Advertising Revenue The graph shows a straight line that approximates total advertising revenue, in billions of dollars, for newspapers in the United States for the years 2011–2017. Use the midpoint formula and the two given points to estimate revenue in 2014. Compare the answer with the actual figure of 22.1 billion dollars. Revenue (in billions of dollars) Data from Pew Research Center. Year Total Advertising Revenue for Newspapers 2011 2014 2017 5 25 10 15 20 30 27.1 16.5
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