41) Whenever he visits Greenpoint, Colin has to drive 7 miles due north from home. Whenever he visits Westford, he has to drive 7 miles due east from home. How far apart are Greenpoint and Westford, measured in a straight line? If necessary, round to the nearest tenth.

To find the straight-line distance between Greenpoint and Westford, we can use the Pythagorean theorem. Colin drives 7 miles north to reach Greenpoint and 7 miles east to reach Westford. This creates a right triangle where: - One leg (northward distance) = 7 miles - The other leg (eastward distance) = 7 miles According to the Pythagorean theorem: \[ c = \sqrt{a^2 + b^2} \] where \(c\) is the hypotenuse (the straight-line distance between Greenpoint and Westford), and \(a\) and \(b\) are the lengths of the other two sides. Substituting the values: \[ c = \sqrt{7^2 + 7^2} \] \[ c = \sqrt{49 + 49} \] \[ c = \sqrt{98} \] \[ c \approx 9.899 \] Rounding to the nearest tenth, the distance between Greenpoint and Westford is approximately **9.9 miles**.