1. The direct path from Julie’s house at (-2, 5) to Jimmy’s house at (6, -2) is found using the distance formula:
d = √[(6 - (-2))² + (-2 - 5)²] = √[(8)² + (-7)²] = √[64 + 49] = √113 ≈ 10.63 miles.
2. Assign the concert location as origin (0, 0). Riley’s home is at (-6, 3), Brown’s home is at (2, -4).
Distance between them: d = √[(2 - (-6))² + (-4 - 3)²] = √[(8)² + (-7)²] = √[64 + 49] = √113 ≈ 10.63 miles.
3. Enemy patrol is at (7, 11), helicopter is at (1, 3).
Shortest distance: d = √[(7 - 1)² + (11 - 3)²] = √[(6)² + (8)²] = √[36 + 64] = √100 = 10 miles.
4. Walt City at (-1, -3), Koshville at (4, 9).
Train route distance: d = √[(4 - (-1))² + (9 - (-3))²] = √[(5)² + (12)²] = √[25 + 144] = √169 = 13 miles.
5. Kaleem at (1, 3), Jeremy at (-6, 3). Since y-coordinates are same, distance is |1 - (-6)| = 7 yards.
Parent Tip: Review the logic above to help your child master the concept of distance formula word problems worksheet.
