The approximate distance Mike and Lilly will have to travel between halfway point and Library is 7.8 miles.
From the graph :
- Mike's coordinate = (-4, 2)
- Lilly's coordinate = (2, - 2)
- Library coordinate = (4, 6)
Meeting point = Halfway point :
(x1 + x2) /2 ; (y1 + y2) / 2
X - coordinate = (-4 + 2) / 2 = - 2/ 2 = - 1
Y - coordinate = (2 + (-2)) /2 = 0/2 = 0
Hence, meeting point = (-1, 0)
The distance between meeting point and library :
Distance = √[(x2 - x1)² + (y2 - y1)²]
Distance = √[(4 - (-1))² + (6 - 0)²]
Distance = √(25 + 36)
Distance = √61 = 7.8 miles
Therefore, the distance between halfway point and library ls approximately 7.8 miles
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