The birds shown on the graph below are flying toward one another at the same speed and same altitude on a straight line course. The birds start from points A(-4,4) and B(10,-2). How far will each bird fly (to the nearest mile) before they collide, if each grid on the graph represents 5 miles?
[1] 8 miles
[2] 10 miles
[3] 38 miles
[4] 40 miles
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The distance between the two birds = AB
= √[ (-4-10)² + {4 -(-2)}² ] = √232 = 2 √58 units
The two birds travel at equal speeds. So they will meet at the center.
So each bird will travel a distance AB / 2 units
= √58 units
≈ 7.6 * 5 miles , as each unit on the graph = 5 miles
= 38 miles
= √[ (-4-10)² + {4 -(-2)}² ] = √232 = 2 √58 units
The two birds travel at equal speeds. So they will meet at the center.
So each bird will travel a distance AB / 2 units
= √58 units
≈ 7.6 * 5 miles , as each unit on the graph = 5 miles
= 38 miles
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