Question
What is the distance traveled by an Uber that leaves from point A (-5, 2), passes through point B (0, 2) to pick up a passenger and drops them off at point C (4, 5). Consider each unit in the plan as 1km.
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Answer to a math question What is the distance traveled by an Uber that leaves from point A (-5, 2), passes through point B (0, 2) to pick up a passenger and drops them off at point C (4, 5). Consider each unit in the plan as 1km.
Adonis
4.4105 Answers
1. Calculamos a distância entre os pontos A(-5, 2) e B(0, 2):
d_{AB} = \sqrt{(0 - (-5))^2 + (2 - 2)^2}
d_{AB} = \sqrt{(5)^2 + (0)^2}
d_{AB} = \sqrt{25}
d_{AB} = 5 \text{ km}
2. Calculamos a distância entre os pontos B(0, 2) e C(4, 5):
d_{BC} = \sqrt{(4 - 0)^2 + (5 - 2)^2}
d_{BC} = \sqrt{(4)^2 + (3)^2}
d_{BC} = \sqrt{16 + 9}
d_{BC} = \sqrt{25}
d_{BC}=5\text{ km}
3. Somamos as duas distâncias para obter a distância total percorrida:
d_{total} = d_{AB} + d_{BC}
d_{total}=5\text{ km}+5\text{ km}
d_{total}=10\text{ km}
2. Calculamos a distância entre os pontos B(0, 2) e C(4, 5):
3. Somamos as duas distâncias para obter a distância total percorrida:
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