2. Angelica uses the point to represent the location of her house and uses the point to represent the location of a gas station. Each unit on the graph represents 1 mi. How far is the gas station from Angelica’s house? Show your work. Hint: draw the right triangle in the graph.
Angelicas (4,3) Gas Station (10,8)
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Step-byFrom the graph, angelica's house is represented by the point (4, 3) and the gas station is represented by the point (10, 8).
The distance between two given points in the xy-plane is given by
where:
Thus
Therefore, the distance of the gas station from Angelica's house is 7.81 miles.-step explanation:
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