Two roads that cross at right angles are used as the coordinate axes for a city map. A restaurant is located at the point (-2.5, 3.75). How far is the restaurant from each road?

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Answer 1 · 2018-07-22T22:26:19

the restaurant is #3.75\ \text{miles}# to road X & #2.5\ \text{miles}# to road Y

The given point #(x, y)\equiv(-2.5, 3.75)# represents the location of a restaurant then

The distance of restaurant from road X

#=|\text{y-coordinate of point}(-2.5, 3.75)|#

#=|3.75|#

#=3.75\ \text{miles}#

The distance of restaurant from road Y

#=|\text{x-coordinate of point}(-2.5, 3.75)|#

#=|-2.5|#

#=2.5\ \text{miles}#

hence, the restaurant is #3.75\ \text{miles}# to road X & #2.5\ \text{miles}# to road Y