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Question 904564: A city map is placed on a coordinate grid. The post office is located at the point P(5, 35), the library is located at the point L(15, 10), and the fire station is located at the point F (9, 25). What is the ratio of the length of PF to the length of LF? I dont quite understand.
Answer by richwmiller(17219) (Show Source):
You can put this solution on YOUR website! (15,10)(9,25) 'lf
d=sqrt((x2-x1)^2)+(y2-y1)^2)
d=sqrt(+(9-15)^2)+(25-10)^2
d=sqrt(+(-6)^2)+(15)^2
d=sqrt(36+225)
d=sqrt(261)
lf=16.1554944
(5,35)(15,10) 'pl
d=sqrt((x2-x1)^2)+(y2-y1)^2)
d=sqrt(+(15-5)^2)+(10-35)^2
d=sqrt(+(10)^2)+(-25)^2
d=sqrt(100+625)
d=sqrt(725)
pl=26.925824
(5,35)(9,25) 'pf
d=sqrt((x2-x1)^2)+(y2-y1)^2)
d=sqrt(+(9-5)^2)+(25-35)^2
d=sqrt(+(4)^2)+(-10)^2
d=sqrt(16+100)
d=sqrt(116)
pf=10.770329
pf=10.770329
lf=16.1554944
pf/lf=10.770329/16.1554944=0.66666662952759898205281789457338= about 2/3
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