Mathematics, 31.10.2019 03:31 tynitenaire
Point r has coordinates (1,3) and point s has coordinates (6,y). if the distances from r to s is 13 units, what are the possible values of y?
Answers: 2
![\sqrt{(6-1)^2+(y-3)^2}=13\\\\\Rightarrow 25+(y-3)^2=169~~~~~~~~~~~~[\textup{Squaring both sides}]\\\\\Rightarrow (y-3)^2=169-25\\\\\Rightarrow (y-3)^2=144\\\\\Rightarrow y-3=\pm12~~~~~~~~~~~~~~~~~~~[\textup{Taking square root on both sides}]\\\\\Rightarrow y=12+3,~~-12+3\\\\\Rightarrow y=15,-9.](/tpl/images/0353/7263/b6df7.png)
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Point r has coordinates (1,3) and point s has coordinates (6,y). if the distances from r to s is 13...
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