SOLUTION: Given that coordinates of P amd Q are (-2,6) and (9,3) , find a) cooridantes of point R that lies on y axis such that PR =QR b) coordinates of point S that lies on x axis such

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Question 1127181: Given that coordinates of P amd Q are (-2,6) and (9,3) , find
a) cooridantes of point R that lies on y axis such that PR =QR
b) coordinates of point S that lies on x axis such as PS=QS

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
given:
amd are (,) and (,) ,
find:

a) cooridantes of point that lies on axis such that
if point that lies on axis, cooridantes will be (,)
use distance formula to find
(,) and (,)





(,) and (,)




=>






cooridantes of point : (,)

proof that
Solved by pluggable solver: Distance Between 2 points
The distance formula is . Plug in the numbers,

The distance is 14.4688942217434.




Solved by pluggable solver: Distance Between 2 points
The distance formula is . Plug in the numbers,

The distance is 14.4695853430567.





b)
coordinates of point that lies on axis such as
that lies on axis :(,)

distance formula again
(,) and (, )





(,) and (, )



=>










so, the point is at (,)
proof: PS=QS
Solved by pluggable solver: Distance Between 2 points
The distance formula is . Plug in the numbers,

The distance is 7.36429901619971.




Solved by pluggable solver: Distance Between 2 points
The distance formula is . Plug in the numbers,

The distance is 7.3683715975784.









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