+0  
 
-1
719
4
avatar+1015 

Point R is located at  (3, 2) and point S is located at (8, 15) .

What are the coordinates of the point that partitions the directed line segment RS¯¯¯¯¯ in a  1:4 ratio?

AngelRay  Nov 8, 2017

Best Answer 

 #2
avatar+7072 
+1

*edit* I changed this answer because I'm pretty sure my old answer was wrong.

 

The new x  coordinate will be  3 + 1/(4 + 1) * (the positive difference of the x coordinates)    , and

the new  y  coordinate will be  2 + 1/(4 + 1) * (the positive difference of the y coordinates)

 

the new  x  coordinate   =   3 + 1/5(8 - 3)   =   3 + 5/5   =   4

the new  y  coordinate   =   2 + 1/5(15 - 2)   =   2 + 13/5   =   4.6

 

So the new coordinates are     ( 4 , 4.6 )

hectictar  Nov 8, 2017
edited by hectictar  Dec 11, 2017
edited by hectictar  Dec 11, 2017
 #1
avatar+1015 
0

The RS has a line over it. I dont know how to put it on there. 

AngelRay  Nov 8, 2017
 #2
avatar+7072 
+1
Best Answer

*edit* I changed this answer because I'm pretty sure my old answer was wrong.

 

The new x  coordinate will be  3 + 1/(4 + 1) * (the positive difference of the x coordinates)    , and

the new  y  coordinate will be  2 + 1/(4 + 1) * (the positive difference of the y coordinates)

 

the new  x  coordinate   =   3 + 1/5(8 - 3)   =   3 + 5/5   =   4

the new  y  coordinate   =   2 + 1/5(15 - 2)   =   2 + 13/5   =   4.6

 

So the new coordinates are     ( 4 , 4.6 )

hectictar  Nov 8, 2017
edited by hectictar  Dec 11, 2017
edited by hectictar  Dec 11, 2017
 #3
avatar+1015 
0

Can you tell me what the answer is as a decimal?

AngelRay  Nov 10, 2017
 #4
avatar+7072 
0

I changed my answer now...sorry about that!   blush

hectictar  Nov 10, 2017
edited by hectictar  Dec 11, 2017

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