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Lesechka [4]
3 years ago
11

What ere the coordinates of the point on the directed line segment from (-1,7) to (7,7) that partitions the segment into a ratio

of 6 to 5?​
Mathematics
1 answer:
djverab [1.8K]3 years ago
5 0

Answer:

(\frac{37}{11},\frac{77}{11}  )

Step-by-step explanation:

Given two points are (-1,7) and (7,7).

We are told to find a point which is in between them at a ratio of 6:5.

Formula for calculating a point at distance of ratio m:n is given by

(\frac{mx2+nx1}{m+n} ,\frac{my2+ny1}{m+n} )

where (x1,y1),(x2,y2) are the inital and final points.

(x1,y1)=(-1,7)\\\\(x2,y2)=(7,7)

also m:n=6:5 ,

by substituting all the values we get,

(\frac{6*7+5*-1}{11} ,\frac{6*7+5*7}{11} )

(\frac{37}{11},\frac{77}{11}  )

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