£99 is shared in the ratio 6 : 5 What is the larger share?
1 answer:
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Answer:
The coordinates of point R are (6 , 3)
Step-by-step explanation:
* Lets revise the rule of the mid-point
- The mid point (x , y)of a line whose end points are
and is
∵ M is the mid point of line RS
∵ The coordinates of point M are (7 , 5)
∴ x = 7 and y = 5
∵ The coordinates of point R are
∵ The coordinates of point S are (8 , 7)
∴ = (8 , 7)
∴ and
- By using the rule above
∵
∵
- Multiply both sides by 2
∴
- Subtract both sides by 8
∴
∴ the x-coordinate of point R is 6
∵
∵
- Multiply both sides by 2
∴
- Subtract both sides by 7
∴
∴ the y-coordinate of point R is 3
* The coordinates of point R are (6 , 3)