Which of the points given divide the line segment from A(2, 5) to B(7, 9) in the ratio 2:3?

2017-04-01 6:22 am

A) (4.5, 6.5)
B) (5.3,7.6)
C) (4, 6.6)
D) (3.3,7.5 )

回答 (4)

2017-04-01 6:53 am

✔ 最佳答案

(2(7, 9)+3(2, 5))/(3+2) = ((14,18)+(6,15))/5 = (20,33)/5 = (4, 6.6)
The correct answer is: C) (4, 6.6)

參考: The point that partitions the line segment A to B into a ratio of a:b is (bA+aB)/(a+b).

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2017-04-01 6:28 am

x: 2 + (2/5)(7 - 5) = 4
y: 5 + (2/5)(9 - 5) = 6.6, so it was
C) (4, 6.6)

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2017-04-01 6:28 am

c
(2(7)+3(2)/(2+3)=14+6/5=4
(2(9)+3)(5)/(2+3)=33/5=6.6
(4,6.6)

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2017-04-01 7:50 am

obviously C)....x moves 5 units and 2/5th of 5 is 2 , and 2 + 2 = 4 for the correct x value

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