Point A is at (6,1) and point C is at (2,-7) find the coordinates of point B on AC such that AB = 1/3BC

  B = (5, -1)

Step-by-step explanation:

We can use the required relation to find an expression for B in terms of the given points.

  AB = (1/3)(BC)

  B -A = (1/3)(C -B)

  B = (1/3)C -(1/3)B +A . . . . . add A

  (4/3)B = (1/3)C +A . . . . . . . add 1/3B

  B = (1/4)C +(3/4)A = (C +3A)/4 . . . . . . multiply by 3/4

  B = ((2, -7) +3(6, 1))/4 = (20/4, -4/4) . . . . . substitute given values

  B = (5, -1)

add all the numbers and check the ones place.

the answer is 486. as the ones place is more than 4, the estimation will be the next 10 ie, 490

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068