Ab and b c form a right angle at point b. if a = (-3, -1) and b = (4, 4), what is the equation of b c ? a. x + 3y = 16 b. 2x + y = 12 c. -7x − 5y = -48 d. 7x − 5y = 48

Answer is (C) ⇒ -7x - 5y = -48

Step-by-step explanation:

∵ AB ⊥ BC

∵ A (-3 , -1) , B (4 , 4)

Let C (x , y)

∵ (AC)² = (AB)² + (BC)²

∵ (AB)² = (4 - -3)² + (4 - -1)² = 49 + 25 = 74

∵ (BC)² = (x - 4)² + (y - 4)² = x² - 8x + 16 + y² - 8y + 16

∴ (BC)² = x² + y² - 8x - 8y + 32

∵ (AC)² = (x - -3)² + (y - -1)² = (x + 3)² + (y + 1)²

∴ (AC)² = x² + 6x + 9 + y² + 2y + 1 = x² + y² + 6x + 2y + 10

∴ x² + y² + 6x + 2y + 10 = 74 + x² + y² - 8x - 8y + 32

∴ 6x + 8x + 2y + 8y = 74 + 32 - 10

∴ 14x + 10y = 96 ⇒ ÷ 2

∴ 7x + 5y = 48 ⇒ × -1

∴ -7x - 5y = -48 ⇒ answer (C)

easy its decreasing

step-by-step explanation:

because its top point is at the to of the graph on the left side (atleast from the veiw i see it) now if that top point wast in the lower part of the graph it would be increasing hope this have a nice day

6. 104

7. 52/37

8. 2704

9. 140608

10. -52

11. |52|=52

12. 1/52

13. 156

14. 26

15. 40

16. 37

17. -364

18. 53 1/3

19. 50.96

20. 43 2/3

21. 78

22. 50.75

23. 47.63

24. 163.28

25. 10400

26. 338

27. 208

28. 2704 square inches

29. 312 square meters

30. don't know what its asking, tell me so i can tell you

31. 8490.56

32. 52 degrees would be an acute angle

33. 128 degrees

34. 20.8

35. 39

36. 208