Algebra 1, sem. 2; show work! a rectangular flower bed is enlarged so that its area increases by 14 m². the enlarged flower bed is a rectangle and its area is x^2+9x+14 m². which expressions represent the dimensions of the flower bed before the increase? *i already know the answer is x & x+9, i need to know why*

The enlarged flower bed is a rectangle and its area is x^2+9x+14 m²

So before its enlargement by 14 m², the area of the rectangle = x^2+9x

As you know, the area of rectangle is equal length times width

so area = x^2+9x

factors:

x^2+9x = x (x + 9)

So the dimensions are x and (x + 9)

Hope it helps.

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

see explanation

step-by-step explanation:

a

(6r + 7) + (13 + 7r) ( remove brackets and collect like terms )

= 6r + 7 + 13 + 7r

= 13r + 20

b

remove brackets and collect like terms

13 - r - 1 + r

= 12 - r

c

remove brackets and collect like terms

= - 8 - r + 2r - 4

= - 12 + r

d

remove brackets and collect like terms

= 7r - - - 6r

[-   - = - - = - ]

= r -