## help_people one year ago Tabitha wants to hang a painting in a gallery. The painting and frame must have an area of 58 square feet. The painting is 7 feet wide by 8 feet long. Which quadratic equation can be used to determine the thickness of the frame, x? Image of a frame 7 feet wide by 8 feet long, with an of x on the bottom and right sides x2 + 15x − 2 = 0 x2 + 15x + 58 = 0 4x2 + 30x − 2 = 0 4x2 + 30x + 58 = 0

1. help_people

2. help_people

A graph of a quadratic function is shown below. graph of y equals negative 2 times x squared plus 40 x plus 600 What is the vertex of the parabola shown? (30, 0) (800, 10) (0, 600) (10, 800)

3. help_people

4. help_people

@jim_thompson5910 @Crazyandbeautiful

5. help_people

@whpalmer4

6. jim_thompson5910

Please post questions one at a time. Which one is giving you more trouble?

7. help_people

umm the seocnd one and srry :( @jim_thompson5910

8. jim_thompson5910

that's ok do you see how the given equation matches up with the form ax^2 + bx + c ?

9. help_people

yes

10. help_people

wiat not not for the second one

11. jim_thompson5910

|dw:1442708862589:dw|

12. jim_thompson5910

|dw:1442708890735:dw|

13. jim_thompson5910

|dw:1442708908746:dw|

14. jim_thompson5910

|dw:1442708921034:dw|

15. jim_thompson5910

|dw:1442708932348:dw|

16. help_people

ok yes

17. help_people

@jim_thompson5910

18. jim_thompson5910

so if a = -2 and b = 40, we can plug them into $\Large h = -\frac{b}{2a}$ what is the value of h when you do this?

19. help_people

h=-40/2(-2) h=10

20. jim_thompson5910

very good

21. jim_thompson5910

what we do next is plug that value (10) in for x $\Large y =-2x^2 + 40x + 600$ $\Large y =-2(10)^2 + 40(10) + 600$ $\Large y = ???$

22. help_people

800 @jim_thompson5910

23. help_people

800

24. jim_thompson5910

good

25. jim_thompson5910

h = 10 and k = 800 making the vertex to be (10,800)

26. jim_thompson5910

in general, the vertex is (h,k)

27. help_people

@jim_thompson5910

28. jim_thompson5910

I'm already here and responding. There's no need to keep tagging me like that.

29. help_people

so the answer is (!0,800)? could you help w/ the other and i will repost

30. jim_thompson5910

yeah (10,800)

31. help_people

ty could you help w/ 1 more?

32. help_people

ty could you help w/ 1more?

33. jim_thompson5910

sure, post as a new question and tag me in it

34. help_people

ok !