## Inopeki 4 years ago TuringTest, repetition!

1. TuringTest

repetition?

2. Inopeki

You know, practising something you have learned

3. sunsetlove

?

4. Inopeki

Oh maybe thats not a word xd

5. imranmeah91

revision

6. TuringTest

factor\[x^2y^4-x^4y^2\]

7. Inopeki

Ohhh, im thinking of the swedish word..

8. TuringTest

repetition is a word, just not the right one

9. GT

Again??

10. Inopeki

GCF of x^2 and x^4 is x^2 GCF of y^2 and y^4 is y^2 x^2*y^2(x^2*y^4/x^2*y^2)-x^2*y^2(x^4*y^2/x^2*y^2)?

11. TuringTest

yes that should work :) and yes, /again/ GT lol continue Inopeki.

12. Inopeki

x^2*y^2(x^2*y^4/x^2*y^2)-x^2*y^2(x^4*y^2/x^2*y^2)=x^2*y^2(y^2-x^2)? Damn thats a long line of numbers!

13. TuringTest

lol yeah, but you got the right answer :D but I think there's one more thing you can do, look closely.

14. Inopeki

x^2*y^2(x^2*y^4/x^2*y^2)-x^2*y^2(x^4*y^2/x^2*y^2)=-x^4*y^4?

15. Inopeki

x^2*y^2(x^2*y^4/x^2*y^2)-x^2*y^2(x^4*y^2/x^2*y^2)=(-x^4)*y^4?

16. TuringTest

who who you got much closer with x^2*y^2(y^2-x^2) but is there something familiar here?

17. Inopeki

x^2*y^2(y-x)(y+x)?

18. TuringTest

yes :) good job, tricky one!

19. Inopeki

Thanks :DDD

20. imranmeah91

one step closer to quantum mechanics

21. Inopeki

:D baby steps are still steps, right?

22. TuringTest

true that :) hey you're going plenty fast you've got time... hmmm do you know how to find the slope of a line give two points?

23. Inopeki

Yes, if i remember right.

24. TuringTest

ok (1,4) (6,12) what is the slope between the points?

25. Inopeki

Well 12+4 ----- Doing alright? 6+1

26. Inopeki

- actually

27. TuringTest

gotta subtract, yes the reason for this is important to understand you should think about it if you can

28. Inopeki

No wait

29. Inopeki

12-4 ----- =8/5 6-1

30. TuringTest

right rise over run remember that rise and run are about changes, and to find the change in x or y we must subtract, so it makes sense. what about the equation of the line? any ideas?

31. Inopeki

\[\Delta y \div \Delta x\]

32. TuringTest

perfect, even better way to think of it :) now the equation of the line that passes through (1,4) (6,12) do you know how to find that?

33. Inopeki

|dw:1326067972678:dw|

34. Inopeki

I need to get x first then substitute to get y?

35. TuringTest

no, you use the 'Point-Slope' form of the line:\[y-y_1=m(x-x_1)\]where m is the slope (which you have already found) and (x_1,y_1) are the coordinates of one of your points (it doesn't matter which) can you get the equation of the line now?

36. Inopeki

Wait, 12-4=8/5(6-1)?

37. TuringTest

no, just use one of the points, the other x and y without subscripts (the little number 1) are just left as x and y...

38. Inopeki

Oh, y-12=8/5(x-6)?

39. TuringTest

right, that is the equation in point-slope form there is another form called slope-intercept form that looks like\[y=mx+b\]where b is the y-intercept. Our equation will be in this form if we solve for y, so do that.

40. Inopeki

y=8/5(x-6)-12?

41. TuringTest

it would be +12 right? but distribute 8/5 to the parentheses as well to get slope-intercept form.

42. Inopeki

y=12+(8/5)*(x-6)?

43. TuringTest

yes now distribute the 8/5...

44. TuringTest

in order to get rid of the parentheses...

45. Inopeki

y=12+(8/5)x-6?

46. TuringTest

you forgot to distribute to the 6...

47. Inopeki

y=12+(8/5)x-(6)?

48. TuringTest

(8/5)(x-6) distribute the 8/5 to each term, that is how distribution always works.

49. TuringTest

a(b+c)=ab+ac

50. Inopeki

But i did that before!

51. TuringTest

and what did you get?

52. Inopeki

Aw man, i need some sleep. school starts tomorrow and its 1:30am XD Im screwed!

53. TuringTest

lol Thought so... goodnight, good work :)

54. Inopeki

Goognight! Thanks again for teaching me all this :)