## anonymous one year ago The midpoint of line UV is (5, -11) The coordinates of one endpoint are U(3, 5) Find the cordinated of endpoint V. (((PLEASE HELP IVE BEEN STUCK ON THIS FOR 20 MINS)))

1. anonymous

@AlexandervonHumboldt2 @I_Luv_Skittles @Defiance @freckles

2. anonymous

3. anonymous

will medal and fan.

4. freckles

so the midpoint we need to think averages the average of two numbers is the sum of those numbers divided by 2 the x coordinate of the midpoint is equal to the sum of the x-coordinates of the endpoint divided by 2 the y coordinate of the midpoint is equal to the sum of the y-coordinates of the endpoint divided by 2

5. freckles

$5=\frac{3+x}{2} \\ -11=\frac{5+y}{2}$

6. anonymous

Would help but seems freckles has it ;).

7. freckles

solve the equations

8. freckles

I forgot to make the word endpoint plural oh well

9. anonymous

what is x??? how do I do 3+x if I dont know what x is where did you get x from??

10. freckles

did you read the descriptions above?

11. freckles

the "x-coordinate of the midpoint" is equal to the "sum of the x-coordinates of the endpoints" "divided by 2"

12. freckles

V is a point in the form (x,y)

13. freckles

the x-coordinate of V is x the y-coordinate of V is y since I chose V to be the point (x,y)

14. anonymous

I get that now but I dont understand the divison part??? can you just write everything out for me to read please

15. freckles

I'm sorry I thought I did... Can you tell me what you don't understand? Like the division? To find the average of two numbers... You do the sum of those numbers and then you divide 2.

16. anonymous

theyre numbers on a graph tho so I dont get it

17. freckles

So if I told you the average of x and 3 is 5 ? This doesn't make sense how I got this: $\frac{x+3}{2}=5?$

18. anonymous

Youre saying the answer is 5?

19. anonymous

Im really bad at this kinda stuff

20. freckles

no you are looking for V and V is a point on the cartesian plane

21. freckles

you are looking for the point (x,y)

22. anonymous

so the x cord is 5?

23. freckles

you are given by your question the following to find x and y: The average of x and 3 is 5. The average of y and 5 is -11.

24. freckles

how did you x is 5?

25. anonymous

so its (5, -11) ?

26. freckles

the midpoint is not what we are looking for

27. freckles

I already said we are looking for V , one of the endpoints which I called (x,y)

28. anonymous

this is taking so long.. can you just explain everything and help me with the answer

29. freckles

I'm trying too... so what do you not understand about the following equations: $5=\frac{3+x}{2} \\ -11=\frac{5+y}{2}$

30. freckles

all i did there was apply the average thing I mentioned

31. anonymous

how do I add 3 to x and 5 to y..

32. freckles

because that is all the midpoint is is averaging

33. freckles

you solve for x and y

34. freckles

multiply both sides by 2

35. anonymous

so its 3 and 12.5?

36. freckles

don't understand how you got that did you try multiplying both sides of the equation(s) by 2?

37. anonymous

I did then divided them

38. freckles

$5=\frac{3+x}{2} \\ \text{ multiply both sides by 2 } \\ 10=3+x \\ \text{ now isolate } x$

39. anonymous

can you tell me the answer I dont get it my teacher will help me tomorrow

40. freckles

so you don't want to try to subtract 3 on both sides to isolate x?

41. anonymous

it would just be x over 2 ....

42. freckles

you do understand we had 5=(3+x)/2 then I asked you to multiply 2 on both sides giving us 10=3+x the last step to find the x-coordinate of v is to subtract 3 on both sides 10-3=x why are you doing something different from what I suggest?

43. freckles

now try solving for y coordinate of V -11=(5+y)/2

44. freckles

it is the same kind of steps we went through to solve for x

45. anonymous

my computer stopped working but can you just tell me it

46. anonymous

Ive spent over an hour on one problem...

47. anonymous

@freckles

48. anonymous

ANYONE PLEASE :( IVE SPENT AN HOUR+ ON THIS QUESTION.... @*louisa* @perii224 @AlexandervonHumboldt2 @mrqueest

49. anonymous

@Vocaloid

50. anonymous

51. Vocaloid

52. anonymous

can you just give me the answer :/ i really dont get it my teacher will help me tomorrow. Ive spent over an hour on this...

53. Vocaloid

start by multiplying both sides by 2 (x+3)/2 * 2 = ?

54. anonymous

4

55. Vocaloid

nope, not quite... hint: A/2*2 = A (x+3)/2*2 = ?

56. anonymous

2*2 is 4

57. Vocaloid

does this make it more clear?|dw:1443724308435:dw|

58. anonymous

I DONT KNOW WHAT THIS MEANS AHHHHHH

59. Vocaloid

60. anonymous

um I dont know what youre talking about can you just tell me it or Ill get it wrong I dont have the time to spend any more time on this one question...

61. anonymous

@Vocaloid