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-   -   Transposing Formula (https://www.askmehelpdesk.com/showthread.php?t=611388)

  • Nov 11, 2011, 02:55 PM
    Josh2345
    Transposing Formula
    ^ means power of
    2nd question - numbers should be subscripted
    π means pi


    v^2 = u^2 2as for v

    p1 A1 v1 = p2 A2 v2 for A1

    v = πr^2h for r

    x-a x-b =1 for x

    b c


    Please provide working out as well as answers so I can learn,thanks
  • Nov 11, 2011, 02:59 PM
    Josh2345
    sorry the c in the third queston should be below x-b
  • Nov 11, 2011, 03:01 PM
    Josh2345
    Also an addition sign should be between x-a and a-b, and also before 2as in the first question
  • Nov 12, 2011, 11:47 AM
    Unknown008
    for v

    Take the square root on both sides.

    for A1

    Divide both sides by

    for r

    First divide both sides by , then take the square root on both sides.

    for x

    1. Multiply both sides by the least common multiple of the fractions.
    2. Expand and simplify the brackets which will be formed.
    3. Add/Subtract anything on both sides so that terms in x only remain on the left.
    4. Factor out x.
    5. Divide by the coefficient of x.

    Can you post what you get? :)
  • Nov 12, 2011, 01:41 PM
    Josh2345
    My first answer is 1st step √v^2 = √u^2 + 2as
    2nd step V = u^2 + √2as
  • Nov 12, 2011, 01:47 PM
    Josh2345
    Here is my first answer to the 1st question 1st step (square rt v^2) = (square rt u^2) + 2as The brackets make it easier to show what I am square rooting 2nd step V = u^2 + (square rt 2as)
  • Nov 12, 2011, 01:59 PM
    Josh2345
    2nd question answer 1st step p1A1v1 = p2A2v2
    p1v1 p1v1

    2nd step A1 = p2A2v2
    p1v1
  • Nov 12, 2011, 02:01 PM
    Josh2345
    The p1v1 p1v1 and p1v1 should be directly below the lines sorry!
  • Nov 12, 2011, 02:33 PM
    Josh2345
    3rd question 1st v = πr^2h
    πh πh

    2nd v = r^2
    πh

    3rd (square rt v) = r^2
    πh


  • Nov 12, 2011, 02:35 PM
    Josh2345
    π means pi

    I couldn't work out the last one, couuld you please verify my answers and show me how to get the last question, thanks josh.



















    πh
  • Nov 12, 2011, 02:37 PM
    Josh2345
    * π means pi
  • Nov 13, 2011, 03:47 AM
    Unknown008
    Quote:

    Originally Posted by Josh2345 View Post
    My first answer is 1st step ˆšv^2 = ˆšu^2 + 2as
    2nd step V = u^2 + ˆš2as

    You mean this?



    No, that's wrong. It should be this:



    When you do something on one side, the same thing must happen on the whole other side.

    2. Good

    3. Same thing here. It should be:



    4.

    First multiply by the least common multiple of the denominators.



    The L.C.M is because, hence:







    Can you expand here?
  • Nov 13, 2011, 03:59 AM
    Josh2345
    Thanks unknown, I will learn from this.
  • Nov 13, 2011, 04:10 AM
    Josh2345
    I have expanded the last! A = -1b + bc-1x + -1b2c-1 + x
  • Nov 13, 2011, 04:53 AM
    Unknown008
    Um.. I'm not sure where you got that...



    Here is what you get when you expand.

    Now, bringing all the x and terms not in x on different sides:





    Can you factor x here on the left and then divide both sides by (c + b)?
  • Nov 13, 2011, 05:15 AM
    Josh2345
    Will I need to rearrange the equation in the form "(quadratic) = 0"?
  • Nov 13, 2011, 05:18 AM
    Josh2345
    is the answer to the first step x^2=cb+bc+ca+b^2
  • Nov 13, 2011, 05:38 AM
    Unknown008
    No no no. How do you factorise cx + bx?

    Just like that:

    2x + 3x = x(2 + 3)
  • Nov 13, 2011, 05:48 AM
    Josh2345
    Ok x(C+B) Now do I divide both sides by (c+b)?
  • Nov 13, 2011, 06:11 AM
    Josh2345
    So the final answer is x=bc+ca+b^2
    (c+b)

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