geno3141

1 inch = 2.54 cm.

161 cm x (1 in / 2.54 cm)  =  63.4 inches 

To go from cm to inches, multiply by (1 in / 2.54 cm); or, just divide by 2.54.

To go from inches to cm, multiply by (2.54 cm / 1 in); or, just multiply by 2.54

Multiply each term of the equation by the common denominator:  RP · R1· R2  and simplify each term:

  R1 · R2  =  RP · R2  +  R1· RP

Factor out the RP from the right side:

  R1 · R2  =  RP · ( R2  +  R1 )

Divide both sides by ( R2  +  R1 ):

  RP  =  R1 · R2 / ( R2  +  R1 ) 

To simplify √8  -->  √8  =  √4 · √2  =  2√2

To simplify √(a^12)  -->  A square root is an exponent of 1/2

                √(a^12)  -->  (a^12)^(1/2)  =  a^6          (multiply exponents when you have a power to a power)

Putting this together:  3 · 2√2 · a^6   =  6√2 · a^6

If the problem is:  F1   =   C1 · F2 / (C1 + C2)

Cross-multiply:     F1 · (C1 + C2)   =   C1 · F2

Distribute:            F1 · C1  +  F1 · C2   =    C1 · F2

Since you are solving for C1 get all the C1 terms to one side; subtract F1 · C1 from both sides:

                          F1 · C2   =    C1 · F2  -  F1 · C1

On the right side, factor out the C1 factor:

                        F1 · C2   =    C1 · ( F2  -  F1 )

Divide by F2  -  F1:     C1  =  F1 · C2 / ( F2  -  F1 )

If you are going to solve for  b  then you want to eliminate the  a  term.

If you multiply the second equation by  -3:   (multiply each term by  -3)

     3a - 4b  =  17

    -3a - 9b  =  9

--------------------                 Add down the columns:

         -13b  =  26                 Finish:

              b  =  -2 

A negative exponent means that that factor is in the wrong place in the faction; if it is in the numerator (with a negative exponent), it belongs in the denominator; for example:  3x^-5  =  3 / x^5.

5 · x^-11 · y^2 · z^-5                 (The 5 and the y-terms have positive exponents so they stay on top;                                                                 the x and z-terms have negative exponents so they move down.)

=  5 · y^2 / ( x^11 · z^5 )

I would rearrange them so that the same letter is in the same column:

 14a  - 10b  + 5

-10a + 12b  - 7

   4a +   3b + 10

-------------------     Now, add down the columns:

   8a + 5b + 8

[ (32·x^5·z^10) ]^(1/5)  =  [ (2^5·x^5·z^10) ]^(1/5)

Since it's a power to a power, multiply the exponents together:  

[ 2 ^ ( 5 · 1/5) ] · [ x ^ ( 5 · 1/5) ] · [ z ^ (10 · 1/5) ]  

=  2^1 · x^1 · z^2

=  2xz²

If you factor  a² + 2a + 1, you get (a+1)(a+1).

Now the problem is:  (a+1) / [ (a+1)(a+1) ].

Cancel the (a + 1) in the numerator with one of the (a + 1)'s in the denominator, you have;

  1 / (a + 1)

Use a calculator to find invSin(0.8752).  Usually, you'll need to use the (2nd) key or the (shift) key.

Similarly, you can find invCos and invTan.