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Answers by Diane S.

1.  (4+2i) - (6-8i):   distribute the minus sign:   = 4 + 2i - 6 + 8i   gather like terms:   = -2 + 10i   2. i18 = i times 18.  You should write it as 0 + 18i to give the answer in the form asked for.   3...

Sequence 1 = (n+2)/[(n+3)^2] Sequence 2 = 1/[2^n]   These problems can be difficult. It takes looking for patterns, and that comes more easily with practice. Remember the first term, n=1, second n=2,...

Many students like cross multiplication for problems like this.  Write the fractions vertically, each with a top and a bottom.  Draw a big X through the problem.  This X will connect the 25 to the 12 and the 60 to the s.   The equation is then rewritten as   (25)(12)...

Let's "read and write" exactly what the question says:    The sum of the interior angles of a regular polygon IS:   sum interior =       180 degrees less than... (something):   sum interior = (something) - 180       three...

Percent literally means per 100.  Whenever you see the word percent, or the symbol %, take whatever is before it, and put it over 100.   So 125% = 125/100.  That can be reduced to 5/4.     To convert to a decimal, you can do long division, dividing 5 into...

To answer these questions without the aid of a calculator, you have understand some basic definitions and rules.  To get a LOG (and this is the LOG in base 10, because when the base is unstated, we set it to 10), the question you have answer is:  what power do I need to raise 10 to,...

To begin graphing an inequality, you start just like graphing an equation with an = sign.  Your second equation is the easier, so let's start with that. y< or = -4.  Find y=4, draw across as a solid line (horizontal line to indicate all values of x are valid), and then...

Hi Kaela.  A proportion is simply a comparison of 2 fractions.  Like "part over whole" = "part over whole".  Whenever you are doing proportions, just make sure you "keep the top with the top and the "bottom with the bottom".  That's a nonsensical...

Hi Elizabeth.  Ralph already gave you a nice simple answer.  But one way to remember this for good is by thinking through a simple example.  If I asked you to solve 2(3+5), I am sure you would tell me - that easy!  Just add the 3 and 5, so that becomes 2(8) = 16. ...

Hi Sonya.  Richard S. already gave you a nice explanation of how to do this problem.  Here are some general things to keep in mind.  When doing an algebra problem where you have to solve for a variable (in your case, z) - remember your goal is to get z alone.  It'll usually...

(NOTE: You should see exponents (superscripts (and not ^)) throughout this explanation. If you are not seeing superscripts, the answer is not displaying correctly.) Hi Mathalina.   PEMDAS says you should really start with P: inside the parenthesis first, but there's not much...