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Answers by Michael B.

Since Lauren has already provided an excellent answer, although without an illustration, here's one:     ^--  that is a quadrilateral     :) :) :)

If we let X be the amount of money that Dean had at the start, we can write a single equation like this:         /------------------- Initial amount        / /------------------ Cab       / /  /---------------- Dinner  ...

Wyatt, Your question is a bit ambiguous....  In the answers below, George has used calculus to iteratively estimate and then drive closer to the answer (this is the fundamental procedure of Newton's method which Robert also demonstrated in the comment-answer).  Roman has provided...

When trying to prove trig identities, it is often helpful to convert TAN functions into SIN/COS functions: Proof Step 1: Start with the original equation to prove: tan2x - sin2x = (tan2x)(sin2x) Proof Step 2: Replace tan with sin/cos (sin2x/cos2x) - sin2x = (sin2x/cos2x)(sin2x) Proof...

This is a problem which defines two different conditions that must be satisfied at the same time, from which we can write two equations. Condition #1: The perimeter must be 22ft Equation #1:  L + L + W + W = 22                ...

4 divided by i (answer)

Division by complex numbers is handled very much like division by radicals...  when there is a radical in the denominator, we "rationalize" it by multiplying both the numerator and the denominator by the radical.  This has the effect of "getting rid of" the radical...

Maria, as you say, there is not one unique solution for this triangle.  Using Law of Sines, we get: sin C = 18 * sin(50) / 14 = 0.98491 There are two angles which satisfy this constraint: C = 80.035 and C = 180 - 80.035 = 99.965 From these two answers we can derive the rest...

Well, alaina, this is a very general question, and people spend whole careers on such questions. At a fundamental level, Algebra is the study of variables - unknown quantities that we would like to solve for.   Here's an example: If you have a certain number of apples, and a friend...

Well let's first answer the question of what is a "polynomial".  The answer is a sum of terms that are composed of variables and/or constants that are multiplied together, and have non-negative exponents.  A "monomial" is just one of these terms.  Thus, x2...

Without going to the unnecessary point of considering advanced mathematics (calculus and beyond), division is just asking the question "how many times do you have to add the divisor (the number in the denominator) to get the dividend (the number in the numerator)??" For example, 6...