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Circle Conic Section

"When working with circle conic sections, we can derive the equation of a circle by using coordinates and the distance formula. The equation of a circle is (x - h) ^2 + (y - k)^2 = r^2 where r is equa ...

Piecewise Functions

"In real world situations it can be difficult to describe events with a single smooth function. We sometimes need to use piecewise functions to describe these situations. Piecewise functions are funct ...

Change of Base Formula

"When we encounter logarithms with bases not of the common or natural logarithm, we often need the change of base formula. The change of base formula allows us to convert a logarithm from one base to ...

Permutations

"In statistics, in order to find the number of possible arrangements of a set of objects, we use a concept called permutations. There are methods for calculating permutations, and it's important to un ...

Perfect Square Trinomials

"One special case when trying to factor polynomials is a perfect square trinomial. Unlike a difference of perfect squares, perfect square trinomials are the result of squaring a binomial. It's importa ...

Percents

"Percents can be confusing, but there are methods we use to make them easier for us. Percents can be rewritten as fractions, or proportions, or as decimals. We can use multiplication and division to f ...

Percent Concentration

"To solve word problems involving percent concentration amounts, knowledge of solving systems of equations and percents is necessary. Percent concentration word problems involve solving for amounts an ...

Percent Change

"In math, sometimes we want to calculate the percent that something changes. Percent changes are often seen in word problems and are useful in many real world situations, for example when shopping sal ...

Pascal's Triangle

"Pascal's triangle is a geometric arrangement of the binomial coefficients in the shape of a triangle. In Pascal's triangle, each number in the triangle is the sum of the two digits directly above it. ...

Calculating Probability

"Sometimes calculating probability can be fairly complicated, but we have tricks to make it easier. Calculating probability of the complement of an event can be easier than calculating the probability ...

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