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Properties of Logarithms

"In order to solve equations with logarithms and exponential functions, we must understand two properties of logarithms. These properties of logarithms are the methods we use to get to and solve for v ...

Corresponding Angles

"Corresponding angles can apply to either two polygons or parallel lines cut by a transversal. In both cases, corresponding angles are in the same position. If the two polygons are congruent, then the ...

Probability of Multiple Events

"Slightly more complicated than calculating the probability of an event is calculating the probability of multiple events. The probability of multiple events has different calculations depending on wh ...

Probability of Independent Events

"When calculating the probability of multiple events, we must determine whether the events are dependent or independent. The probability of independent events is slightly less complicated than calcula ...

Continuous Functions

"In order for a function to have continuity at a certain point, several conditions including (1) the existence of the point in the domain and (2) the existence of a two-sided limit as the point approa ...

Probability of Dependent Events

"When calculating the probability of multiple events, we must determine if the events are dependent or independent of one another. When calculating the probability of dependent events we must take int ...

Powers of i

"To determine the value of i raised to a power greater than two, we rewrite the term using exponent rules.Remember that i^2 = -1 and i^4 = 1. Therefore, any exponent of i that is a multiple of four wi ...

Constructing Parallel Lines

"Constructing parallel lines with a compass and straightedge uses the converse of the parallel lines theorem. Creating congruent corresponding angles (or congruent AIA or AEA) guarantees parallel lin ...

Power Functions

"A power function is a function where y = x ^n where n is any real constant number. Many of our parent functions such as linear functions and quadratic functions are in fact power functions. Other pow ...

Constructing a Median

"A median is a line segment from the vertex to the midpoint of the opposite side in a triangle. In every type of triangle, the median will be contained within the polygon, unlike altitudes which can l ...

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