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Number of Handshakes

"Mathematical modeling is used to generate a formula for the number of handshakes possible. The situation essentially asks how many sides and diagonals are in a given polygon and generates the triang ...

Number of Diagonals in a Polygon

"A diagonal is a segment that connects two non-consecutive vertices in a polygon. The number of diagonals in a polygon that can be drawn from any vertex in a polygon is three less than the number of ...

Binomial Theorem

"In Algebra II, the binomial theorem describes the explanation of powers of a binomial. When expanding a binomial, the coefficients in the resulting expression are known as binomial coefficients and a ...

No Solution Systems of Equations

"Sometimes we have a system of equations that has either infinite or zero solutions. We call these no solution systems of equations. When we solve a system of equations and arrive at a false statement ...

Basic Transformations

"When graphing polynomials, basic transformations occur when a graph either shifts along the x-axis or y-axis and/or dilates. When graphing transformations, a dilation occurs when the "a" term value i ...

Negative Exponents

"It's important to understand what It means to have negative exponents and zero exponents. Negative exponents put the exponentiated term in the denominator of a fraction and zero exponents just make t ...

Navigation Problems

"The word problems encountered most often with vectors are navigation problems. These navigation problems use variables like speed and direction to form vectors for computation. Some navigation proble ...

Natural Logarithm

"The natural log is the logarithm to the base of the number e and is the inverse function of an exponential function. Natural logarithms are special types of logarithms and are used in solving time an ...

Natural Log Integration

"Because the derivatives of e^x and ln(x) are e^x and 1/x, respectively, the integrals of the latter two functions are just the former. If the variable parts of these functions are not just x, but a p ...

Multiplying Rationals

"Multiplying rational expressions is basically two simplifying problems put together. When multiplying rationals, factor both numerators and denominators and identify equivalents of one to cancel. Div ...

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