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Inconsistent and Dependent Systems of Equations

"A system of equations is called an inconsistent system of equations if there is no solution because the lines are parallel. A dependent system of equations is when the same line is written in two dif ...

The Quadratic Formula

"When we solve quadratic equations, we have several different methods that we can choose from. Using the quadratic formula is just one of those methods and is a method that always works. When sol ...

Impulse

"Impulse measures the change in the momentum of an object. Impulse is expressed as the integral of force over time and its unit is the Newton-second (N x s). Expressed without Calculus, impulse = forc ...

The Law of Sines

"One method for solving for a missing length or angle of a triangle is by using the law of sines. The law of sines, unlike the law of cosines, uses proportions to solve for missing lengths. The ratio ...

The Law of Cosines

"One method for solving for a missing length or angle of a triangle is by using the law of cosines. The law of cosines, unlike the law of sines, is similar to the Pythagorean theorem, but it works for ...

Immune System

"The immune system protects the body from diseases. It detects and kills things like viruses and bacteria to prevent sickness and to allow the body to continue to function properly. There are three li ...

Ideal Gas Law

"The Ideal Gas Law mathematically relates the pressure, volume, amount and temperature of a gas with the equation pressure x volume = moles x ideal gas constant x temperature; PV=nRT. The Ideal Gas La ...

The Hyperbola

"A hyperbola is a type of conic section that is formed by intersecting a cone with a plane, resulting in two parabolic shaped pieces that open either up and down or right and left. Similar to a parabo ...

The Greatest Integer Function

"One of the most commonly used step functions is the greatest integer function. The greatest integer function has it's own notation and tells us to round whatever decimal number it is given down to th ...

The Fundamental Theorem of Calculus

"The fundamental theorem of Calculus is an important theorem relating antiderivatives and definite integrals in Calculus. The fundamental theorem of Calculus states that if a function f has an antider ...

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