Graphical representation of the x-and y-intercepts is quite simple. The intercepts at the x-axis, called x-intercepts are points where the graph crosses the x-axis while the intercepts at the y-axis, called the y-intercepts are points where the graph crosses the y-axis. However, the main challenge of the intercepts comes when we attempt to provide algebraic expressions and equations to the x-and y- intercepts.
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Archive for the ‘Math Tips’ Category
The Algebraic Concept of x- and y-intercepts
Wednesday, July 13th, 2011Math solvers
Wednesday, July 13th, 2011College life is an amazing and the most memorable period of life. However, Math problems are an integral part of college life and most of the time they make studying process stressful and frustrating. That’s the reason why a lot of students try to find online algebra homework solver hoping that Math solver will shatter their fears finally.
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Dandelin or Focal Spheres
Thursday, June 30th, 2011Typically, the conic sections, and that includes the ellipse, parabola, and the hyperbola all have their definitions connected to the intersection a plane makes with a cone. However, more technically useful definitions of the conic sections are those provided by plane geometry. The equivalence of the definitions of the conic sections have been proved by Germinal Pierre Dandelin, a Belgian mathematician who discovered the concept now known as the Dandelin spheres in 1822.
The Dandelin spheres which are sometimes called focal spheres can be used to prove some important theorems; at least two. Though the theorems proved by Dandelin have been known for centuries yet Dandelin made it easier to prove them.
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The Idea of the Georg Cantor Set
Thursday, June 16th, 2011Cantor set, seen on the number line as the interval between 0 and 1 is an example of a fractal on the real number system as shown on the real number line. The Georg Cantor set is very easy and simple to construct just with the aid of a line that represent numbers where if one remove a section; it amounts to dealing with that part of the set.
Construction of Cantor set involves three steps which are outlined below:
1. Draw a horizontal number line that signifies the interval of real number system with the left and right endpoints labelled 0 and 1 respectively.
2.Cut off or wipe out or simply erase a section of this line that represents middle-thirds, that is between 1/3 and 2/3 of the drawn line segment. Once you have erased this middle-thirds section, you will be left with two thirds of the originally drawn number line.
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The Midpoint Theorem and Formula
Thursday, June 16th, 2011Once a while in mathematics, we really need to find the midpoint between two other points, that is, the point that is exactly in the middle of the two other points. A good example is if you have to find the point at which a line bisects or divides a given line segment into two equal parts. The midpoint formula is quite simple and you should endeavour to know how to derive it for future use.
The midpoint formula can be conceived in terms of finding the middle number that exists between two given numbers such as 10 and 15. By adding the two numbers and dividing by 2, we obtain the exact middle number as follows:
Exactly the same way, the midpoint formula works. Let us consider the following question:
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