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How many lines of symmetry are in a circle?

Circles have fascinated mathematicians since the time of early Greek culture, and other cultures have pondered circles as well. Circles have an infinite number of edges, and they cannot be described with classic geographical techniques. Pi, the ratio of a circle's area to its radius, pops up throughout seemingly unrelated areas of mathematics.\nMany mathematicians and philosophers independently found that circles can be described as having an infinite number of edges, and this conception is useful when considering lines that touch circles at only one point, of which there are an infinite ..

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What comes after centillion?

Outside of official circles, there are other named numbers such as the googol and the googolplex, which were first described by American mathematician Edward Kasner in 1940. The googol is one followed by 100 zeros and is far less than a centillion. The googolplex, however, is one followed by a googol of zeros and is far in excess of a centillion.

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How do you analyze data?

The primary graphic techniques utilized in data analysis are box plots, histograms, MultiVari charts, Run charts, Pareto charts, scatter plots and stem-and-leaf plots. These techniques, commonly referred to as statistical graphics, enable data scientists to create visual representations of data, assisting them in using data sets to draw conclusions and make decisions. In particular, statistical graphics help with outlier detection, factor effect determination and model validation.\nQuantitative techniques are the processes that produce numeric output, allowing the graphics above to be produced..

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What is a zero pair?

A zero pair will always feature the positive and negative form of the same number. For instance, +3 and -3 would be considered a zero pair because the resultant sum when they are added together is zero (+3 + -3 = 0). Conversely, +3 and -2 would not be considered a zero pair because the resultant sum when they are added together would not be zero (+3 + -2 = +1).\n\nThe main purpose of a zero pair is to simplify the process of addition and subtraction in complex mathematical equations featuring multiple numbers and variables. For example, in the problem 2+6-3-2, the positive 2 and the negative 2..

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How do you draw an elliptical circle?

The width of an ellipse is called the major axis. The height of an ellipse is called the minor axis. This construction is best done on graph paper. First, set a compass to half of the desired major axis length. Place the point of the compass in the center of the page and mark the distance in each direction. Then, do the same with half the distance of the minor axis by placing the compass point in the center and marking two points up and down. Reconfigure the compass length back to the length of half the major axis. Place the point of the compass at one end of the minor axis and mark a point on..

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What is elimination in algebra?

An example of a set of linear equations that can be solved using the elimination method is: 4x + 2y = 14 and 2x - y = 1. To create coefficients that cancel each other out, the terms of the second equation are multiplied by 2, producing the equation 4x - 2y = 2. Adding the two equations together causes 2y and -2y to cancel each other out, leaving 8x = 16, or x = 2. Plugging an x value of 2 back into the original equation 2x - y = 1 leads to the solution y = 3.

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What are the steps in multiplying polynomials with exponents?

When multiplying two-term polynomials, the FOIL method is used. The FOIL acronym stands for First Outer Inner Last. It describes the order in which the terms of the two polynomials are multiplied. For example, given the equation (a^2 + 4)(2a + 5), the first two terms are multiplied first: a^2 x 2a = 2a^3. Next the outer terms are multiplied: a^2 x 5 = 5a^2. Next the inner terms are multiplied: 4 x 2a = 8a. Finally the last terms are multiplied: 4 x 5 = 20. Combine terms where possible, and arrange them in descending order of degree: 2a^3 + 5a^2 + 8a + 20.

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How do you predict polynomial end behavior?

Determine whether the power is odd or evenIf the largest term in the polynomial has an even power, it starts and ends with very large numbers. Consider f(x) = x², f(-100) = 10,000 and f(75) = 5625, so both the negative and positive values of x yield end behavior on the same side of the x-axis.\n\nHowever, if the largest term is odd, one end of the graph starts on one side of the x-axis, the function's graph crosses the x-axis on one or more occasions, and the other end leaves on the other side.Use the sign to determine the directionNote that f(x) = x² yields large positive values regard..

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How many bricks are in a square meter?

A standard U.S. brick is 7 5?8 by 3 5?8 by 2 1?4 inches. They are sized so that when 3/8 inch (9.5 millimeters) of mortar is used, they cover an area of 8 by 4 inches. To calculate how many are needed to cover 1 square meter, convert the inches to meters: 8 by 4 inches is equal to 0.20 by 0.10 meters. This gives each brick a face area of 0.02 square meters. Divide 1 square meter by 0.02 square meter, which equals 50 bricks, or 10 rows of five bricks.

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What are different kinds of quadrilaterals?

It is important to note that some quadrilaterals are included in the definition of other quadrilaterals. Square, rhombus and rectangle, for instance, are all special kinds of parallelograms, but since they are so widely used and regarded in daily mathematics, they are grouped in different categories themselves. Quadrilateral means four sides and, therefore, any four-sided shape can be called a quadrilateral provided the sides are straight and the shape is two dimensional.

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