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Who created the polynomials?

Scipione del Ferro solved cubic equations, but he did not publish his solutions. Girolamo Cardan published "Ars Magna" or "The Great Art." This book contained details of quartic and cubic study, considered as modern algebra's beginning. Both Sir Isaac Newton and Rene Descartes also contributed in terms of polynomials' roots. In 1669, Newton established an iterative method for numerical estimation of polynomial roots. Newton's parallelogram was created in 1676 for estimating all possible "y" values that are related to "x." The resolution and invention of polynomials continued wit..

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How many vertices does a pyramid have?

In geometry, a vertex is defined as an angular point of a polygon or a polyhedron. In two dimensions, this means a point where two lines meet, such as the points of a triangle. In three dimension, it means the point where three lines meet, such as the corner of a cube. While the most common pyramids have triangular or square bases, a pyramid can be constructed using any convex, simple polygon as a base, such as pentagons or hexagons. In all cases, the total number of vertices is equal to the number of vertices, or corners, the base has plus one more for the point at the top where all the faces..

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How do you write 0.12 as a fraction?

The fraction 120/1000 is equal to 0.12, as is 6/50, 24/200 and 1200/10000. In all these cases, the numerator and the denominator of 3/25 are multiplied by the same number. Since this is the same as multiplying by one, the value of the fraction is not changed. As long as the numerator and denominator are equal, any number can be used, so the possible ways of writing a fraction equal to 0.12 are infinite.

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What is the point where the sides meet in a polygon?

Any polygon has as many vertices as it does sides. This applies to both convex as well as concave polygons. Even the diagonals meet in the vertex of the polygon.\nFor instance, a triangle is a three-sided polygon, and it has three vertices. A quadrilateral is a four-sided polygon, and it has four vertices. A rectangle, a square, a rhombus, a parallelogram and a trapezium are polygons with four sides and four vertices.\nA hexagon and a heptagon have six and seven sides, respectively. A hexagon has six vertices, and a heptagon has seven.

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What is the formula for calculating case cube?

The term "case cube" refers to a measurement used in warehousing and shipping. While the measurements of length, width, and height provide a two-dimensional view of how much floor space a container will take up, it does not provide a three-dimensional or volume calculation. Accurately calculating three-dimensional space is critical in allocating space in a warehouse, fulfillment center, or transport plane. For example, the case cube of a particular box is calculated as 10 inches by 15 inches by 10 inches, or 1,5003 inches.

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What does a math teacher mean when she says, "Write a verbal expression to represent each expression"?

For example, if an algebraic expression "3x + 5 = 20" is given, the verbal expression of such an expression can be written, "Find a number such that 5 added to 3 times the number gives 20," or it can also be written, "Find a number that yields 20 when 5 is added to 3 multiplied by that number."\nWhile writing the verbal expressions, it is very important to write in such a way that obtaining the algebraic expression back from it does not become a tedious task. Knowing how to write algebraic expressions from verbal expressions – and writing verbal expressions from algebraic equations – is im..

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What are some tricks for calculating square roots?

For example, 34 is between the perfect squares of 25 (5 x 5) and 36 (6 x 6). Therefore, 34 is approximately 5.8, as 34 is closer to 36 than to 25. For a more accurate estimation, divide the given number (34) by the approximation (5.8). Average this answer (approximately 5.862) with the approximation (5.8) to yield a closer estimation of the square root of the given number (approximately 5.831). Continue this process until the desired accuracy of the estimate is reached.

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What are some real-life examples of tessellations?

Many examples of tessellations can be found in Islamic architecture because the architects are not allowed to use human or animal figures, so they use a variety of different shapes arranged in patterns. Some of these shapes may be geometric, floral or calligraphic.\nTessellations can be regular, semi-regular or irregular. Equilateral triangles, squares and hexagons are regular polygons that easily tessellate because they are both regular and congruent. A soccer ball is a regular tessellation of hexagons. Semi-regular tessellations are formed when two or more regular polygons are arranged so ev..

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How many vertices does a hexagon have?

In order for a six sided shape to be classified as a hexagon, it must satisfy two conditions. As with any shape, the sides must all join together and form a closed shape. Secondly, all sides of a hexagon must be straight, not curved. Hexagons are often seen in nature, most commonly as the shape of honeycombs in bee hives.

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What is the difference between linear equations and functions?

Linear equations have infinite sets of ordered pairs that satisfy their equation. Functions can have smaller sets of viable answers. Functions can include many variables that are independent, while a linear function only has two: the 'x' and the 'y'.\nA linear function generally follows the pattern of y=mx+b. Functions tend to be represented in terms of f(x) or whatever variable is chosen. Linear equations tend to be the most basic of functions as they are limited to only two variables; meanwhile, functions can represent more complex relationships as they are not restricted..

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