4 = 2(2 + 3) 3(x + 4) - (x - 7 = 25 (expand the brackets) 3x + 12 - x + 7 = 25 (simplify) 2x + 19 = 25 (subtract 19) (expand the brackets) (collect like terms) (simplify) 2x = 3 x=3 Check: 3(3 + 4) - (3-7) = 25 (divide by 2) Graphs and Sequences Gradient of a Straight Line Straight-line Graphs Shapes and Space Basic Principles Constructions 60° angle (equilateral triangle) Draw arc from A to intesect AB at P. Keeping same radius‚ draw arc from P
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In my research of the Fibonacci Numbers‚ I have found that the Fibonacci numbers appear anywhere from leafs on plants‚ patterns of flowers‚ in fruits‚ some animals‚ even in the human body. Could this be nature’s numbering system? For those who are unfamiliar with the Fibonacci numbers they are a series of numbers discovered by Leonardo Fibonacci in the 12th century in an experiment with rabbits. The order goes as follows: 1‚ 1‚ 2‚ 3‚ 5‚ 8‚ 13‚ 21‚ 34‚ 55‚ 89‚ 144‚ 233‚ 377‚ 610 and so on. Starting
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Trương Thành Nam Hướng dẫn: Ths. Đặng Thị Bích Thảo MSSV: 1400056 Essay project 2 Pierre Robin Sequence Introduction : Pierre Robin sequence (PRS) is a rare congenital defect‚ which was first described by Lannelongue Menard in 1891 as Pierre Robin syndrome. The word “syndrome” then was replaced by “sequence” because the pathogenesis of the condition occurs through a chain of events. The sequence include small jaw (micrognathia)‚ displacement of the tongue (glossoptosis) which consequence to airway
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Sums Introduction A geometric sequence is a sequence such that any element after the first is obtained by multiplying the preceding element by a constant called the common ratio which is denoted by r. The common ratio (r) is obtained by dividing any term by the preceding term‚ i.e.‚ where | r | common ratio | | a1 | first term | | a2 | second term | | a3 | third term | | an-1 | the term before the n th term | | an | the n th term | The geometric sequence is sometimes called
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Arithmetic Coding For Images 1. Sanjay Bellani‚ 2. Shikha Bhagwanani 1. Plot No.421(a)‚Ward 2b . Adipur (Kutch) INDIA 2. Plot No.107‚Ward 3b. Adipur(Kutch) INDIA a. Innocentboy.sanju@yahoo.com‚ b. Shikha.bhagwanani@gmail.com Keywords: data compression‚ arithmetic coding‚ Wavelet-based algorithms Abstract. Data compression is a common requirement for most of the computerized applications. There are number of data compression algorithms‚ which are dedicated to compress different
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Question 1: Consider the following graph G. [pic] 1. Give the adjacency matrix and adjacency list of the graph G. (5 marks) adjacency matrix： [pic] adjacency list: |a | | b | |c | | d | |e | |f | b d a c e b e f a e b c d f c e 2. Give the incidence matrix and incidence list of
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L. V. TARASOV Ii’ A Basic Concepts for High Schools MAR FUBLISHERS MOSCOW: L. V. TARASOV CALCULUS Basic Concepts for High Schools Translated from the Russian by V. KISIN and A. ZILBERMAN MIR PUBLISHERS Moscow PREFACE Many objects are obscure to us not because our perceptions are poor‚ but simply because these objects are outside of the realm of our conceptions. Kosma Prutkov CONFESSION OF THE AUTHOR. My first acquaintance with calculus (or mathematical
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Errors in Computer Arithmetic Computer Arithmetic: 1. Integer arithmetic: Virtually all the computer offer integer arithmetic. The two properties of integer arithmetic are as follows a) Result of any arithmetic operation is an integer b) Result is always exact with two exceptions • Range of integer that can be represented is not infinite but is bounded above and below. • The result of the division operation is given as the combination of the quotient
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perfection. The Geometric period of Greek art takes its name from the geometric patterns on vases from this era. However geometric shapes did not appear for the first time in this period. Circles‚ lines‚ spirals‚ triangles‚ and squares used in prior cultures like in Mesopotamia‚ West Asia and Asia Minor‚ Central Europe‚ and in many vessels of the Minoan and Mycenaean civilization. The Arrangement on the surface of their vessels was one thing that distinguishes the Greek geometric art. In the past
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In antiquity‚ geometric constructions of figures and lengths were restricted to the use of only a straightedge and compass (or in Plato’s case‚ a compass only; a technique now called a Mascheroni construction). Although the term "ruler" is sometimes used instead of "straightedge‚" the Greek prescription prohibited markings that could be used to make measurements. Furthermore‚ the "compass" could not even be used to mark off distances by setting it and then "walking" it along‚ so the compass had to
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