Pythagorean Quadratic Essay Example for Free

Pythagorean Quadratic Essay The Pythagorean Theorem was termed after Pythagoras, who was a well-known Greek philosopher and mathematician, and the Pythagorean Theorem is one of the first theorems identified in ancient civilizations. â€Å"The Pythagorean theorem says that in any right triangle the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse† (Dugopolski, 2012, p. 366 para. 8). For this reason, many builders from various times throughout history have used this theorem to assure that their foundations were laid out with right angles. In this assignment, we will use the example of locating a treasure using two different treasure maps as the two points needed to determine how many paces it will take to find the exact location to start digging for treasure. For this assignment, we are given instructions to solve problem number 98 from page 371 in Elementary and Intermediate Algebra, which states that Ahmed’s treasure map specifies that the treasure can be found 2x +6 steps from Castle Rock and Vanessa’s half indicates to walk x steps heading north, then 2x + 4 steps toward the east (Dugopolski, 2012). We need use the Pythagorean Theorem to figure out what variable x would be if they were to work together and combine their information. The Pythagorean Theorem indicates that a right triangle has legs with the length of a and b and the longest side of the triangle, the hypotenuse, as the length of c. Thus, the relationship with these lengths is the short equation of a2 + b2 = c2 The issue now is that one of the answers is extraneous, because it does not satisfy this specific scenario. The reason for this is that logically we would not take negative steps to reach a certain point or in a geometric situation, we cannot move a negative distance (Dugopolski, 2012). This means that -2 will not work for this equation, so the only answer we are left with is x = 10 paces. In summary, Vanessa’s portion of the map tells us that the treasure is located 10 paces north and 2x + 4 = 2(10) + 4= 24 paces east of Castle Rock. While Ahmed’s map tells us to take 2x + 6 = 2(10) + 6= 26 paces heading directly towards the rock. The Pythagorean Theorem is a very useful tool when we have a right-angled triangle and know the lengths of at least two sides, because it enables us to determine the length of the third side. On television, many of us have seen how important determining the trajectory of a bullet is to a crime scene, so it would be extremely critical to understand this theorem if your career was as a crime scene investigators. Another career that uses this theorem is an architect who would use this for a home’s triangular rooftop. One of the more commonly every day uses is with navigation, although many of us simply rely on our navigational systems, we could still pinpoint our location if we have two points to start with. ? Reference Dugopolski, M. (2012). Elementary and Intermediate Algebra (4th ed. ). New York, NY: McGraw-Hill Publishing.

Actuality of the Dream Essay -- essays papers

Actuality of the Dream At the onset of an emerging American society, J. Hector St. John de Crevecoeur comments on the principles of American social organization and the new consciousness that was arising in Letters from an American Farmer. Crevecoeur incorporated not only his own personal feelings and thoughts into this work, but also integrated depictions of ordinary American life using the â€Å"important philosophical, political, and economic theories of the Enlightenment† (850). The images of a picturesque American farmer whose life is seemingly perfect and filled with abundant happiness in his â€Å"new† world is the foundation, but this vision is abruptly transformed into complete despondency when â€Å"perfection† is contaminated with slavery and Revolution. The detailed illustration of this dream world, gone array, is filled with intense accounts of utter bliss and happiness to those of horrific brutality and desolation. In Letters, Crevecoeur effectively utilizes imagery in scenes of farming, slavery and war, and progressive changes in tone to portray the actuality of the new â€Å"happy† land of opportunity, America, that entitles each to â€Å"entertain new ideas and form new opinions† while also depicting a complete divergence from English traditions (857). Thus, producing the formation of the American, the destruction of a notion of the ideal life, and the development of the American consciousness. Crevecoeur poses the famous question, ‘What, then, is the American, this new man?’ (850) He also addresses some of the most pressing concerns of the time: the issue of American identity, self-interests, and freedom from institutional oppression. While celebrating the largeness and fertility of the land, this narrative also introduces darker elements, including slavery and war that casts a long shadow over the new nation. During a time of monarchial rule where free choice and independence were not even considered, Crevecoeur created a setting through images of freedom, where pursuit of self-interest is the way of life and the only governing landlord is â€Å"the lord of all the land† (852). This is an extremely problematic notion because James is still a British subject, loyal to the throne, only reaping the benefits of a fertile America while claiming no steadfast allegiance to either country. Although it appears he is loyal to America as he states, â€Å"I felt myself h... ...Although America appeared to offer freedom from monarchial rule, it did not promise a society free from conflict and differing ideas. And it is this that makes for an effective work: the promise of freedom appeals to the masses that so desperately seek it in combination with the variations in imagery and tone on account of an altering society that prove extremely effective both literarily and rhetorically. Thus, the formation of the American was more than just the creation of a specific type of person. It was the development of a consciousness—an understanding and acceptance of the changes that are bound to face a society that allows for freedom of thought and the formation of new and diverse opinions. And this is what Crevecoeur is attempting to prove through the delight and tribulations in Letters from an American Farmer. No matter where James escaped to, there would be evils to plague his happiness. America offered the freedom to choose, and to be an American would mean to retain personal independence and pursue self-interests. However, even freedom has its downside. Bibliography: The Heath Anthology of American Literature Third Edition. Paul Lauter (general editor) Actuality of the Dream Essay -- essays papers Actuality of the Dream At the onset of an emerging American society, J. Hector St. John de Crevecoeur comments on the principles of American social organization and the new consciousness that was arising in Letters from an American Farmer. Crevecoeur incorporated not only his own personal feelings and thoughts into this work, but also integrated depictions of ordinary American life using the â€Å"important philosophical, political, and economic theories of the Enlightenment† (850). The images of a picturesque American farmer whose life is seemingly perfect and filled with abundant happiness in his â€Å"new† world is the foundation, but this vision is abruptly transformed into complete despondency when â€Å"perfection† is contaminated with slavery and Revolution. The detailed illustration of this dream world, gone array, is filled with intense accounts of utter bliss and happiness to those of horrific brutality and desolation. In Letters, Crevecoeur effectively utilizes imagery in scenes of farming, slavery and war, and progressive changes in tone to portray the actuality of the new â€Å"happy† land of opportunity, America, that entitles each to â€Å"entertain new ideas and form new opinions† while also depicting a complete divergence from English traditions (857). Thus, producing the formation of the American, the destruction of a notion of the ideal life, and the development of the American consciousness. Crevecoeur poses the famous question, ‘What, then, is the American, this new man?’ (850) He also addresses some of the most pressing concerns of the time: the issue of American identity, self-interests, and freedom from institutional oppression. While celebrating the largeness and fertility of the land, this narrative also introduces darker elements, including slavery and war that casts a long shadow over the new nation. During a time of monarchial rule where free choice and independence were not even considered, Crevecoeur created a setting through images of freedom, where pursuit of self-interest is the way of life and the only governing landlord is â€Å"the lord of all the land† (852). This is an extremely problematic notion because James is still a British subject, loyal to the throne, only reaping the benefits of a fertile America while claiming no steadfast allegiance to either country. Although it appears he is loyal to America as he states, â€Å"I felt myself h... ...Although America appeared to offer freedom from monarchial rule, it did not promise a society free from conflict and differing ideas. And it is this that makes for an effective work: the promise of freedom appeals to the masses that so desperately seek it in combination with the variations in imagery and tone on account of an altering society that prove extremely effective both literarily and rhetorically. Thus, the formation of the American was more than just the creation of a specific type of person. It was the development of a consciousness—an understanding and acceptance of the changes that are bound to face a society that allows for freedom of thought and the formation of new and diverse opinions. And this is what Crevecoeur is attempting to prove through the delight and tribulations in Letters from an American Farmer. No matter where James escaped to, there would be evils to plague his happiness. America offered the freedom to choose, and to be an American would mean to retain personal independence and pursue self-interests. However, even freedom has its downside. Bibliography: The Heath Anthology of American Literature Third Edition. Paul Lauter (general editor)

A Bergerian Reading and Chris “Ludacris” Bridges

The whole of our existence is shaped by our experiences – the various situations that we find ourselves in. Parts of our experiences are influenced by what we see, and what we see takes us to new levels of experiences that allow us to situate ourselves in thoughts or visions represented by what we virtually perceive.Interpretations of visual texts, such as works of art, therefore are based on our perceptions and points of view, consequently leading to subjectivity despite the conventional meanings embedded within these works of art by the artist.Under these pretexts, various works of art, borne out of the social events, situations, or landscapes in the past, become subjects of mystification. Such are the views or perspectives of John Berger on art, particularly on Franz Hals’ portraits, the â€Å"Regents of the Old Men’s Alms House† and the â€Å"Regentesses of the Old Men’s House† (1580-1666) – that the social construct from which the se works were created are mystified because of its incongruity to modern times.Berger, a seasoned art critique, presented a complex yet analytical perspective on the works of Hals, focusing on their being representative of history and how they are inevitably mystified not only by our perspectives as inhabitants of the modern day world but also Hals’, in his own words, oversimplification of what the portraits truly imply.Moreover, because of Berger’s analysis and personal critiques on the work of Hals, we as viewers of the visual text, begin to understand that the portraits are not merely images that represent superficial artistic and social elements such as unity and harmony, the ideas formed from observing facial expressions, gestures, and such.Furthermore, Hals’ works of art are snapshots of the social and economic situations that the artist, the regents and the regentesses found themselves in.The portraits seem to capture the kind of relationship that exists between the artist and the subjects of art, expressing something more – a drama that represents a historical landscape that is shared by Hals and his subjects within a social environment that was illuminated and solidified by large gaps among social groups or classes – brought to life by Hals’ artistry and ingà ©nue in translating emotions and perspectives to visual arts.The analytical perspectives of Berger as explored in his interpretations of Hals’ portraits shall be utilized to describe the messages or arguments evident in a portrait taken of the actor/rapper Chris â€Å"Ludacris† Bridges. In order to do so, it is highly significant to go over Berger’s perceptions or points of view on viewing art, particularly of Hals’ portraits, by creating a framework from which the visual analysis of the Ludacris’ portrait shall be based on.According to Berger, the act of viewing pieces of art may be done in various ways depending on: a ) one’s perspective, b) the artists’ perspective, c) other people’s perspectives, d) the social, economic, or political situations within which the piece of art was conceptualized, and e) the present social, economic, or political situations completing a shared link between the past and the present.Moreover, Berger stressed that it is equally important that in order to understand the genuine sense or value of pieces of art, that viewers look or interpret them beyond their personal perspectives and the pictorial nature of the portrait.Viewing art should not adhere to convention of perspectives that was existent during the Renaissance because it limits the span of pieces of art to convey deeper and comprehensive meanings. The convention of perspectives isolates what the viewer might all-inclusively learn cognitively, emotionally or psychologically, socially, spiritually and such.Therefore, reading or interpreting visual texts should be a combination of one’ s perspectives as they relate to the artists’ and other people’s perspectives, and the connections between the social, economic, and political situations from past to present. Human beings should also be aware that they are represented by and connected to art, as art is also able to view the viewer because of shared visual perspectives.The key to analyzing Ludacris’ portrait is to view it radically, if we are to align ourselves with Berger’s ideologies and perspectives. Ludacris’ portrait, being an image intended to represent remarkable style to signify celebrity-like success, borders on deception and absurdity.The explicit message that the artist photographer Robert Maxwell intended to express was associated with the vision of Moà «t & Chandon; and that is, how adapting elegant, stylish, and distinctive fashion may be translated to remarkableness and success in the limelight that are consequently significant causes for celebration This argument i s solidified by the nature of the camera – a narrow and limited perspective of things and situations – utilized by Maxwell in order to represent a specific idea or though restricted by the visualizations or representations of Moà «t & Chandon, an well-known international producer of champagne that embodies conceptions of â€Å"splendour, pleasure, and prestige.† (Moà «t & Chandon)

Constantine And Christianity Essay - 1784 Words

Gaius Flavius Valerius Aurelius Constantinus, or Constantine, is commonly referred to as the fist Christian emperor of the Roman Empire and as the defender of Christianity. Such grand titles are not necessarily due for the reasons that people commonly think of them today. The first clear instance where Christianity is seen in Constantines life is during his campaign against Maxentius. In the spring of 311, when Constantine was marching to Rome to battle against Maxentius, he saw a vision in the sky, a bright cross along with the words by this sign conquer. Later that night, he had a dream in which God told him to use that sign as a safeguard to use in all of his future battles. Constantine awoke and immediately ordered his troops†¦show more content†¦Once Constantine became the ruler of the entire Western Roman Empire, he met with Licinius, the co-emperor of the eastern empire, in Milan in 313. The intended purpose of this visit was to secure an alliance between the two rulers by the marriage of Constantines half-sister Constantia to Lucinius. It was at this time that the emperors established what is now known as the Edict of Milan. It granted the freedom to pursue any religion within the empire, not just Christianity. Christianity was merely made legal at this point, not the state-sponsored religion. The edict also granted the return of properties seized from Christians by governors. Maximinus Daia, who was the co-ruler of the eastern empire invaded Lucinian territory in the Balkans and was defeated by Lucinius army. After a time, relations soured between Constantine and Lucinius. Lucinius eventually went back on the agreement made during the Edict of Milan and in 322 and began persecuting Christians once again (Constantine I). This led to the conflict between him and Constantine in 324, which was viewed as a war of religious beliefs in which Lucinius and his army of Goth mercenaries represented ancient pagan beliefs, and Constantine and his army of Francs represented Christianity. The opposing armies met at Adrianople on the third of July and eventually led to Constantine besieging the city of Byzantium with his ground troops and naval fleet.Show MoreRelatedConstantine and Christianity Essay2155 Words   |  9 PagesWhat was the impact that Constantine had on Christianity after he conquered the Roman Empire? As a stone penetrating a tide of water, Constantine penetrated through pagan worship as he brought Christianity to the forefront after the great battle in the Roman Empire. It changed the way Romans worshiped and impacted their society as a whole. Christianity was brought to the fore front greatly due to the support of Constantine. 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