Geometry

We can easily convert this into Cartesian form by replacing z by x+iy |(x+iy)-(-3 +2i)|=5 |(x+3) + i(y-2)|=5 √(〖(x+3)〗^2+〖(y-2)〗^2 ) =5 or 〖(x+3)〗^2+〖(y-2)〗^2=25 Which is the exact form of a Cartesian equation of a circle with a center of (-3, 2) and a radius of 5 We could check if a particular point lies on the circle Ex. z2=1-3i Substituting into the equation of the circle, with z replaced by z2=1-3i |(1-3i) - (-3 + 2i)|=5 |4-5i|=5 √(4^2+〖(-5)〗^2 ) =5 41=5, which is not true, thus z2 does not…

Throughout the movie the Wizard of Oz the Scarecrow would say “if I only had a brain”. However, the Scarecrow didn’t even need a brain; he already had what he wanted. This was shown in multiple scenes of the movie; one being when Dorothy tries to pick apples from the tree. In the movie, the Scarecrow’s smarts are shown by how he gets apples for Dorothy. Dorothy tries to pick apples from a tree and they yell at her and Dorothy is frightened. Next, the scarecrow pulls Dorothy away from the trees…

The position of the source is crucial for accurate treatment planning and delivery. The patient needs to be examined (through ultrasound, CT imaging, etc.) before treatment planning begins and before each treatment so that the geometry and positioning of the source to the intended target is precise and accurate. Each day before HDR treatment, the radiation therapist must utilize a departmental QA checklist. There are several components to this checklist. • Visual inspection of transfer…

True Rulers’ Education and Qualities as Described in Plato’s Republic Throughout Plato’s republic, the construction of the ideal city, the Kallipolis and its components are spoken about thoroughly, one of its main components are the guardians. The guardians are the highest and ruling class of the three classes of the Kallipolis; producers, auxiliaries and guardians. Guardians are chosen from the ranks of the auxiliaries (Plato, 2004, 101). The guardians’ education, upbringing, lifestyle, soul,…

Ancient Greece was, perhaps, one of the most greatest and influential civilization that has ever existed. Greek culture has significantly contributed to the world, more specifically Western civilization, through politics, arts, and education, all which are still used and admired til this day. The Ancient Greeks are considered as being the first country to adopt a democratic government system, a system that the West has too adopted (with a few changes). In addition, the Greeks were highly skilled…

This paper examples the formation of the Deccan traps, the Deccan continental flood basalt, and present day Indian. Its first provides a brief background on what the Deccan Traps are and the history of their geologic integrity. The proof is explained through scientists seismic tomographic models and the evolution of the Indian plate, the Reunion island hotspot, and the evolution of lithospheric mantle structure. Keywords: deccan, mantle, plate, hotspot, reunion, reconstructions.…

The first major difference from a billiard table is that one end is rounded instead of square. The second diversion is that instead of pockets around the edge, the semi-circular end features nine holes (in the manner of Bar Billiards), one in the middle of the semi-circle and the rest surrounding it evenly in a ring. The hole in the middle is numbered nine, the others are numbered 1 - 8 in a semi-random order. Rather like a Billiards table, Pool table or Darts board, a variety of games can be…

Katherine started attending West Virginia State College now West Virginia State University. Dr. W.W. Schieffelin Claytor was the third African American to earn a PhD degree in mathematics, created a special course specifically for Katherine in analytic geometry. In 1940, she attended…

A tessellation is a group of shapes fitted together closely, and example would be a polygon in a repeated pattern with no gaps or no overlapping. You can tile floors with them or just make a fun design there are many things you can do with them. They are in bathrooms, kitchens, on quilts, etc. You may have never noticed what they were. In the article (Tessellations) by Dana Mackenzie, it talks about how tessellation are all over the world in many ways. They are used in a lot of different…

I noticed myself drifting, and I knew something had to be done. I applied for a local charter school in the middle of geometry class. I had my heart so set on leaving Byrnes that I literally forgot to tell my parents that I enrolled for High Point until they got my acceptance letter in the mail. Once i moved to high point, I became greatly influenced by the peers around…