  Assignment 9

 "No employment can be managed without arithmetic, no mechanical invention without geometry." -- (Benjamin Franklin) The effects of time have destroyed many great mathematical works of significance. One survivor is the Rhind Papyrus, from approximately 1800 B.C., which provides much information about ancient Egyptian mathematics. It is about 1 foot high and 18 feet long, and rests in a British museum. The Rhind Papyrus contains 85 problems written in hieratic form. Many of the problems involve the concepts of counting and measuring. Egyptian arithmetic operations didn't include fractions that contained numerators other than 1. The Rhind Papyrus contains a table that allows the reader to represent fractions as a sum of fractions with a numerator of 1. For instance, 2/97 = 1/56 + 1/679 + 1/776. When Herkimer was a clergyman, what did he say to the parishioner whose name he couldn't remember? Answer: "I can't remember your name, but your faith is familiar." Things Herky would like to know: How did a fool and his money get together in the first place? Why is the word abbreviation so long? Reading: Review Section 2.3, as necessary, Written: Pages 87-88/58-63 (Write these up neatly.) Mathematical word analysis:FRACTION: From the Latin word frangere (to break). In this sense, a fraction is a broken portion of some whole.
To determine a line, one needs two basic things: The slope and a point on the line. It is true that if you are given two points on the line, you can "determine" the line, but to describe it with an equation you need to calculate the slope.

Example: What is the equation of the line with slope 3 that contains the point (2,15).

Response: y - 15 = 3(x - 2) ==> y = 3x +9.

Example: What is the equation of the line containing (3,6) and (-1,14).

Response: The slope of the line is (6-14)/[3-(-1)] = -8/4 = -2. The equation of the line is

y - 6 = -2(x - 3) ==> y = -2x +12.