around 250A.D. started some kind of research on some equations involving more than one variables which would take only integer values.These equations are famously known as “DIOPHANTINE EQUATION”‚named due to Diophantus.The simplest type of Diophantine equations that we shall consider is the Linear Diophantine equations in two variables: ax+by=c‚ where a‚b‚c are integers and a‚b are not both zero. We also have many kinds of Diophantine equations where our main goal is to find out its solutions
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SYSTEM OF LINEAR EQUATIONS IN TWO VARIABLES Solve the following systems: 1. x y 8 x y 2 by graphing by substitution by elimination by Cramer’s rule 2. 2 x 5 y 9 0 x 3y 1 0 by graphing by substitution by elimination by Cramer’s rule 3. 4 x 5 y 7 0 2 x 3 y 11 0 by graphing by substitution by elimination by Cramer’s rule CASE 1: intersecting lines independent & consistent m1m2 CASE 2: parallel lines
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velocity of the stream using Equation 1. (Eqn. 1) Where is the flowrate in m3/s and A is the cross-sectional area of the pipe. To find the flowrate‚ we multiply the flowmeter reading by the constant and convert from gallons to cubic meters as follows: The cross sectional area of the 7.75mm pipe is Plugging these values into Equation 1‚ we obtain a bulk velocity . With the bulk velocity value‚ we can find the Reynolds number of the flow using Equation 2. (Eqn. 2) Plugging
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Calorimetry Equations Monday‚ October 28‚ 2013 12:00 PM TOOL BOX q=mc∆T Water sp. Heat Calorimetry : the measurement of energy (calorie) Calorimeter : tool used to measure energy by Measuring the change in temperature Equation : q=mc∆T What is the difference between Calorimetry and Calorimeter? Quantity of Energy (Cal.) Mass (g) Specific heat (given) (Cal/g) Change in temperature (℃ ) (End-short) What is the dance that we learned
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ACCOUNTING EQUATIONS 1. Show the accounting equation for the following transaction (i) Ram started business with cash 20000‚ stock 50000‚ building 30000 (ii) Sold goods to Amit for cash 20000 and credit 15000 (iii) Paid rent 500 and rent outstanding 150 (iv) Sold goods costing 12000 for Rs. 15000 (v) Accrued commission 2000 (vi) Furniture purchased from Lalit 12000 and paid 3000 in cash (vii) Received from Amit 13500 in full settlement (viii)
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This article is about quadratic equations and solutions. For more general information about quadratic functions‚ see Quadratic function. For more information about quadratic polynomials‚ see Quadratic polynomial. A quartic equation is a fourth-order polynomial equation of the form. A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and (the first power of) a single variable. Monomial – is a polynomial with only one term. Binomial
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The Triathlon Equation Those who are interested in doing the triathlon often do not know how to do their training effectively. First you must build a base. This means you must start with endurance only a few times a week‚ progressing to 6 days a week with one rest day. You should only do 1 activity a day‚ with 1 brick workout a week. A brick workout simulates what it feels like to do two of the activities back to back so that it is easier come race day. Brick examples include: 1.) swim 300m
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Development of an Equation Maggie Purpose: Investigate a chemical reaction using lab procedures and observations. Then‚ find a pattern of reactivity and explain the findings using a chemical equation and particle diagram. Procedure: Refer to: Department of Chemistry‚ The Ohio State University. "Development of an Equation." General Chemistry 1210 Laboratory Manual. Vol. 2013-2014. Plymouth: Hayden-McNeil. 32-35. Data/Results: Part A: In the potassium iodide solution‚ I think there were potassium
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direction of the jetstream. The return trip against the jetstream took four hours. What was the jet’s speed in still air and the jetstream’s speed? 3 ) These circles are identical. What is the value of x ? 4 ) Solve for x using these two equations: 2x + 6 = y; y - x = 2 5 ) The perimeter and the area of this shape are equal. What is the value of x? 6) Shobo’s mother’s present age is six times Shobo’s present age . Shobo’s age five years from now will be one third of his mother’s present
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Kuta Software - Infinite Algebra 2 Name___________________________________ Writing Equations of Circles Date________________ Period____ Use the information provided to write the standard form equation of each circle. 1) 8 x + x 2 − 2 y = 64 − y 2 2) 137 + 6 y = − y 2 − x 2 − 24 x 3) x 2 + y 2 + 14 x − 12 y + 4 = 0 4) y 2 + 2 x + x 2 = 24 y − 120 5) x 2 + 2 x + y 2 = 55 + 10 y 6) 8 x + 32 y + y 2 = −263 − x 2 7) Center: (−11‚ −8) Radius: 4 8) Center: (−6‚ −15) Radius: 5 9) ( x − 16) 2
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