points Q and R on medians BE and CF respectively such that BQ : QE = 2 : 1 and CR : RF = 2 : 1. Q. 11. In what ratio does the line 4x + y = 11 divide the line segment joining the points (1‚ 3) and (2‚ 7). Q. 12. If the points (5‚ 4) and (x‚ y) are equidistant from the point (4‚ 5); then show that x2 + y2 – 8x – 10y + 39 = 0 Q. 13. The line segment joining the points (3‚ – 4) and (1‚ 2) is trisected at the points P and Q. If the coordinates of P and Q are (p‚ – 2) and (5/3‚ q) respectively‚ find the
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Cartesian coordinates in three dimensions A three dimensional Cartesian coordinate system‚ with origin O and axis lines X‚ Y and Z‚ oriented as shown by the arrows. The tick marks on the axes are one length unit apart. The black dot shows the point with coordinatesX = 2‚ Y = 3‚ and Z = 4‚ or (2‚3‚4). Choosing a Cartesian coordinate system for a three-dimensional space means choosing an ordered triplet of lines (axes)‚ any two of them being perpendicular; a single unit of length for all three
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CONTENTS Introduction to AutoCAD GUI of AutoCAD Commands in AutoCAD Layers Viewports Exercises • Sample – 1 • Sample – 2 • Sample – 3 • Sample – 4 • Sample – 5 3D in AutoCAD 3D commands 3D Exercises • Sample – 1 • Sample – 2 AutoCAD AutoCAD‚ developed by Autodesk Inc.‚ is the most popular PC – CAD system available in the market. This design package is a general purpose computer aided design and drafting application for your computer. The speed and ease with
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center point of P‚ a radius of OP and AP‚ and a chord‚ OA. Point A is a point of intersection between c1 and c2. Circle 3 has a center point of A and a radius of r and AO. In addition‚ Point P’ is the intersection of C3 with line segment OP. As I analyzed the given line segments‚ I noticed that Circles‚ c1 and c3‚ share the same radius. As stated by the given data‚ r is equal to 1. Therefore‚ the radius of circle 1 and 3 are both 1. HELP HELP HELP HELP
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Target Market Segment Southwest has recently expanded the target market segments to Minneapolis/St. Paul‚ New York La Guardia‚ Boston Logan‚ and Milwaukee‚ which brings the total to approximately 70 cities. Southwest’s rental car and shuttle service will be made available to all current cities where the company flies‚ but will only be offered at airports within that city. Southwest will enter the global car rental market because the organization only fly’s domestically. Marketing and advertising
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50 Chapter 5 CHOICE (Ch. 5) x2 = 20. Therefore we know that the consumer chooses the bundle (x1 ‚ x2 ) = (120‚ 20). NAME Choice Introduction. You have studied budgets‚ and you have studied preferences. Now is the time to put these two ideas together and do something with them. In this chapter you study the commodity bundle chosen by a utility-maximizing consumer from a given budget. Given prices and income‚ you know how to graph a consumer’s budget. If you also know the consumer’s
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Teaching Mathematics and Its Applications (2009) 28‚ 69^76 doi:10.1093/teamat/hrp003 Advance Access publication 13 March 2009 GeoGebra ç freedom to explore and learn* LINDA FAHLBERG-STOJANOVSKAy Department of Mathematics and Computer Sciences‚ University of St. Clement of Ohrid‚ Bitola‚ FYR Macedonia Downloaded from http://teamat.oxfordjournals.org/ at University of Melbourne Library on October 23‚ 2011 VITOMIR STOJANOVSKI Department of Mechanical Engineering‚ University of St. Clement
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Non-Collinear Points P‚ Q‚ R & S. In the above Diagram‚ Points P‚ Q‚ R & S doesn not falls on the same line and Hence they are called Non-Collinear Points. | Coplanar Definition of Coplanar * A set of points‚ lines‚ line segments‚ rays or any other geometrical shapes that lie on the same plane are said to be Coplanar. More about Coplanar * Parallel lines in three-dimensional space are coplanar‚ but skew lines are not. Example of Coplanar * All the points A‚ B
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FIELD WORK NO. 5 LAYING OF A COMPOUND CURVE USING TRANSIT AND TAPE OBJECTIVES: To be able to lay a compound curve by incremental chords and deflection angle method. To master the skill in leveling‚ orienting‚ and using transit effectively. To work cooperatively with one’s group mates and efficiently perform the required task. MATERIALS/INSTRUMENTS: 2 range poles Chalks 50 meter tape Theodolite METHOD/PROCEDURE: The professor gives the following data: I1= 60⁰ D 1=
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Describe The Market Segment Describe the market segment: Mercedes sells a product for which consumers are willing to pay a premium price. This high price means that Mercedes sells almost exclusively to a small group of very high-income consumers. Describe the product positioning for this specific brand: Mercedes Benz holds a strong position and brand due to perceptions of superior engineering‚ safety‚ and customer satisfaction. Mercedes Benz has always been known for its quality
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