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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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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WHAT IS CANIVAL ?‚ ITS ORIGINS AND HISTORY The Trinidad and Tobago Carnival is an annual event held on the Monday and Tuesday before Ash Wednesday in Trinidad and Tobago. The event is well known for participants’ colourful costumes and exuberant celebrations. Carnival is the most significant event on the islands’ cultural and tourism calendar‚ with numerous cultural events running in the lead up to the street parade on Carnival Monday and Tuesday. It is said that if the islanders are not celebrating
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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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Automobile Segment Targeting There are many needs of consumers when they are looking for a vehicle to purchase or rent. However‚ some needs may not apply to each individual. I have included several things that different types of people would feel they need. * * Truck bed * Seating capacity (6+) * Compact (for speed) * Spacious * Trunk space * Additional storage * High pulling power * All-terrain capable * High-safety rating * High top speed and acceleration
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Carnival is celebrated everywhere in Brazil‚ but in Rio de Janeiro‚ the celebration becomes a fantastic spectacle during the summer months (February‚ and March) in the country. It is wild‚ wacky‚ frivolous‚ and most say‚ quite enjoyable. Passionate‚ exuberant Rio comes alive when Carnival begins. As the temperature heats up‚ so do days of seemingly endless parades‚ balls and parties in Cidade Maravilhosa‚ or the "Marvelous City"‚ as Rio is sometimes called. It has to do with people‚ with the color
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EXERCISE 2STRAIGHT LINES Question 1: Write the equations for the x and y-axes. Answer : The y-coordinate of every point on the x-axis is 0. Therefore‚ the equation of the x-axis is y = 0. The x-coordinate of every point on the y-axis is 0. Therefore‚ the equation of the y-axis is x = 0. Question 2: Find the equation of the line which passes through the point (–4‚ 3) with slope . Answer : We know that the equation of the line passing through point ‚ whose slope is m‚ is . Thus‚ the equation
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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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3‚ and 4. The first thing one can deduce is that by using the points A‚ O‚ P’‚ and P two isosceles triangles can be formed; ∆AOP and ∆AOP’. To rationalize this assertion through an analytic approach it should first be understood that all line segments that connect the center of a circle to its perimeter‚ or circumference‚ is considered to be its radius. Because P’ and O are both located within the circumference of C3 and connect to its center‚ A‚ we can establish that AP’ and OA are radii of C3
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