Tag: MATHEMATICS

LINEAR PROGRAMMING SIMULTANEOUS EQUATIONS Solving simultaneous equations graphically, the solution is given by the point of intersection of the two lines. Examples 1. Solve graphically the following simultaneous equations. 2x – y = 1 3x+3y =6 Equation 1 2x – y = 1 X intercept, y= 0 2x – y…

MATRICES Operations on matrices A matrix represents another way of writing information. Here the information is written as rectangular array. For example two students Juma and Anna sit a math Exam and an English Exam. Juma scores 92% and 85%, while Anna scores 66% and 86%. This can be written…

VECTORS Displacement and Position Vectors. Displacement Examples of vector quantities are displacement, Velocity, acceleration, force, momentum, electric field and magnetic field. Quantities which have magnitude only scalars, for example distance, speed, Pleasure, time and temperature. Sometimes a single. Small letter with a bar below like a or a like a…

TRIGONOMETRY Trigonometrical ratios in a unit circle The three trigonometrical ratios of sine, cosine and tangent have been defined earlier, using the sides of a right-angled triangle as follows If A is an angle as shown Consider a circle of units subdivided into four congruent sectors of the coordinate axes…

PROBABILITY Defn: Probability is a branch of mathematics which deals with and shows how to measure these uncertainties of events in every day life. It provides a quantitative occurrences and situations. In other words. It is a measure of chances. Probability set and Event Suppose that an experiment of tossing…

THREE-DEMENSIONAL FIGURES INTRODUCTION A three dimensional figure is a solid figure having three measures. Some examples are pyramids, cylinders, prisms, cubes and cuboids. – Apart from three dimensional figures, there are also one and two dimensional figures. Examples A line is one – dimensional. There is one direction to move…

  AREAS AND VOLUMES   AREAS CASE 1.Right angled triangle Area = ½ b x h 2. Triangle with altitude that lies within the triangle Area 0f Δ ABC = ½ bh + ½ d h = ½ h(b + d) = ½ hL 3. A triangle where the altitude…

COORDINATE GEOMETRY Exercise 1. Plot the following point. P (2,2), T (-1, -2), L (2, -1) 2. In which quadrants is the? a. Abscissa positive? I b. Ordinate negative III c. Abscissa negative II d. Ordinate positive I e. Abscissa negative and ordinate negative? III EQUATIONS IN A STRAIGHT LINE…