## The coordinates of two points A and B are (2, -3) and (-4, 5) and R is the mid-point of AB.2/1/2023 ## questionsThe coordinates of two points A and B are (2, -3) and (-4, 5) and R is the mid-point of AB.
a) Determine the coordinates of R. (2 marks)
b) Find the equation of a straight line joining A and B, expressing it in the form y=mx+c where m and c are constants. (3 marks) c) The straight line L_(1 ) which is a perpendicular bisector of AB meets the X-axis at T. Find the coordinates of T. (3 marks) d) If the straight line L_(1 )is parallel to a line that passes through the point (-1, 6) and (a, 8), find a. (2 marks) ## answers## During a certain ceremony goats and chicken were slaughtered. The number of heads (for both chicken and goats) was 45. The total number of legs was 100. Determine the exact number of goats and chicken slaughtered. (3mks) ## Worked Answer:
## Form 2 MathematicsDetermine the number of type A bulbs that she bought. ## Form 3 Mathematics
Use completing the square method to solve 3x
^{2} + 8x — 6 = 0, correct to 3 significant figures.
## Form 2 Mathematics## Form 3 MathematicsThe number of tree seedlings planted by Murimi in each row were 4 more than those planted by Naliaka in each row. Calculate the number of seedlings Murimi planted in each row. ## Form 3 Mathematics
a)Solve the equation
b) The length of a floor of a rectangular hall is 9m more than its width. The area of the floor is 136m
^{2}.i)Calculate the perimeter of the floor ii)A rectangular carpet is placed on the floor of the wall leaving an area of 64m ^{2}. If the length of a carpet is twice its width, determine the width of the carpet.
## Form 1 MathematicsKsh 4 800. Calculate the new cost of a jacket and that of a shirt. ## Form 2 Mathematics 5x + y = 19
-x + 3y = 9 - a) Write the equations in matrix form. Hence solve the simultaneous equations. (5mks)
- b) Fins the distance of the point of intersection for the line
5x +y = 19 and –x +3y = 9 from the point (11,-2) (3mks)
## Form 2 Mathematics## Form 3 Mathematics
(a) Complete the table below for y = x
^{3}+4x^{2}-5x-5
(b) On the grid provided, draw the graphs of y = x
^{3} +4x^{2}-5x-5 for -5 ≤ x ≤ 2(c) (i) Use the graph to solve the equation x ^{3} +4x^{2} – 5x – 5 = 0(ii) By drawing a suitable straight line on the graph, solve the equation x ^{3} + 4x^{2} – 5x -5 = - 4x – 1
## Form 1 MathematicsHadija bought 2 pens and 3 exercise books for Kshs 78. Kagendo bought pens and 4 exercise books for Kshs 108 Calculate the cost of each item ## Form 3 Mathematics
A curve is given by the equation: u = 5x
^{3} – 7x^{2} + 3x +2) Gradient of the curve at x = 1
## Form 2 Mathematics | Topical Questions and Answers- (a) Find the price of each item
- (b) Musoma spent Kshs. 228 to buy the same type of pencils and biro pens. If the number of biro- pens he bought were 4 more than the number of pencils, find the number of pencils bought.
## Related Questions on Linear and Simultaneous Equations## The mass of 6 similar art books and 4 similar biology books is 7.2 kg. The mass of 2 such art books and 3 such biology books is 3.4 kg. Find the mass of one art book and mass of one biology book.## The coordinates of the points P and Q are ( 1, -2) and ( 4, 10) respectively. |