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- The midpoint of a vector PQ whose P (1, -4) and Q (x, y) is (-2, 5).
a) Find the values of x and y.
b) Calculate...(Solved)
The midpoint of a vector PQ whose P (1, -4) and Q (x, y) is (-2, 5).
a) Find the values of x and y.
b) Calculate the length of PQ to 4 s.f
Date posted: August 13, 2019. Answers (1)
- Solve for x in the logarithm equation.
log (3x – 4) – log (3 – x) = 1(Solved)
Solve for x in the logarithm equation.
log (3x – 4) – log (3 – x) = 1
Date posted: August 13, 2019. Answers (1)
- A positive two digit number is such that the product of the digits is 24. When the digits are reversed, the number formed is greater...(Solved)
A positive two digit number is such that the product of the digits is 24. When the digits are reversed, the number formed is greater than original number by 18. Find the number.
Date posted: August 13, 2019. Answers (1)
- Using tables of reciprocals, find the value of M if;(Solved)
Using tables of reciprocals, find the value of M if;
Date posted: August 13, 2019. Answers (1)
- Simplify the expression below(Solved)
Simplify the expression below
Date posted: August 13, 2019. Answers (1)
- The surface area of two cylindrical water tanks are 50m2 and 162m2 respectively. Given that the volume of water in the second tank is 36450m3,...(Solved)
The surface area of two cylindrical water tanks are 50m2 and 162m2 respectively. Given that the volume of water in the second tank is 36450m3, find the volume of water in the first tank if it’s half full.
Date posted: August 13, 2019. Answers (1)
- A line passing through points P (4, a) and Q (3, 2) is perpendicular to the line 3y + x + 3 = 0. Find...(Solved)
A line passing through points P (4, a) and Q (3, 2) is perpendicular to the line 3y + x + 3 = 0. Find the value of a and write down equation of line PQ.
Date posted: August 13, 2019. Answers (1)
- Use a calculator or otherwise to evaluate,(Solved)
Use a calculator or otherwise to evaluate,
Date posted: August 13, 2019. Answers (1)
- A matatu left town A at 7.00 a.m and travelled towards a town B at an average speed of 60km/h.
A second matatu left town B...(Solved)
A matatu left town A at 7.00 a.m and travelled towards a town B at an average speed of 60km/h.
A second matatu left town B at 8.00 a.m and travelled towards town A at an average 60 km/h. If the distance between the two towns is 400 km, find:
a) The time at which the two matatus met.
b) The distance of the meeting point from town A.
Date posted: August 13, 2019. Answers (1)
- The figure below shows a circle centre O. PQRS is a cyclic quadrilateral and QOS is a straight line.
Giving reasons for your answers, find the...(Solved)
The figure below shows a circle centre O. PQRS is a cyclic quadrilateral and QOS is a straight line.
Giving reasons for your answers, find the value of:
a) b) c) d) e) Reflex
Date posted: August 13, 2019. Answers (1)
- A motorist is to follow the route ABCD. B is 250 km from A on a bearing of N750E from A. C is on a...(Solved)
A motorist is to follow the route ABCD. B is 250 km from A on a bearing of N750E from A. C is on a bearing of S750E from A and 275 km from B. D is 300 m on a bearing of S800E from B. Using a scale of 1 cm to represent 50 km;
a) Show the relative position of ABCD.
b) Determine:
i) The distance of A from C
ii) The bearing of B from C
iii) The distance of A from D
iv) The compass bearing of C from D
Date posted: August 13, 2019. Answers (1)
- The figure below shows the net of a regular rectangular based pyramid. The rectangle measures 18 cm by 15 cm. N and K are mid-points...(Solved)
The figure below shows the net of a regular rectangular based pyramid. The rectangle measures 18 cm by 15 cm. N and K are mid-points of AD and BC respectively. AB=18 cm and BC= 15 cm while VK=16 cm. V is the vertex and O is the centre of the rectangle ABCD.
a).Sketch the pyramid and label all the vertices
b) From the diagram in (a) above, calculate to 2 decimal places.
i) Length CV
ii) Length VO
iii) The angle between the plane VCB and the base ABCD.
iv) The angle between the plane BVC and AVD
Date posted: August 13, 2019. Answers (1)
- a) Use the trapezium rule with 5 strips to estimate the area enclosed by the curve, the x-axisand the lines x=-2 and x=3 of the...(Solved)
a) Use the trapezium rule with 5 strips to estimate the area enclosed by the curve, the x-axis and the lines x=-2 and x=3 of the curve y=x2+x+9.
b) Find the exact area bounded by the curve, the x-axis and the line x=-2 and x=3.
c) Find the percentage error in your workings.
Date posted: August 13, 2019. Answers (1)
- A self help group of 10 young men invested Shs 72,000 in two companies A and B. A pays a dividend of 22.5% while B...(Solved)
A self help group of 10 young men invested Shs 72,000 in two companies A and B. A pays a dividend of 22.5% while B pays a dividend of 21%. If from their total investment they obtained a return of 21.5%, how much money did they invest in each company?
Date posted: August 13, 2019. Answers (1)
- A triangle PQR has a height of x cm and a base of(x+3) cm. if its area is 5 cm2, calculate the height of its...(Solved)
A triangle PQR has a height of x cm and a base of(x+3) cm. if its area is 5 cm2, calculate the height of its base.
Date posted: August 13, 2019. Answers (1)
- Solve the following simultaneous equations using matrix Method.(Solved)
Solve the following simultaneous equations using matrix Method.
4a+3b=120
2a+5b=130
Date posted: August 13, 2019. Answers (1)
- The total marks scored in a test by 6 pupils was 420. If the mean mark for the first 5 pupils was 68. (Solved)
The total marks scored in a test by 6 pupils was 420. If the mean mark for the first 5 pupils was 68, find the marks scored by the sixth pupil.
Date posted: August 13, 2019. Answers (1)
- Use the reciprocal tables, square tables and cube tables to evaluate;(Solved)
Use the reciprocal tables, square tables and cube tables to evaluate;
Date posted: August 13, 2019. Answers (1)
- The perimeter of a triangular field is 120 M. Two of the sides are 21m and 40m. calculate the largest angle of the field hence...(Solved)
The perimeter of a triangular field is 120 M. Two of the sides are 21m and 40m. calculate the largest angle of the field hence find the area of the field.
Date posted: August 13, 2019. Answers (1)
- The equation of a circle is given by 2x2+16x+2y2-4y-2=0. Determine the radius and centre of the circle.(Solved)
The equation of a circle is given by 2x2+16x+2y2-4y-2=0. Determine the radius and centre of the circle.
Date posted: August 13, 2019. Answers (1)