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In a triangle below AOB, OA = a, OB = b, M is the midpoint of AB and N is a point on OB such...
(Solved)
In a triangle below AOB, OA = a, OB = b, M is the midpoint of AB and N is a point on OB such that ON: NB = 1:2 AN and OM intersect at P

a) Express the following vectors in terms of a and b
AB
OM
AN
If OP = SOM express OP in terms of t, a and b
b) If AP = tAN express
AP in terms of t , a and b
c)Hence express OP in terms of t, a and b
d)Using the results above solve for s and t
Date posted:
September 17, 2019
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Answers (1)
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a) Given that y = 2cos (2x – 30)o is the equation of a curve state the amplitude and period of the curve
b)Given that y...
(Solved)
a) Given that y = 2cos (2x – 30)o is the equation of a curve state the amplitude and period of the curve
b)Given that y = -1 1/5 in the above function, find x where 
Date posted:
September 17, 2019
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Answers (1)
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Machine A can do a piece of work n 6 hours while machine B can do the same piece of work in 9 hours. Machine...
(Solved)
Machine A can do a piece of work n 6 hours while machine B can do the same piece of work in 9 hours. Machine A was set to do the piece of work but after 3 hours it broke down and machine B did the rest of the work. Find how long would machine B take to do the rest of the work
Date posted:
September 17, 2019
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Answers (1)
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Expand (1 – 2x)5 hence use the expansion up to the forth term to estimate the value of (0.8)5 correct to 3 decimal...
(Solved)
Expand (1 – 2x)5 hence use the expansion up to the forth term to estimate the value of (0.8)5 correct to 3 decimal places
Date posted:
September 17, 2019
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Answers (1)
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Use logarithms tables to evaluate
(Solved)
Use logarithms tables to evaluate

Date posted:
September 17, 2019
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Answers (1)
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The diagram below shows a sketch of the line y = 16 – x2 and y = x2 – 4x intersecting at point A and...
(Solved)
The diagram below shows a sketch of the line y = 16 – x2 and y = x2 – 4x intersecting at point A and B.

a)Find the coordinates of A and B.
b)Calculate the area bounded by the curve y = 16 – x2 the y-axis and the x-axis.
c)Calculate the area of the shaded region that lies below the x – axis.
d)Calculate the area of the region enclosed by the curves y = 16 – x2, y = x2 – 4x and the y – axis.
Date posted:
September 17, 2019
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Answers (1)
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The points with coordinates (5,5) and (-3, -1) are the ends of a diameter of a circle centre A. Determine;
a)The coordinates of A.
b)The equation of...
(Solved)
The points with coordinates (5,5) and (-3, -1) are the ends of a diameter of a circle centre A. Determine;
a)The coordinates of A.
b)The equation of a circle, expressing it inform of x2 + y2 + ax + by + c = 0 where a, b and c are constants
Date posted:
September 16, 2019
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Answers (1)
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Using trapezoidal rule of 5 strips determine the area under the curve y=3x2 – 20 between the line x=1 and x=6.
(Solved)
Using trapezoidal rule of 5 strips determine the area under the curve y=3x2 – 20 between the line x=1 and x=6.
Date posted:
September 16, 2019
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Answers (1)
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A1B1C1D1 is the image of ABCD under a shear parallel to x – axis D(2,4) is mapped onto D1(1,4) while A(-1,1) is mapped onto A1(1,1)....
(Solved)
A1B1C1D1 is the image of ABCD under a shear parallel to x – axis D(2,4) is mapped onto D1(1,4) while A(-1,1) is mapped onto A1(1,1). If the co – ordinates of A,B,C and D are (-1,1), (0,1), (3,4) and (2,4) respectively:-
(a)Draw ABCD and A1 B1C1 and D1 under the shear on the grid provided and state
Co-ordinates of B1 and C1.
(b)State the invariant line.
(c)A1 B1C1 and D1 undergoes a stretch parallel to y – axis with scale factor -2 and invariant line y =3. On the same grid, draw A//B//C//D// the image of A1 B1C1 D1 under the stretch
(d)Describe completely the transformation that maps A//B//C//D// onto ABCD.
Date posted:
September 16, 2019
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Answers (1)
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Use a ruler and compass ONLY for all constructions in this question.
(a)Construct a triangle ABC in which AB=6 cm, BC= 7 cm and angle ABC...
(Solved)
Use a ruler and compass ONLY for all constructions in this question.
(a)Construct a triangle ABC in which AB=6 cm, BC= 7 cm and angle ABC = 750.
(b)Measure
(i)the length of AC
(ii)the angle ACB
(c)(i)Construct the locus of p such that BP = PC
(ii)Construct the locus of Q such that Q is on the opposite side of BC as A and angle
BCQ = 300.
(d)(i)the locus of P and Q meet at X, mark X .
(ii)Construct the locus of R in which angle BRC = 1200.
Date posted:
September 16, 2019
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Answers (1)
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The table below shows taxation rates in Kenya.
A civil servant is provided with a house and pays a nominal rent of Ksh. 6260 per Month....
(Solved)
The table below shows taxation rates in Kenya.

A civil servant is provided with a house and pays a nominal rent of Ksh. 6260 per Month. In addition the government gives him a medical allowance of Kshs. 7,000 p.m, entertainment allowance of Kshs. 3,000 p.m. He is entitled to a personal relief of Ksh. 1700 p.m. If the civil servants net tax is Kshs. 6,900 p.m.
Determine his :-
(a)Gross tax p.m
(b)Taxable income p.m
(c)Basic salary p.m
Date posted:
September 16, 2019
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Answers (1)
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A computer whose marked price is sh. 40,000 is sold at sh. 56,000 on hire purchase terms. Mary bought the computer on hire purchase terms....
(Solved)
A computer whose marked price is sh. 40,000 is sold at sh. 56,000 on hire purchase terms. Mary bought the computer on hire purchase terms. She paid a deposit of 25% of the hire purchase and cleared the balance by equal Monthly installments of sh. 2625. Calculate the rate of interest charged per Month.
Date posted:
September 16, 2019
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Answers (1)
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Given that OA = 3i + 2j - 4k and OB = 4i -2k and P divides AB externally in the ratio 3:2. Determine...
(Solved)
Given that OA = 3i + 2j - 4k and OB = 4i -2k and P divides AB externally in the ratio 3:2. Determine the coordinates of P.
Date posted:
September 16, 2019
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Answers (1)
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The coordinates of the end points of the diameter of a circle are A(2,4)and B(-2,6). Find the equation of a circle in the form ...
(Solved)
The coordinates of the end points of the diameter of a circle are A(2,4)and B(-2,6). Find the equation of a circle in the form
ax2 + by2 + cx + dy + e = 0
Date posted:
September 16, 2019
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Answers (1)
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The cost of producing a commodity consists of transport, labour and raw materials in the ratio 8:4:12 respectively. If the transport cost increases by 12%,...
(Solved)
The cost of producing a commodity consists of transport, labour and raw materials in the ratio 8:4:12 respectively. If the transport cost increases by 12%, labour cost by 18% and materials by 40%. Find the percentage increase of producing the new commodity.
Date posted:
September 16, 2019
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Answers (1)
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A triangle ABC is transformed by the matrix
to give a straight line. Find the acute angle x in the matrix.
(Solved)
A triangle ABC is transformed by the matrix

to give a straight line. Find the acute angle x in the matrix.
Date posted:
September 16, 2019
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Answers (1)
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Mr.Mutuku earns sh.15,500 p.m .He is housed by his employer and pay a rent of sh.1200 per month for taxation purposes his taxable income is...
(Solved)
Mr.Mutuku earns sh.15,500 p.m .He is housed by his employer and pay a rent of sh.1200 per month for taxation purposes his taxable income is raised by 155.If he gets tax relief of sh.720 per month calculate his P.A.Y.E
Date posted:
September 16, 2019
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Answers (1)
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The probability that a pupil goes to school by a boda-boda is 2/3 and by a matatu is ¼ .If he uses a boda-boda...
(Solved)
The probability that a pupil goes to school by a boda-boda is 2/3 and by a matatu is ¼ .If he uses a boda-boda the probability that he is late to school is 2/5 and if he uses a matatu the probability of being late is 3/10 . If he use other means of transport the probability of being late is 3/20 .
(a) Draw a tree diagram to represent this information.
(b) Find the probability that he will be late for school.
(c) Find the probability that he will be late for school if he does not use a matatu.
(d) What is the probability that he will not be late to school
Date posted:
September 16, 2019
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Answers (1)
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A cattle dip is 150cm wide and 12m long. The depth of the water increases uniformly from a shallow end of 60cm to a maximum...
(Solved)
A cattle dip is 150cm wide and 12m long. The depth of the water increases uniformly from a shallow end of 60cm to a maximum of 6m.
(a)Find the volume of water that can be held by the full dip in litres
(b)If the dip is drained by a pipe of radius 15cm at the rate of 6m/l, how long will it take to drain a full dip?
Date posted:
September 16, 2019
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Answers (1)
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The position vector of A and B are a=4i+4j-6k and b =10i+4j+12k.D is a point on AB such that AD:DB is 2:1.Find the co-ordinates...
(Solved)
The position vector of A and B are a=4i+4j-6k and b =10i+4j+12k.D is a point on AB such that AD:DB is 2:1.
Find the co-ordinates of D.
Date posted:
September 16, 2019
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Answers (1)