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- (a) Expand and simplify (3 -x)5 up to the fourth term
(b) Use the expansion above to estimate the value of (2.98)5 correct to 3d.p(Solved)
(a) Expand and simplify (3 −x)5 up to the fourth term
(b) Use the expansion above to estimate the value of (2.98)5 correct to 3d.p
Date posted: November 18, 2019. Answers (1)
- Given that vectors OA= -8i + 2j and OB=6i + 4j and that T divides AB in the ratio 5:3, find TB in terms of...(Solved)
Given that vectors OA= −8i + 2j and OB=6i + 4j and that T divides AB in the ratio 5:3, find TB in terms of i and j.
Date posted: November 18, 2019. Answers (1)
- Solve 2 Cos2x - 2 Sin x=1 for the interval 0= x = 3600.(Solved)
Solve 2 Cos2x − 2 Sin x=1 for the interval 0≤ x ≤ 3600.
Date posted: November 18, 2019. Answers (1)
- Three quantities A, m and n are such that A varies directly as m and inversely as the square root of n.
When m=6 and n=16...(Solved)
Three quantities A, m and n are such that A varies directly as m and inversely as the square root of n.
When m=6 and n=16 A=14. Express A in term of m and n.
Date posted: November 18, 2019. Answers (1)
- The image of a point P under the transformation represented by the matrix
is P1(6,3) find the co-ordinates of P.(Solved)
The image of a point P under the transformation represented by the matrix 
is P1(6,3) find the co−ordinates of P.
Date posted: November 18, 2019. Answers (1)
- Find the radius and the co-ordinates of the centre of the circle whose equation is
4x2 + 4y2 -12x + 16y=11.(Solved)
Find the radius and the co−ordinates of the centre of the circle whose equation is
4x2 + 4y2 −12x + 16y=11.
Date posted: November 18, 2019. Answers (1)
- Cherop's farm is in the shape of a trapezium ABCD shown below. A borehole is to be drilled in the farm such that it is...(Solved)
Cherop's farm is in the shape of a trapezium ABCD shown below. A borehole is to be drilled in the farm such that it is closer to AB than to side AD and closer to corner C than to corner D. Shade the region of all points where the borehole can be drilled.
Date posted: November 18, 2019. Answers (1)
- Without using a calculator or mathematical tables simplify(Solved)
Without using a calculator or mathematical tables simplify
Date posted: November 18, 2019. Answers (1)
- Given that the column vectors
(a) Express a as column vector and hence calculate its magnitude.
(b) Given that the midpoints of PQ is (-3,1) and Q(7,5),...(Solved)
Given that the column vectors
(a) Express a as column vector and hence calculate its magnitude.
(b) Given that the midpoints of PQ is (−3,1) and Q(7,5), obtain the co−ordinates of P.
(c) A translation T(2 1) maps triangle ABC onto triangle A′B′C′. Given the co–ordinates A(2,3), B(2,5) and C(4,4). Find the co-ordinates of A′B′C′.
Date posted: November 18, 2019. Answers (1)
- The figure below shows a circle of radius 8cm centre O. B is a point on the circumference such that 0
(a) Find the size of
(i)...(Solved)
The figure below shows a circle of radius 8cm centre O. B is a point on the circumference such that 0
(a) Find the size of
(i) (ii)(b) Calculate the length of OF
(c) Find the area of the major segment EDC.
Date posted: November 18, 2019. Answers (1)
- Given that log 5=0.6990 and log 7=0.8451, find log 24.5(Solved)
Given that log 5=0.6990 and log 7=0.8451, find log 24.5
Date posted: November 18, 2019. Answers (1)
- Njoki earns a basic salary of sh 11,800 per month. She is also paid commissions as follow:
...(Solved)
Njoki earns a basic salary of sh 11,800 per month. She is also paid commissions as follow:
Commissions
For sales up to sh100,000 0%
For sales above sh.100,000
(i) For the first sh50,000 2.5%
(ii) For the next sh50,000 3.5%
For amount above sh200,000 5%
In a certain month, she sold goods worth sh.328,000. Find her total earnings that month.
Date posted: November 18, 2019. Answers (1)
- The position vectors of P,Q and R are
Show that P, Q and R are collinear.(Solved)
The position vectors of P,Q and R are 
Show that P, Q and R are collinear.
Date posted: November 18, 2019. Answers (1)
- The diagram below show a circle centre O and the radius OA=5cm. Line AB is a tangent of the circle at A and its length...(Solved)
The diagram below show a circle centre O and the radius OA=5cm. Line AB is a tangent of the circle at A and its length is 12cm. Find the area of the shaded region.
Date posted: November 18, 2019. Answers (1)
- Given that Sin(x +200) = -0.6776 find x, for 00 = x = 3600(Solved)
Given that Sin(x +200) = −0.6776 find x, for 00 ≤ x ≤ 3600
Date posted: November 18, 2019. Answers (1)
- Solve the following simultaneous equations
x + y = 3
6y -xy = 70(Solved)
Solve the following simultaneous equations
x + y = 3
6y −xy = 70
Date posted: November 18, 2019. Answers (1)
- A line with a gradient of -1/5 passes through the points (t,-5) and (3, t).
(a) Find the value of t.
(b) Express the equation of the...(Solved)
A line with a gradient of -1/5 passes through the points (t,−5) and (3, t).
(a) Find the value of t.
(b) Express the equation of the line in the form ax +by = c where a, b and c are constants.
Date posted: November 18, 2019. Answers (1)
- Use the table of reciprocals and squares to find(Solved)
Use the table of reciprocals and squares to find
Date posted: November 18, 2019. Answers (1)
- Determine the inequalities that define the unshaded region in the diagram below.(Solved)
Determine the inequalities that define the unshaded region in the diagram below.
Date posted: November 18, 2019. Answers (1)
- The area of a rhombus is 49cm2 and each side is 10cm long. Calculate the acute angle of the rhombus.
(give your answer to 1 d.p)(Solved)
The area of a rhombus is 49cm2 and each side is 10cm long. Calculate the acute angle of the rhombus.
(give your answer to 1 d.p)
Date posted: November 18, 2019. Answers (1)