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Solve the equation;
(Solved)
Solve the equation;
Log (x2-8x+20) = Log 4 + Log (x-4)
Date posted:
September 20, 2019
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Answers (1)
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Rationalize the following leaving your answer in the simplified surd form.
(Solved)
Rationalize the following leaving your answer in the simplified surd form.

Date posted:
September 20, 2019
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Answers (1)
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Give that x= 4 is a root of x2+kx-20=0. Find the value of k and thus other roots
(Solved)
Give that x= 4 is a root of x2+kx-20=0. Find the value of k and thus other roots
Date posted:
September 20, 2019
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Answers (1)
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Copy and complete the table below for the function y=4+5x-x2 for -2=x=7
(Solved)
Copy and complete the table below for the function y=4+5x-x2 for -2≤x≤7

Date posted:
September 20, 2019
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Answers (1)
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A supermarket is stocked with plates which come from two suppliers A and B. They are bought in the ratio of 3:5 respectively, 10% of...
(Solved)
A supermarket is stocked with plates which come from two suppliers A and B. They are bought in the ratio of 3:5 respectively, 10% of plates from A are defective and 6% of the plates from B are defective.
(a) A plate is chosen by a buyer at random. Find the probability that;
(i) it is from A
(ii) it is from B and it is defective.
(iii) it is defective
(b) Two plates are chosen at random. Find the probability that:
(i) both are defective
(ii) at least one is not defective.
Date posted:
September 20, 2019
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Answers (1)
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The points X and Y are both on latitude 39oN. The longitude of X is 73oW and the longitude of Y is 18oW . Two...
(Solved)
The points X and Y are both on latitude 39oN. The longitude of X is 73oW and the longitude of Y is 18oW . Two ships P and Q leave X at the same time and travel to Y along the line of latitude. The ships P and Q travel at constant speeds of 25km/hr and 20km/h respectively. Taking the radius of the earth to be 6371km and π= 22/7 ;Calculate:-
(a) The distance Q still has to travel when P reaches Y.
(b) At the same time a third ship R leaves Y traveling due west at an average speed of 15km/hr.
Calculate the longitude of the point at which R meets P.
Date posted:
September 20, 2019
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Answers (1)
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In a square PQRS, A is the mid-point of PQ and B is the mid-point of QR, while C is a point on BP such...
(Solved)
In a square PQRS, A is the mid-point of PQ and B is the mid-point of QR, while C is a point on BP such that 2BC = 3CP. The co-ordinates of P, Q and S are (4,4), (14,4) and (4,14) respectively. Find:
(a) (i) the column vectors of PQ and PS.
(ii) co-ordinates of R
(b) Show that A, C, S are collinear.
Date posted:
September 20, 2019
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Answers (1)
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Find the equation of the tangent to the circle x2+y2-8x+2y+7=0 at the point (3, 2). Give your answer in the form y=ax+b.
(Solved)
Find the equation of the tangent to the circle x2+y2-8x+2y+7=0 at the point (3, 2). Give your answer in the form y=ax+b.
Date posted:
September 19, 2019
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Answers (1)
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Without using mathematical tables and calculators simplify:
(Solved)
Without using mathematical tables and calculators simplify:

Date posted:
September 19, 2019
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Answers (1)
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Use matrix method to solve simultaneous equations.
3x + 7y = 11
x – y + 4 = 0
(Solved)
Use matrix method to solve simultaneous equations.
3x + 7y = 11
x – y + 4 = 0
Date posted:
September 19, 2019
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Answers (1)
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The distance between Sotik and Nakuru is 130km. car x starts from Sotik at 8.00 a.m and travels at 40km/hr towards Nakuru. A second car...
(Solved)
The distance between Sotik and Nakuru is 130km. car x starts from Sotik at 8.00 a.m and travels at 40km/hr towards Nakuru. A second car y starts traveling from Nakuru at 8.15 a.m towards Sotik at an average speed of 35km/hr. At what time will the two cars meet?
Date posted:
September 19, 2019
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Answers (1)
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A variable P varies as the square of Q and inversely as square root of R. Find the percentage change in P when Q is...
(Solved)
A variable P varies as the square of Q and inversely as square root of R. Find the percentage change in P when Q is increased by 5% and R reduced by 19%.
Date posted:
September 19, 2019
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Answers (1)
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Make C the subject of the formula.
(Solved)
Make C the subject of the formula.

Date posted:
September 19, 2019
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Answers (1)
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(a) Expand and simplify the expression (10+2/x)5
(b) Use the expression in (a) above to find the value of 145.
(Solved)
(a) Expand and simplify the expression (10+2/x)5
(b) Use the expression in (a) above to find the value of 145.
Date posted:
September 19, 2019
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Answers (1)
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The table below is part of tax table for monthly income for the year 2010.
Monthly taxable income in Ksh. Tax rate % in...
(Solved)
The table below is part of tax table for monthly income for the year 2010.
Monthly taxable income in Ksh. Tax rate % in each sh.
Under Ksh. 9681 10%
From Ksh. 9681 but under 18801 15%
From Ksh. 18801 but under Kshs.27921 20%
In the year 2010, the tax on Koech’s monthly income was Ksh.1916. Calculate Koech’s monthly income.
Date posted:
September 19, 2019
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Answers (1)
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Evaluate:
(Solved)
Evaluate:

Date posted:
September 19, 2019
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Answers (1)
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The two variable P and Q are connected by Q=K(ap) and the table of values of P and Q is given below.
(a) Write the equation...
(Solved)
The two variable P and Q are connected by Q=K(ap) and the table of values of P and Q is given below.

(a) Write the equation Q=K(ap) in the form y = mx + c.
(b) Draw the linear graph.
(c) Find the value of a and k.
(d) Write the equation connecting Q and p.
Date posted:
September 19, 2019
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Answers (1)
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In the figure below O is the centre of the circle and PTQ is the tangent at T. If PT=ST and angle SRT=52o. Determine the...
(Solved)
In the figure below O is the centre of the circle and PTQ is the tangent at T. If PT=ST and angle SRT=52o. Determine the size of the angles below giving reasons:

(a) PTS
(b) RTQ
(c) TSR
(d) TQR
(e) PSQ
Date posted:
September 19, 2019
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Answers (1)
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Find the number of terms in the series
a+3a+9a+……………….+243a .
(Solved)
Find the number of terms in the series
a+3a+9a+……………….+243a .
Date posted:
September 19, 2019
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Answers (1)
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Evaluate using logarithms.
(Solved)
Evaluate using logarithms.

Date posted:
September 19, 2019
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Answers (1)