- A quantity D is directly proportional to Y and inversely proportional to the square of X. if Y is double and X is increased...(Solved)
A quantity D is directly proportional to Y and inversely proportional to the square of X. if Y is double and X is increased by 20%, find the ratio of the new value of D to the original value of D in the form a:b where a and b are integers.
Date posted: September 17, 2019. Answers (1)
- Determine the equation of the tangent to the curve at the point x = 2. (Solved)
Determine the equation of the tangent to the curve 
at the point x = 2.
Date posted: September 17, 2019. Answers (1)
- In the figure above OC is the tangent to the circle. If OE =8cm and OC = 6cm. find EA.(Solved)
In the figure above OC is the tangent to the circle. If OE =8cm and OC = 6cm. find EA.
Date posted: September 17, 2019. Answers (1)
- A is matrix and I is the 2 x 2 identity matrix. Determine the values of h and k for which
A-1...(Solved)
A is matrix 
and I is the 2 x 2 identity matrix. Determine the values of h and k for which
A-1 = hl + kA.
Date posted: September 17, 2019. Answers (1)
- A circle centre is the point C(2,3) passes through a point P(a,b). a point is the mid-point of the line CP.
a)Calculate the coordinates...(Solved)
A circle centre is the point C(2,3) passes through a point P(a,b). a point 
is the mid-point of the line CP.
a)Calculate the coordinates of P.
b)Determine the equation of the circle in the form x2 +y2 +ax + by + c = 0
Date posted: September 17, 2019. Answers (1)
- a) Expand and simplify (2x + y)5
b) Using the first four terms of the expansion to evaluate 6.025(Solved)
a) Expand and simplify (2x + y)5
b) Using the first four terms of the expansion to evaluate 6.025
Date posted: September 17, 2019. Answers (1)
- Evaluate 5 cos2? + 2 = 3sin2? - 2cos ? given that (Solved)
Evaluate 5 cos2θ + 2 = 3sin2θ - 2cos θ given that 
Date posted: September 17, 2019. Answers (1)
- Given that OA=6p – 4q, OB = 20 – 14q and AB = m(2p + 5q), Find the value of m.(Solved)
Given that OA=6p – 4q, OB = 20 – 14q and AB = m(2p + 5q), Find the value of m.
Date posted: September 17, 2019. Answers (1)
- Use a calculator to evaluate and give the answer correct to 5 significant figures. (Solved)
Use a calculator to evaluate 
and give the answer correct to 5 significant figures.
Date posted: September 17, 2019. Answers (1)
- Given the equation y = x2 – 5x +6
a)In the space provided below sketch the graph of the equation y = x2 – 5x +6
b)Write...(Solved)
Given the equation y = x2 – 5x +6
a)In the space provided below sketch the graph of the equation y = x2 – 5x +6
b)Write down the co – ordinates of the Y intercept and X intercept
c)Calculate the area grounded by the curve y = x2 – 5x +6 and the lines x = 0
and x= 4
Date posted: September 17, 2019. Answers (1)
- The frequency distribution of marks of 120 students is given in the table below
Draw an Ogive curve
(Solved)
The frequency distribution of marks of 120 students is given in the table below
Draw an Ogive curve
Date posted: September 17, 2019. Answers (1)
- The table below shows corresponding values of X and Y which are believed to be connected by a relation of the form Y = abx...(Solved)
The table below shows corresponding values of X and Y which are believed to be connected by a relation of the form Y = abx – 10 where a and b are constants.
By drawing an appropriate straight line graph on the grid provided
(i) Find the approximate numerical values of a and b
(ii) Hence establish the particular mathematical equation connecting the variables X and Y
b)By using the equation find the value of Y when X = 4.5 to the nearest Unit
Date posted: September 17, 2019. Answers (1)
- A city x is at (70°S, 90°E) and another city Y is at (70°S, 90° W)
a)Find the distance in nm from city X to City...(Solved)
A city x is at (70°S, 90°E) and another city Y is at (70°S, 90° W)
a)Find the distance in nm from city X to City Y:
i)Along a greet circle
ii) Along a parallel of latitude answer t (4.s .f)
b)A plane left town X speeding west at speed of 400knots
i)How long did it take to reach town Y (Give answer in hours and nearest minutes
ii)If the plane left city X at 8.30 A.M Monday local time, at what time did it reach city Y?
Date posted: September 17, 2019. Answers (1)
- 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. Answers (1)
- Convert the following recurring decimal to a fraction 5.3°17°(Solved)
Convert the following recurring decimal to a fraction 5.3°17°
Date posted: September 17, 2019. Answers (1)
- The figure below shows a solid with the base ABCD being a rectangle. AB = 16cm, BC = 12cm and CE = 20cm
Calculate the angle...(Solved)
The figure below shows a solid with the base ABCD being a rectangle. AB = 16cm, BC = 12cm and CE = 20cm
Calculate the angle between the planes EBD and ABCD.
Date posted: September 17, 2019. Answers (1)
- The Figure below shows a circle with centre o
Determine the co-ordinates of the centre radius of the circle and find the equation of the circle
(Solved)
The Figure below shows a circle with centre o
Determine the co-ordinates of the centre radius of the circle and find the equation of the circle
Date posted: September 17, 2019. Answers (1)
- Factorize a2 –b2 hence find the exact value of 48972 – 47972(Solved)
Factorize a2 –b2 hence find the exact value of 48972 – 47972
Date posted: September 17, 2019. Answers (1)
- 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. Answers (1)
- 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. Answers (1)