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- Given that x-y=3 and 3x+y=17, find without solving for X and Y the value of
(a) 2xy-x2-y2
(b) 6xy+y2+9x2
(c) 3x2-2xy+y2(Solved)
Given that x-y=3 and 3x+y=17, find without solving for X and Y the value of
(a) 2xy-x2-y2
(b) 6xy+y2+9x2
(c) 3x2-2xy+y2
(d)
Date posted: August 15, 2019. Answers (1)
- The diagram below shows a flower vase of depth 18cm. The ratio of the top and bottom diameters is 5:2.(Take pi =3.142).
Calculate
(a) The volume of...(Solved)
The diagram below shows a flower vase of depth 18cm. The ratio of the top and bottom diameters is 5:2.
(Take pi =3.142).
Calculate
(a) The volume of the flower vase.
(b) The curved surface area of the flower vase.
Date posted: August 15, 2019. Answers (1)
- A car accelerates from rest for 10 seconds until it reaches a velocity of 12 metres per second.It then continues at this velocity for the...(Solved)
A car accelerates from rest for 10 seconds until it reaches a velocity of 12 metres per second.It then continues at this velocity for the next 40 seconds after which it brakes and comes to rest until a constant retardation of 1.5 meres per second
(a) Determine
(i) The acceleration over the first 10 seconds.
(ii) The time taken during the retardation
(b) Draw the velocity time graph for the journey and use it to determine.
(i) The total distance covered by the car
(ii) The percentage of the total distance which was covered during the first 15 seconds.
Date posted: August 15, 2019. Answers (1)
- A plane leaves an airport P(100S,620E) and flies due north at 800km/h
(a) Find its position after 2 hrs.
(b) The plane turns and flies at the...(Solved)
A plane leaves an airport P(100S,620E) and flies due north at 800km/h
(a) Find its position after 2 hrs.
(b) The plane turns and flies at the same speed due west. It reaches Q longitude of 120W.
(i) Find the distance it has traveled in nautical miles.
(b) The plane turns and flies at the same speed due west. It reaches Q longitude of 120W.
(i) Find the distance it has traveled in nautical miles.
(ii) Find the time it has taken (Take the radius of the earth to be 6370 km and 1 nautical mile to be 1.853km.
(c) If the local time at P was 1300 hrs when it reached Q, Find the local time at Q when it
landed at Q .
Date posted: August 15, 2019. Answers (1)
- The following figure represent a dancing floor with a carpeted margin all around of wide leaving a dancing space of (x-3)m by (x+3)m
If the...(Solved)
The following figure represent a dancing floor with a carpeted margin all around of 
wide leaving a dancing space of (x-3)m by (x+3)m
If the total area of the entire room is 315m2
(a) Calculate the value of x.
(b) Calculate the area of the carpeted margin.
(c) If the carpet cost sh. 750 per m2,calculate the total cost of the sealed margin.
Date posted: August 15, 2019. Answers (1)
- In the figure below,O is the centre of the circle.PQR is a tangent to the circle at Q. Angle PQS=280,angle UTQ=540 and UT =TQ.
Giving reasons...(Solved)
In the figure below,O is the centre of the circle.PQR is a tangent to the circle at Q. Angle PQS=280,angle UTQ=540 and UT =TQ.
Giving reasons , determine the size of
(a) Angle STQ.
(b) Angle TQU.
(c) Angle TQS
(d) Reflex angle UOQ .
(e) Angle TQR.
Date posted: August 15, 2019. Answers (1)
- A bag contains 5 red , 4 white and 3 blue beads. Two beads are selected at random.
(a) Draw a tree diagram and list the...(Solved)
A bag contains 5 red , 4 white and 3 blue beads. Two beads are selected at random.
(a) Draw a tree diagram and list the probability space.
(b) Find the probability that
(i) The last bead selected is red.
(ii) The beads selected were of the same color
(iii) At least one of the selected beads is blue.
Date posted: August 15, 2019. Answers (1)
- Find the inverse of the matrix below and hence solve the simultaneous equations below it.
2x+y=21
3x+2y=34(Solved)
Find the inverse of the matrix below and hence solve the simultaneous equations below it.
2x+y=21
3x+2y=34
Date posted: August 15, 2019. Answers (1)
- The table below shows marks obtained by a form four class in a certain school.Use the table to represent the information on a histogram.(Solved)
The table below shows marks obtained by a form four class in a certain school.Use the table to represent the information on a histogram.
Date posted: August 15, 2019. Answers (1)
- In Ngamongo village, a piece of work can be completed by 45 workers in 10 days .They worked for 4 days after which 15 workers...(Solved)
In Ngamongo village, a piece of work can be completed by 45 workers in 10 days .They worked for 4 days after which 15 workers were laid off. How many days would it take the remaining workers to complete the work?
Date posted: August 15, 2019. Answers (1)
- Given the curve y= x2-2x+6, find the coordinates of the point on the curve at which the gradient is 4.(Solved)
Given the curve y= x2-2x+6, find the coordinates of the point on the curve at which the gradient is 4.
Date posted: August 14, 2019. Answers (1)
- Solve for t in the equation
9t+1 +32t=30.(Solved)
Solve for t in the equation
9t+1 +32t=30.
Date posted: August 14, 2019. Answers (1)
- Omwando borrows sh. 90,000 for 5 years at 6 ½ % simple interest p.a.What amount does he have to pay at the end of that...(Solved)
Omwando borrows sh. 90,000 for 5 years at 6 ½ % simple interest p.a.What amount does he have to pay at the end of that time?
Date posted: August 14, 2019. Answers (1)
- Odhis car Hire company hires out as follows; sh. 2500 per day and sh. 270 per kilometer covered. They offer a discount of 30km free...(Solved)
Odhis car Hire company hires out as follows; sh. 2500 per day and sh. 270 per kilometer covered. They offer a discount of 30km free each day of hire.Makori hires a car for 5 days and drives for 480km. Calculate the total cost.
Date posted: August 14, 2019. Answers (1)
- Find the value of x in the following figure given that area A =Area B=Area C(Give your answer to 2 decimal places)(Solved)
Find the value of x in the following figure given that area A =Area B=Area C(Give your answer to 2 decimal places)
Date posted: August 14, 2019. Answers (1)
- The diagram below shows a circle with centre P(5,5) and radius 5 units.
(a) Write down in terms of x and y the equation of the...(Solved)
The diagram below shows a circle with centre P(5,5) and radius 5 units
(a) Write down in terms of x and y the equation of the circle in the form ax2+by2+cx+dy+e=0 where a,b,c,d and e are constants.
(b) Determine the gradient of PQ
(c) Find the equation of the tangent at Q in the form ax+by=c.
Date posted: August 14, 2019. Answers (1)
- A positive two digit number is such that the product of the digits is 20.When the digits are reversed,the number so formed is greater than...(Solved)
A positive two digit number is such that the product of the digits is 20.When the digits are reversed,the number so formed is greater than the original number by 9.Find the number.
Date posted: August 14, 2019. Answers (1)
- A train whose length is 60 metres is travelling at 40km/h in the same direction as a bus whose length is 20m.If the speed of...(Solved)
A train whose length is 60 metres is travelling at 40km/h in the same direction as a bus whose length is 20m.If the speed of bus is 80km/h and moving parallel to the train, calculate the time it takes the truck to overtake the train completely in seconds.
Date posted: August 14, 2019. Answers (1)
- If X is a positive integer, find all possible values of x given that(Solved)
If X is a positive integer, find all possible values of x given that
Date posted: August 14, 2019. Answers (1)
- From a point A, the angle of elevation of top of a watch tower is 200.From another point which is 25m from the base of...(Solved)
From a point A, the angle of elevation of top of a watch tower is 200.From another point which is 25m from the base of the tower, the angle of elevation of the top of the tower is 260.Giving your answer to three decimal places, determine the height of the tower and hence calculate the distance between the points A and B if they are both on the same side of the tower and lie on a straight line with the base of the tower.
Date posted: August 14, 2019. Answers (1)