x + y = 0 + 2x – y = 6
= 3x = 6
x = 2
x + y = 0
2x + y = 0
y = -2
x = 2
y = -2
Kavungya answered the question on November 12, 2019 at 09:25
- The figure below shows a solid wedge PQRSTU. Complete the solid showing all the hidden edges with dotted lines.(Solved)
The figure below shows a solid wedge PQRSTU. Complete the solid showing all the hidden edges with dotted lines.
Date posted: November 12, 2019. Answers (1)
- A Kenyan bank buys and sells foreign currency as shown in the table below.
A tourist arrived in Kenya with 15000 pounds which he converted into...(Solved)
A Kenyan bank buys and sells foreign currency as shown in the table below.
A tourist arrived in Kenya with 15000 pounds which he converted into Ksh at a commission of 8%.
He later used half of the money before changing the balance into dollars at no commission. Calculate
to the nearest dollar the amount he received.
Date posted: November 12, 2019. Answers (1)
- The sum of two numbers is 23 and their difference is 3. Find the sum of the squares of the two numbers.(Solved)
The sum of two numbers is 23 and their difference is 3. Find the sum of the squares of the two numbers.
Date posted: November 12, 2019. Answers (1)
- Simplify(Solved)
Simplify 
Date posted: November 12, 2019. Answers (1)
- The length of three wires are 36m, 48m and 72m. pieces of wire of equal lengths were cut from the three wires, calculate the least...(Solved)
The length of three wires are 36m, 48m and 72m. pieces of wire of equal lengths were cut from the three wires, calculate the least number of pieces obtained.
Date posted: November 12, 2019. Answers (1)
- Calculate the value of using factor notation.(Solved)
Calculate the value of 
using factor notation.
Date posted: November 12, 2019. Answers (1)
- Evaluate leaving your answer in simplified form(Solved)
Evaluate leaving your answer in simplified form
Date posted: November 12, 2019. Answers (1)
- (a) Using a ruler and a pair of compasses only. Construct triangle ABC in which AB = 5cm, BC = 4.5cm and BAC = 600
(b)...(Solved)
(a) Using a ruler and a pair of compasses only. Construct triangle ABC in which AB = 5cm, BC = 4.5cm and BAC = 600
(b) On the same side of AB as C:
(i) Determine the locus of a point P such that ∠APB=600
(ii) Construct the locus R such that AR ˃ 2cm
(iii) Determine the region T such that ACT ≥ BCT
Date posted: November 12, 2019. Answers (1)
- Two baskets X and Y contain identical balls except for the colors. Basket X contains 6 red balls and 3 black balls. Basket Y contains...(Solved)
Two baskets X and Y contain identical balls except for the colors. Basket X contains 6 red balls and 3 black balls. Basket Y contains 2 red balls and 3 black balls.
(a) If a ball is drawn at random from each basket, find the probability that both balls are of the same color.
(b) If two balls are drawn at random from each basket, one ball at a time without replacement, find the probability that:-
(i) The two balls drawn from basket X or basket Y are red.
(ii) All the four balls drawn are red.
Date posted: November 12, 2019. Answers (1)
- Mrs. Beth wants to buy a flat screen television set on hire purchase. The cash price is Kshs. 28,000. She can pay the cash price...(Solved)
Mrs. Beth wants to buy a flat screen television set on hire purchase. The cash price is Kshs. 28,000. She can pay the cash price or make a down payment of Kshs. 8,000 and 15 monthly instalments of Kshs. 2,000 each. Calculate the rate of compound interest charged per month.
Date posted: November 12, 2019. Answers (1)
- Under a transformation whose matrix y = a triangle whose area is 13.5cm2 is mapped on the triangle whose area is 54cm2. Find two...(Solved)
Under a transformation whose matrix y = 
a triangle whose area is 13.5cm2 is mapped on the triangle whose area is 54cm2. Find two possible values of x.
Date posted: November 12, 2019. Answers (1)
- Make r the subject in the formula:(Solved)
Make r the subject in the formula:
Date posted: November 12, 2019. Answers (1)
- Evaluate without using mathematical tables or calculators:
2 Log105 – ½ Log1016 + 2 Log1040(Solved)
Evaluate without using mathematical tables or calculators:
2 Log105 – ½ Log1016 + 2 Log1040
Date posted: November 12, 2019. Answers (1)
- Use logarithm table to evaluate:(Solved)
Use logarithm table to evaluate:
Date posted: November 12, 2019. Answers (1)
- (a) Fill the table below to 2 d.p for the curves given by y = 3 sin (2? + 30°) and y = Cos 2?...(Solved)
(a) Fill the table below to 2 d.p for the curves given by y = 3 sin (2χ + 30°) and y = Cos 2χ for χ values in the range O ≤ χ ≤ 180°.
(b) Draw the graphs of y = 3 Sin (2χ + 30°) and y= Cos 2χ on same axes.
Date posted: November 11, 2019. Answers (1)
- The displacement, s metres of a moving particle from a point O, after t seconds is given by,
s= t3-5t2+3t +10.
(a) Find s when t= 2...(Solved)
The displacement, s metres of a moving particle from a point O, after t seconds is given by,
s= t3-5t2+3t +10.
(a) Find s when t= 2
(b) Determine:
(i) the velocity of the particle when t= 5 seconds;
(ii) the value of t when the particle is momentarily at rest
(c) Find the time, when the velocity of the particle is maximum.
Date posted: November 11, 2019. Answers (1)
- Points A,B,C and D are situated on a horizontal plane such that B is 200m on a bearing of 065° from
A.C is 300m on a...(Solved)
Points A,B,C and D are situated on a horizontal plane such that B is 200m on a bearing of 065° from
A.C is 300m on a bearing of 120° from B and D is 150m due west of C. Using 1cm to rep 50m,
(a) Draw an accurate scale drawing representing positions ABC and D.
(b) From your drawing, Measure the distance and bearing of
(i) D from A.
(ii) B from D
(c) By construction, show the shortest distance from B to line AD.
Date posted: November 11, 2019. Answers (1)
- The figure below shows a sector of a circle. If the radius OA = 14cm and the angle AOB =720.
(a) Calculate the area of the...(Solved)
The figure below shows a sector of a circle. If the radius OA = 14cm and the angle AOB =720.
(a) Calculate the area of the sector.
(b) The sector is folded to form a cone. Calculate:-
(i) The radius of the cone formed.
(ii) The volume of the solid formed.
(c) A solid cone of same size in (b) above is melted down and casted into circular washers. Each washer
has an external diameter of 4cm, internal diameter of 1½ cm and 0.3cm thick. Calculate number of washers made.
Date posted: November 11, 2019. Answers (1)
- The table below shows the marks scored by form four students in a mathematical test.
(a) State the modal class.
(b) Calculate the mean mark.
(c) Calculate...(Solved)
The table below shows the marks scored by form four students in a mathematical test.
(a) State the modal class.
(b) Calculate the mean mark.
(c) Calculate the 70th mark.
(d) Draw a histogram to represent this information.
Date posted: November 11, 2019. Answers (1)
- A group of choir members decided to raise 3600/= to buy a guitar. Each member was to contribute equal amount. In the preparation process five...(Solved)
A group of choir members decided to raise 3600/= to buy a guitar. Each member was to contribute equal amount. In the preparation process five members transferred to another church, that meant the remaining contributors had to pay more to achieve the target.
(a) Show that the increase in the contribution per member was:
Sh. 18,000/n(n-5) if n is the initial number of members.
(b) If the increase in the contribution per member was sh. 24, what was the original contribution before
the other members left?
(c) Calculate the percentage increase in the contribution before the others left.
Date posted: November 11, 2019. Answers (1)