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- A circle of radius 7 units has it’s centre at the point of intersection between the lines x + 2y + 1 = 0 and...(Solved)
A circle of radius 7 units has it’s centre at the point of intersection between the lines x + 2y + 1 = 0 and 2x + 3y – 3 = 0. Find the equation of the circle expressing it in the form x² + y² + yx + fy + c = 0.
Date posted: August 20, 2019. Answers (1)
- Use the tables of squares, square roots and reciprocals only to find the value of(Solved)
Use the tables of squares, square roots and reciprocals only to find the value of
Date posted: August 20, 2019. Answers (1)
- Represent the solution on a number line.(Solved)
Solve the inequalities 
hence represent the solution on a number line.
Date posted: August 20, 2019. Answers (1)
- Show that the points P(3, 4), Q(4, 3) and R(1, 6) are collinear.(Solved)
Show that the points P(3, 4), Q(4, 3) and R(1, 6) are collinear.
Date posted: August 20, 2019. Answers (1)
- Jecinta made a profit of 25% by selling a pair of shoes at kshs 1500. What percentage profit would she
have made if she sold the...(Solved)
Jecinta made a profit of 25% by selling a pair of shoes at kshs 1500. What percentage profit would she
have made if she sold the same of shoes at 1600?
Date posted: August 20, 2019. Answers (1)
- The mean of five numbers is 20. The mean of the first three numbers is 16.(Solved)
The mean of five numbers is 20. The mean of the first three numbers is 16. The fifth number is greater than the fourth by 8. Find the fifth number.
Date posted: August 20, 2019. Answers (1)
- If a = 3.2 cm b = 5.6 cm and c = 2.4cm. Find the percentage error in evaluating.
( a+ c) – b(Solved)
If a = 3.2 cm b = 5.6 cm and c = 2.4cm. Find the percentage error in evaluating.
( a+ c) – b
Date posted: August 20, 2019. Answers (1)
- Find the values of a, b and c.(Solved)
Given that 
Find the values of a, b and c.
Date posted: August 20, 2019. Answers (1)
- A form four class has 13 girls and 7 boys. The mean mark for the 13 girls is 48% while the mean mark for the...(Solved)
A form four class has 13 girls and 7 boys. The mean mark for the 13 girls is 48% while the mean mark for the whole class is 41%. Calculate the mean mark for the 7 boys.
Date posted: August 20, 2019. Answers (1)
- Solve the equation 2x² + 3x = 5 by completing the square method.(Solved)
Solve the equation 2x² + 3x = 5 by completing the square method.
Date posted: August 20, 2019. Answers (1)
- Given that 5x = 7y, find the ratio x : y(Solved)
Given that 5x = 7y, find the ratio x : y
Date posted: August 20, 2019. Answers (1)
- Find the possible values of x in the equation 9x2 = 27(2x+ 12)(Solved)
Find the possible values of x in the equation 9x2 = 27(2x+ 12)
Date posted: August 20, 2019. Answers (1)
- A car traveling at 104km/hr is 297m behind another car traveling at 71km/hr in the same direction. How long does it take the faster car...(Solved)
A car traveling at 104km/hr is 297m behind another car traveling at 71km/hr in the same direction. How long does it take the faster car to overtake the slower one?.
Date posted: August 20, 2019. Answers (1)
- The equation of line AB in the figure below is y = 3x + 5 and A is the point (0, a).(Solved)
The equation of line AB in the figure below is y = 3x + 5 and A is the point (0, a). Line PQ is parallel to AB and AP = 7 units.
(i) Find the value of a.
(ii) Write down the equation of PQ.
Date posted: August 20, 2019. Answers (1)
- Evaluate:(Solved)
Evaluate:
Date posted: August 20, 2019. Answers (1)
- In the figure below EFGH is a rhombus and DEF is a quilaterial triangle. Calculate ?HDG giventhat ?HED = 20o(Solved)
In the figure below EFGH is a rhombus and DEF is a quilaterial triangle. Calculate ?HDG given that ?HED = 20o
Date posted: August 19, 2019. Answers (1)
- Use tables of square, square roots and reciprocals to evaluate. Showing every step in your working.(Solved)
Use tables of square, square roots and reciprocals to evaluate. Showing every step in your working.
Date posted: August 19, 2019. Answers (1)
- A parallelogram OACB is such that OA = a, OB = b.(Solved)
A parallelogram OACB is such that OA = a, OB = b. D is the mid point of BC OE = hOC and AE = kAD.
(a) Express the following in terms of a, b, h and k.
(i) OC
(ii) OE
(iii) AD
(iv) AE
(b) Find the values of h and k.
(c) Determine the ratios:
(i) AE : ED
(ii) OE : OC
Date posted: August 19, 2019. Answers (1)
- (a) Complete the table below for the function y = -4 – 6x + 3x2 + 2x3.(Solved)
(a) Complete the table below for the function y = -4 – 6x + 3x2 + 2x3.
(b) Draw the graph of y = -4 – 6x + 3x2 + 2x3 for values for x from -4 to 2.
(c) Use your graph to solve.
(i) 2x3 + 3x3 – 4x – 2 = 0
(ii) 4x3 + 6x3 - 12x – 8 = 0
Date posted: August 19, 2019. Answers (1)
- The velocity of a particle t seconds after passing a fixed point O, is given by V = at2 + bt m/s, where a and...(Solved)
The velocity of a particle t seconds after passing a fixed point O, is given by V = at2 + bt m/s, where a and b are constants. Given that its velocity is 2 m/s when t = 1 sec and it returns to 0 when t = 4.5 secs, calculate;
(a) The values of a and b.
(b) Hence find;
(i) The values of t when the particle is instantaneously at rest.
(ii) The total distance traveled by the particle during the first 4 seconds
(iii) The maximum velocity attained by the particle
Date posted: August 19, 2019. Answers (1)