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- Two matrices A and B are such that A=$\begin{bmatrix}k&4\\3&2\\ \end{bmatrix}$ and B= $\begin{bmatrix}1&2\\3&4\\ \end{bmatrix}$. Given that the determinant of AB=4,find the value of k.
Two matrices A and B are such that A=$\begin{bmatrix}k&4\\3&2\\ \end{bmatrix}$ and B= $\begin{bmatrix}1&2\\3&4\\ \end{bmatrix}$. Given that the determinant of AB=4,find the value of k.
Date posted: February 21, 2019
- The sum of the first n terms of the sequence 3,9,15,21…is 7500. Find the value of n
The sum of the first n terms of the sequence 3,9,15,21…is 7500. Find the value of n.
Date posted: February 21, 2019
- In shooting practice three soldiers A,B and C aim at target.The probabilities of A,B and C hitting the target are
In shooting practice three soldiers A,B and C aim at target.The probabilities of A,B and C hitting the target are $\frac{1}{3}$, $\frac{1}{4}$ and $\frac{1}{2}$ respectively.If each soldier shot at the target only once,one after the other. What is the probability that the target was hit only once?
Date posted: February 21, 2019
- Given that the ratio x:y =2:3,find the ratio (5x-2y):(x+y)
Given that the ratio x:y =2:3,find the ratio (5x-2y):(x+y).
Date posted: February 21, 2019
- Use differentiation to find x coordinate of the maximum point for the curve. Y=x3+2x2-4x-8
Use differentiation to find x coordinate of the maximum point for the curve.
Y=x3+2x2-4x-8
Date posted: February 21, 2019
- The point A(5,2) undergoes the transformation $\begin{bmatrix}3&2\\-1&0\\ \end{bmatrix}$ followed by a translation $\begin{pmatrix}-6\\11\\ \end{pmatrix}$.Determine the coordinates of the image.
The point A(5,2) undergoes the transformation $\begin{bmatrix}3&2\\-1&0\\ \end{bmatrix}$ followed by a translation $\begin{pmatrix}-6\\11\\ \end{pmatrix}$.Determine the coordinates of the image.
Date posted: February 23, 2019
- A salesman sold a new motor cycle at sh.24,000.The depreciation rate was 5% per annum
A salesman sold a new motor cycle at sh.24,000.The depreciation rate was 5% per annum.What was the value of the motor cycle after 3 years?
Date posted: February 23, 2019
- An aeroplane flew due south from appoint A(60oN,45oE),to a point B.The distance covered by the aeroplane was 8000km. Determine the position of B.
An aeroplane flew due south from appoint A(60oN,45oE),to a point B.The distance covered by the aeroplane was 8000km.Determine the position of B.
Date posted: February 23, 2019
- Solve for x: 9x+32x-1=53
Solve for x: 9x+32x-1=53
Date posted: February 23, 2019
- Three businessmen Makokha,Njau and Odhiambo contributed a total of sh 120,000 to start a business
Three businessmen Makokha,Njau and Odhiambo contributed a total of sh 120,000 to start a business.The ratio of the contributions of Makokha to Njau was 2:3 and that of Njau to Odhiambo was 2:5. How much did Odhiambo contribute?
Date posted: February 23, 2019
- In 14 years time,a mother will be twice as old as her son. Four years ago the sum of their ages was 30 years.
In 14 years time,a mother will be twice as old as her son.Four years ago the sum of their ages was 30 years. Find how old the mother was when the son was born.
Date posted: February 23, 2019
- Use the prime factors of 1764 and 2744 to evaluate
Use the prime factors of 1764 and 2744 to evaluate $\frac {\sqrt 1764}{3\sqrt 2754}$
Date posted: February 23, 2019
- Evaluate; $\frac{-8+(-5 )x(-8)-(-6)}{-3+(-8):2 x 4}$
Evaluate; $\frac{-8+(-5 )x(-8)-(-6)}{-3+(-8):2 x 4}$
Date posted: February 23, 2019
- Solve the following
Solve; $\frac{1}{4x} = \frac{5}{6x} - 7$
Date posted: February 23, 2019
- Solve for x in : 4x+1=32
Solve for x in : 4x+1=32
Date posted: February 23, 2019
- The points A’(3,2) and B’(4,-1) are the images of A and B under a translation. Given that the coordinates of A are (0,1)
The points A’(3,2) and B’(4,-1) are the images of A and B under a translation.Given that the coordinates of A are (0,1), find the coordinates of B.
Date posted: February 23, 2019
- A minor arc of a circle subtends an angle of 105 degrees at the center of the circle
A minor arc of a circle subtends an angle of 105 degrees at the center of the circle.If the radius of the circle is 8.4 cm,find the length of the major arc.
Date posted: February 23, 2019
- Given that sin (x+60)0= cos 2x0.find the value of x
Given that sin (x+60)0= cos 2x0.find the value of x
Date posted: February 23, 2019
- Given the following, find b
Given $a=\begin{pmatrix}4\\3\\ \end{pmatrix}$ , $c=\begin{pmatrix}-2\\-5\\ \end{pmatrix}$ and
3a -2b +4c = $\begin{pmatrix}10\\-19\\ \end{pmatrix}$, find b
Date posted: February 23, 2019
- Simplify the following
Simplify $\frac{3}{3 - \sqrt 7}$
Date posted: February 23, 2019