Study resources on Kenyaplex

Get ready-made curriculum aligned revision materials

Exam papers, notes, holiday assignments and topical questions – all aligned to the Kenyan curriculum.

Or go directly to:

Class notes Holiday assignments Topical questions Other resources

Lines L1 is given by equation y = -2x +4 and L2 is 3x- y=1 intersect at T. (a) Determine the co-ordinates of T. (b) Another...

Lines L1 is given by equation y = -2x +4 and L2 is 3x- y=1 intersect at T.
(a) Determine the co-ordinates of T.
(b) Another line, L3 is perpendicular to line L2 and passes through point N(5,8).Determine its equation and leave the answer in the form of ax + by=c where a, b, and c are integers.
(c) Determine the equation of a perpendicular bisector of a line segment passing through points T and N.

Answers

Kavungya answered the question on November 19, 2019 at 08:16

Answer Attachments

Next: Three towns PQR are such that Q is 20km in the bearing of 045° from P while R is 27.5 km in the bearing of...

Previous: The figure shows a water tank which consists of a hemispherical part surmounted on top of a cylindrical part. The two parts have the same...

View more Mathematics Questions and Answers | Return to Questions Index

Exams With Marking Schemes

Related Questions

Three towns PQR are such that Q is 20km in the bearing of 045° from P while R is 27.5 km in the bearing of... (Solved)

Three towns PQR are such that Q is 20km in the bearing of 045° from P while R is 27.5 km in the bearing of S20°E from Q.Using the scale of 1cm rep 5km.
(a) Determine the actual distance between P and R.
(b) State the true bearing of P from R.
(c) Show a point x which is equidistant from the three towns.
(d) Determine the actual distance from x to town R.

Date posted: November 19, 2019 . Answers (1)
On a certain map, an estate is represented by an area of 48cm². If the actual area of the estate is 1200Ha, find the scale... (Solved)

On a certain map, an estate is represented by an area of 48cm². If the actual area of the estate is 1200Ha, find the scale of the map in the form 1: n.

Date posted: November 19, 2019 . Answers (1)
The following data was obtained from a Form IV examination results. Complete the table above (Solved)

The following data was obtained from a Form IV examination results.

Complete the table above

Date posted: November 19, 2019 . Answers (1)
A Kenyan family intended to spent a holiday in France where Ksh 90,000 was exchanged into Francs. Currency conversation rate is as follows KES ... (Solved)

A Kenyan family intended to spent a holiday in France where Ksh 90,000 was exchanged into Francs.
Currency conversation rate is as follows
KES Buying (Francs) Selling (Francs)
Ksh 100 53.50 55.75
The family spent 37, 0000 Franc and changed the rest into Kenya shillings. How much did the holiday cost?

Date posted: November 19, 2019 . Answers (1)
Using tables of reciprocals evaluate (Solved)

Using tables of reciprocals evaluate

Date posted: November 19, 2019 . Answers (1)
Given that tan (90-x) = 3/4 without using calculators or tables, Find: (i) Sin x (ii) Cos (90 – x) (Solved)

Given that tan (90-x) = 3/4 without using calculators or tables,
Find: (i) Sin x
(ii) Cos (90 – x)

Date posted: November 19, 2019 . Answers (1)
A variable y varies partly as x and partly inversely as x. Given that y=17 when x=4 and y=13 when x=6, Determine; (a) the law connecting... (Solved)

A variable y varies partly as x and partly inversely as x. Given that y=17 when x=4 and y=13 when x=6, Determine;
(a) the law connecting y and x.
(b) the value of y when x=10

Date posted: November 19, 2019 . Answers (1)
The diagram below shows a region R bounded by 3 lines L1, L2 and L3 Determine the 3 inequalities satisfied by the region marked R. (Solved)

The diagram below shows a region R bounded by 3 lines L1, L2 and L3

Determine the 3 inequalities satisfied by the region marked R.

Date posted: November 19, 2019 . Answers (1)
James left sh 430,500 to be shared by his wife, daughter and son in the ratio of 2:1:3 respectively. His wife decided to divide her... (Solved)

James left sh 430,500 to be shared by his wife, daughter and son in the ratio of 2:1:3 respectively. His wife decided to divide her share equally between her daughter and son. Find how much the daughter finally got.

Date posted: November 19, 2019 . Answers (1)
Last year, Onyango was four times as old as his son, in four years time, the sum of their ages will be 53. Determine their... (Solved)

Last year, Onyango was four times as old as his son, in four years time, the sum of their ages will be 53. Determine their present ages.

Date posted: November 19, 2019 . Answers (1)
Without using mathematical tables or a calculator, evaluate: (Solved)

Without using mathematical tables or a calculator, evaluate:

Date posted: November 19, 2019 . Answers (1)
Three numbers are such that m²n³k = 360. Find m, n, and k. (Solved)

Three numbers are such that m²n³k = 360. Find m, n, and k.

Date posted: November 19, 2019 . Answers (1)
A body starts from rest and after t seconds its velocity in ms^-1 was recorded as shown below; Use the trapezoidal rule to estimate the distance... (Solved)

A body starts from rest and after t seconds its velocity in ms^-1 was recorded as shown below;

Use the trapezoidal rule to estimate the distance covered by the body between 1 and 6 seconds.

Date posted: November 19, 2019 . Answers (1)
Agotho has a rectangular plot that was measured to the nearest meter and found to be 80m in length and 60m in width. Determine the... (Solved)

Agotho has a rectangular plot that was measured to the nearest meter and found to be 80m in length and 60m in width. Determine the percentage error in its perimeter.

Date posted: November 19, 2019 . Answers (1)
Solve for x given that the following is a singular matrix (Solved)

Solve for x given that the following is a singular matrix

Date posted: November 19, 2019 . Answers (1)
Evaluate without using Mathematical tables or a calculator. 2log5 - 1/2 log16 + 2 log40 (Solved)

Evaluate without using Mathematical tables or a calculator.
2log5 - 1/2 log16 + 2 log40

Date posted: November 19, 2019 . Answers (1)
The region R in the figure below is defined by the inequalities L1, L2 and L3. Find the three inequalities. (Solved)

The region R in the figure below is defined by the inequalities L1, L2 and L3.

Find the three inequalities.

Date posted: November 19, 2019 . Answers (1)
A regular polygon has internal angle of 150⁰ and side of length 10cm. (a) Find the number of sides of the polygon. (b) Find the perimeter... (Solved)

A regular polygon has internal angle of 150⁰ and side of length 10cm.
(a) Find the number of sides of the polygon.
(b) Find the perimeter of the polygon.

Date posted: November 19, 2019 . Answers (1)
Without using a calculator evaluate (Solved)

Without using a calculator evaluate

Date posted: November 19, 2019 . Answers (1)
a) Complete the table below for the following function y = x³ - 3x² - 5x + 7 b) On the grid provided draw the graph... (Solved)

a) Complete the table below for the following function y = x³ − 3x² − 5x + 7

b) On the grid provided draw the graph of y = x³ − 3x² − 5x + 7 for −3 ≤ 𝑥 ≥ 5. (Use 2cm to represent 1 unit on the x- axis and 1 cm to represent 5 units on the y-axis).
c) Use the graph to solve the equation x³ − 3x² − 5x + 7 = 0
d) By drawing a suitable line, use the graph in (b) to solve the equation x³ − 3x² − 10x + 17 = 0.

Date posted: November 19, 2019 . Answers (1)