Find the radius and centre of a circle whose equation is x² + 4x + y² – 8y + 11 = 0.

Answers

Kavungya answered the question on November 5, 2019 at 08:51

Next: State the amplitude and the phase angle of the curve
Previous: The mass in kilograms of 9 sheep in a pen were 13, 8, 16, 17, 19, 20, 15, 14 and 11. Determine the quartile deviation of...

View More Mathematics Questions and Answers | Return to Questions Index

Exams With Marking Schemes

Related Questions

State the amplitude and the phase angle of the curve (Solved)
State the amplitude and the phase angle of the curve

Date posted: November 5, 2019. Answers (1)
A DVD player whose cash price is sh. 15000 is bought on hire purchase by paying a deposit of sh 3000 and 12 monthly installments...(Solved)
A DVD player whose cash price is sh. 15000 is bought on hire purchase by paying a deposit of sh 3000 and 12 monthly installments of sh. 1250 each. Calculate the rate of interest per annum.

Date posted: November 5, 2019. Answers (1)
a) Expand (1 -2x)⁴ b) Use the first four terms of your expansion to find the value of (0.99)⁴(Solved)
a) Expand (1 -2x)⁴
b) Use the first four terms of your expansion to find the value of (0.99)⁴

Date posted: November 5, 2019. Answers (1)
The distance s metres of an object varies partly with time t seconds and partly with square root of time. Given that s = 16...(Solved)
The distance s metres of an object varies partly with time t seconds and partly with square root of time. Given that s = 16 when t = 4 and s = 48 when t = 16. Write an equation connecting s and t.

Date posted: November 5, 2019. Answers (1)

Construct rectangle ABCD in which AB = 4cm and BC = 3cm. Inside the rectangle construct the locus of point L₁ which is 3 cm...(Solved)
Construct rectangle ABCD in which AB = 4cm and BC = 3cm. Inside the rectangle construct the locus of point L₁ which is 3 cm from A; Locus of L₂ which is equidistant from line AB and AD and locus of point L₃ which is 2cm from line AB.

Date posted: November 5, 2019. Answers (1)
The dimensions of a rectangle are measured and given as 6.9 cm by 3.06 cm, Calculate to 4 s.f. the percentage error in the area.(Solved)
The dimensions of a rectangle are measured and given as 6.9 cm by 3.06 cm,
Calculate to 4 s.f. the percentage error in the area.

Date posted: November 5, 2019. Answers (1)
The equation of a curve is given as y = x³ – 3x + 2. Determine a) the value of y when x = 2 b) the...(Solved)
The equation of a curve is given as y = x³ – 3x + 2.
Determine
a) the value of y when x = 2
b) the gradient of the curve at x = 3.
c) the turning points of the curve and their nature.

Date posted: November 5, 2019. Answers (1)
The table below gives some of the values of x and y for the function y = 1/2x² + 2x + 1 in the interval...(Solved)
The table below gives some of the values of x and y for the function y = 1/2x² + 2x + 1 in the interval 0 ≤ x ≤ 6

a) Use the values in the table to draw the graph of the function on the grid provided.
b) i) Using the graph and the mid-ordinate rule with six (6) strips, estimate the area bounded by the
curve, the x – axis, the y- axis and the line x = 6.
ii) If the exact area of the region described in (b) (i) is 78cm²; calculate the percentage error
made when the mid-ordinate rule is used.

Date posted: November 5, 2019. Answers (1)

a) Given that the matrix find A^-1, the inverse of A. b) Kariuki bought 400 goats and 600 sheep for a total of Kshs 1.7m....(Solved)
a) Given that the matrix find A^-1, the inverse of A.
b) Kariuki bought 400 goats and 600 sheep for a total of Kshs 1.7m. Maina bought 180 goats and 240 sheep for a total of Kshs 720,000. If the price of a goat is sh. X and that of a sheep is shs y,
i) Form two equations to represent the above information.
ii) Use the matrix A^-1 to find the price of one goat and one sheep.
c) John bought 450 goats and 720 sheep. He was given a total discount of shs 66,600.

Date posted: November 5, 2019. Answers (1)
In the figure below OA = a, OB = b, OA : AE = 2 : 3 and OB : OC = 1 : 2 a)...(Solved)
In the figure below OA = a, OB = b, OA : AE = 2 : 3 and OB : OC = 1 : 2

a) Express AC and BE in terms of a and b
i) AC
ii) BE
b) If DC = kAC and BD = mBE where k and m are scalars.
By expressing DC in two ways, determine the values of k and m.
c) Find the ratio of BD : DE

Date posted: November 5, 2019. Answers (1)
A house is to be sold either on a cash basis or through a loan. The cash price is Kshs. 750,000. The loan conditions are...(Solved)
A house is to be sold either on a cash basis or through a loan. The cash price is Kshs. 750,000. The loan conditions are as follows: there is to be a down payment of 10% of the cash price and the rest of the money to be paid through a loan of 10% per annum compound interest.
A customer decided to buy the house through a loan.
a) i) Calculate the amount of money loaned to the customer.
ii) The customer paid the loan in 3 years.
Calculate the total amount paid for the house.
b) Find how long the customer would have taken to fully pay for the house if she paid a total of Kshs 891,750.

Date posted: November 5, 2019. Answers (1)
A cylindrical water tank is of diameter 7 metres and height 2.8 metres. a) Find the capacity of the water tank in litres. b) Six members...(Solved)
A cylindrical water tank is of diameter 7 metres and height 2.8 metres.
a) Find the capacity of the water tank in litres.
b) Six members of a family use 15 litres each per day. Each day 80 litres are used for cooking and washing and a further 60 litres are wasted.
Find the number of complete days a full tank of water would last the family.
c) members of the family were absent for 90 days. During the 90 days, wastage was reduced by 20% but cooking and washing remained the same. Calculate the number of days a full tank would now last the family.

Date posted: November 5, 2019. Answers (1)
Divide line AB such that AP = 2/5 AB(Solved)
Divide line AB such that AP = 2/5 AB

Date posted: November 5, 2019. Answers (1)
Use the matrix method to find the co-ordinates of the points of intersection of the line 3x - 4y = 1 and y + 7x =...(Solved)
Use the matrix method to find the co-ordinates of the points of intersection of the line
3x - 4y = 1 and y + 7x = 23

Date posted: November 5, 2019. Answers (1)
In the figure below the lines AB and CD are parallel. AD and CB intersect at X. AB = 6cm, CD = 9cm and DX...(Solved)
In the figure below the lines AB and CD are parallel. AD and CB intersect at X. AB = 6cm, CD = 9cm and DX = 3 cm.

a) Calculate the length of AX.
b) The area of ΔABX is 6cm². Calculate the area of ΔCXD.

Date posted: November 5, 2019. Answers (1)
Without using a calculator evaluate(Solved)
Without using a calculator evaluate

Date posted: November 5, 2019. Answers (1)
A line L is perpendicular to the line Given that L passes through (3, 10). Find the a) Gradient of L b) Equation of L in...(Solved)
A line L is perpendicular to the line Given that L passes through (3, 10).
Find the
a) Gradient of L
b) Equation of L in form of y = mx + c where m and c are constants.

Date posted: November 5, 2019. Answers (1)
Find the value of(Solved)
Find the value of

Date posted: November 5, 2019. Answers (1)
Simplify the expression(Solved)
Simplify the expression

Date posted: November 5, 2019. Answers (1)
Find all the integers satisfying the inequalities. 3 - 2x < x - 3 = 4(Solved)
Find all the integers satisfying the inequalities.
3 - 2x < x - 3 ≤ 4

Date posted: November 5, 2019. Answers (1)