The circle C has centre (5, 2) and radius 5. The points X (1, 1), Y (10,

Question:

The circle C has centre (5, 2) and radius 5. The points X (1, −1), Y (10, 2) and Z (8, k) lie on the circle, where k is a positive integer.

a. Write down the equation of the circle.

b. Calculate the value of k.

c. Show that cos ∠XYZ = √2/10

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For answer-question

Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

ISBN: 9781292183398

1st Edition

Authors: Greg Attwood

See More Books

Question Posted: Jul 16, 2023 12:22 AM

See More Questions

The outer loop controls the number of students. Note that the inner loop of this program is always executed exactly three times, once for each day of the long weekend. Modify the code so that the...
The capstone assignment for BUS 460, Business Strategy, along with the assignments in this course are designed to demonstrate that students have achieved the learning outcomes established for the...
Barsuk Company began the year with stockholders' equity of $108,000. During the year, Barsuk issued stock for $147,000, recorded expenses of $420,000, and paid dividends of $28,000. If Barsuk's...
In Exercises find a power series for the function, centered at c and determine the interval of convergence. f(x) 2 6 - x' C = -2
On December 31, 2014, Fawzi Company prepared an income statement and balance sheet and failed to take into account four adjusting entries. The income statement, prepared on this incorrect basis,...
The shaft has an outer diameter of 100 mm and an inner diameter of 80 mm. If it is subjected to the three torques, plot the shear stress distribution along a radial line for the cross section within...
Refer to the information in Exercise 17-4. Required 1. Compute a departmental overhead rate for the molding department based on machine hours and a department overhead rate for the trimming...
Determining Cash Balance The controller for Weinstein Co. is attempting to determine the amount of cash and cash equivalents to be reported on its December 31, 2010, balance sheet. The following...
If your car gets 25 miles per gallon, how much does it cost to drive 420 miles when gasoline costs $2.50 per gallon? The cost is $ (Simplify your answer. Round to the nearest cent as needed.)
In the diagram, WX(vector) = a, WY(vector) = b and WZ(vector) = c. It is given that XY(vector) = YZ(vector). Prove that a + c = 2b. X a b W Y Z
The triangle ABC has vertices A(2, 4), B(6, 10) and C(16, 10). a. Prove that ABC is an isosceles triangle. b. Calculate the size of ABC .
Why do economic forecasters pay special attention to investment plans? Take a look at the Conference Boards index of leading economic indicators at http://www.conference-board.org/. Which of those...
Why arent the things on my app for assignments showing up when i go to the internet log in page on my computer?
Brady owns a second home that he rents to others. During the year, he used the second home for 50 days for personal use and for 100 days for rental use. Brady collected $20,100 of rental receipts...
If x0 = 0, Ax=-72, where Ax is the displacement vector, determine the final position xf. Write only the sign and the magnitude of the vector, you do not have to write the unit vector. That is, if the...
Compare the idea of what it means to be human using the film, ''About Time'' and comparing that idea against another example from another work of art (painting, photography, poem, literature, film,...
Final Term Paper (based on case studies and scenarios) Please prepare a presentation based on a case study involving major professional practice and ethics violations. The case study can be one of...
Is it unusual that the b-subunits of DNA polymerase III that form a sliding clamp along the DNA do not contain the active site for the polymerization reaction? Explain your answer.
A. Select a recent issue (paper or online) of Report on Business Magazine, Canadian Business Magazine (online only), Bloomberg Businessweek, Fast Company, The Economist, or another business magazine....
If the number of children per family is decreasing is it because families are postponing the start of a family? a. Conduct a test to determine if the age at which families have their first child has...
With a declining birth rate and increasing longevity most countries are aging. The consequences are serious. Aging societies mean that there will be fewer taxpayers supporting an increasing...
Do you need more education (EDUC) to be self-employed (WRKSLF: 1 = Self-employed, 2 = Someone else)? a. Conduct a test to answer the question. b. Are the required conditions satisfied?
Throughout the calendar year 2 0 2 3 , Swifty Corporation has 4 2 2 , 0 0 0 common shares outstanding ( no preferred shares issued ) . In addition, Swifty has 7 , 2 0 0 , 2 0 - year, 9 % bonds...
Consider the following credit card activity for the month of August: Date Balance Number of Days August 1 $ 2 8 1 6 August 7 $ 3 9 8 7 August 1 4 $ 4 7 4 8 August 2 2 $ 5 7 2 1 0 Compute the ADB....
Crane Company has four operating divisions. During the first quarter of 2 0 2 2 , the company reported aggregate income from operations of $ 1 9 4 , 0 0 0 and the following divisional results....

The circle C has centre (5, 2) and radius 5. The points X (1, 1), Y (10,

Question:

Step by Step Answer:

a To write down the equation of the circle we can use the general equation for a circle x h2 y k2 r2 Where h k represents the center of the circle and ...View the full answer

Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

Students also viewed these Mathematics questions