The points A(2, 6), B(5, 7) and C(8, 2) lie on a circle. a. Show that AC

Question:

The points A(2, 6), B(5, 7) and C(8, −2) lie on a circle.

a. Show that AC is a diameter of the circle.

b. Write down an equation for the circle.

c. Find the area of the triangle ABC.

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 14, 2023 11:52 PM

See More Questions

A drinks can has radius r=32mm, thickness t=0.1mm and is made from a 6061 aluminium alloy of shear stresses are present. (a) Write down an equation for the stresses in the cylindrical wall of the...
Write down an equation for the reaction of secondary butyl alcohol with Chromic Anhydride Reagent.
Write down an equation for the reaction of n-butyl alcohol with Chromic Anhydride Reagent. (The reagent = CrO3 + H2SO4)
Jason is unhappy with the performance of his mutual fund. He sells his shares in the current fund and repurchases shares in a similar fund with the same firm. This transaction may not be a taxable...
Fresh Cut Corporation purchased all the outstanding common stock of Premium Meats for $ 12,000,000 in cash. The book values and fair values of Premium Meats assets and liabilities were: Required: 1....
Find the probability of getting 3 or more episodes of otitis media in the first 2 years of life. Otolaryngology Assume the number of episodes per year of otitis media, a common disease of the middle...
Two residents of California filed a lawsuit against Hertz Corporation on behalf of a group of people arguing that the companys labor practices were illegal. The corporation was labeling workers as...
Various Changes in PrincipleInventory Methods Below is the net income of Benchley Instrument Co., a private corporation, computed under the three inventory methods using a periodic system. FIFO...
thank you I've been having lots of troubles opening any documents in full they just appear as blank would you know why this is or perhaps be able to assist me
Burnside Marketing Research conducted a study for Barker Foods on some designs for a new dry cereal. Three attributes were found to be most influential in determining which cereal had the best taste:...
Show that (0, 0) lies inside the circle (x 5) 2 + (y + 2) 2 = 30.
The point P(1, 2) lies on the circle centre (4, 6). a. Find the equation of the circle. b. Find the equation of the tangent to the circle at P.
What would happen to the value of the 10-year bond over time if the required rate of return remained at 13 percent, or if it remained at 7 percent?
4. Find the entire solution for the following system: y[n] = 0.9y[n-1]+x[n] h[n] = (0.9)" u[n] x[n] = u[n] y[-1] = 1 5. Find the values a and for the following y[n] = 0.8y[n-1]+x[n] h[n] = (0.8)"...
Could you explain the principles of protein folding kinetics and thermodynamics, and their implications in protein misfolding diseases?
For Taylor Corporation, the working capital at the end of the current year is $10,000 more than the working capital at the end of the preceding year, reported as follows: Year 2 Year 1 Current...
Calculate the total interest expense on a $248,000 operating loan borrowed on February 1 at a 10% annual interest rate with repayments projected as $100,000 on August 1, $48,000 on September 1, and...
How do tertiary and quaternary structures influence the functionality and stability of proteins at a molecular level?
A culture is a societys personality. If your culture were a person, how would you describe its personality traits?
Suppose that the electrical potential at the point (x, y, z) is E(x, y, z) = x + y - 2z. What is the direction of the acceleration at the point (1,3,2)?
Determine whether the underlined value is a parameter or a statistic. 1. Following the 2014 national midterm election, 18% of the governors of the 50 United States were female. 2. The average score...
A farmer interested in the weight of his soybean crop randomly samples 100 plants and weighs the soybeans on each plant? A research objective is presented. For each, identify the population and...
Every year the U.S. Census Bureau releases the Current Population Report based on a survey of 50,000 households. The goal of this report is to learn the demographic characteristics, such as income,...
What was their depreciation expense for 2 0 2 3 ? What were the current ratios for Both 2 0 2 2 and 2 0 2 3 ? Was their current ratio for year 2 0 2 3 better or worse compared to 2 0 2 2 ? What was...
You must evaluate a proposal to buy a new milling machine. The purchase price of the milling machine, including shipping and installation costs, is $142,000, and the equipment will be fully...
Code the correct SQL statements to change the Emp_LastName from "Smith" to "Thomas" for the Emp_ID 5432 Code the correct SQL statements to COUNT all of the employees in department 12345 Code the...

The points A(2, 6), B(5, 7) and C(8, 2) lie on a circle. a. Show that AC

Question:

Step by Step Answer:

a To show that AC is a diameter of the circle we need to prove that the midpoint of AC is the center ...View the full answer

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

Students also viewed these Mathematics questions