Given three distinct points on a circle (x 1 , y 1 ), (x 2 , y

Question:

Given three distinct points on a circle (x₁, y₁), (x₂, y₂), and (x₃, y₃), we can find the equation of the circle by using the following 4 x 4 determinant equation.

Find the equation of the circle through the given points.

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

Step by Step Answer:

Related Book For book-img-for-question

College Algebra With Modeling And Visualization

ISBN: 9780134418049

6th Edition

Authors: Gary Rockswold

See More Books

Question Posted: Jun 13, 2023 07:15 AM

See More Questions

Find the equation of the circle x2 + y2 + Dx + Ey + F = 0 that passes through the points. To verify your result, use a graphing utility to plot the points and graph the circle. (2, 1) 1 2 3 4 (5, 2)...
A department store conducted an experiment to investigate the effects of advertising expenditures on the weekly sales for its men's wear, children's wear, and women's wear departments. Five weeks for...
The idea is to get an equation from the vanishing of the determinant of a homogeneous linear system as the condition for a nontrivial solution in Cramers theorem. We explain the trick for obtaining...
Recall the rural medical clinics in Example 8.3 and suppose that each community were required to be 25 miles at most from the nearest clinic. How many clinics would be needed, and what would their...
Why is the theory of charisma described as a double-edge sword?
What measures might exporters consider to hedge themselves against anti-dumping accusations?
What should the literature review do?
Suppose that we modify the model of the firm's investment behavior by assuming that any capital the firm has remaining at the end of the period can be sold at the price p'K (in our model we assumed...
Assume the dividend in the next period is $10, the market rate is 12%, and the grow rate is projected at 4%. What is the current value of a share of stock?
Use the elimination method to solve each system of linear equations, if possible. Identify the system as consistent or inconsistent. 3x + 3y = 15 -x - = -4
For the given matrices A and B find each of the following. (a) A + B (b) B + A (c) A-B 2 3 12 B = 5 T 121
The air temperature on a clear night is observed to remain at about 4C. Yet water is reported to have frozen that night due to radiation effect. Taking the convection heat transfer coefficient to be...
A certain random process $U(t)$ takes on equally probable values +1 or 0 with changes occurring randomly in time. The probability that $n$ changes occur in time $\tau$ is known to be \[...
The focal points of the two converging lenses shown in Figure P33.121 are denoted by solid dots for the left lens and open dots for the right lens. Draw a simplified ray diagram to locate the final...
Suppose that country A has 9,000 worker hours available for production and that it initially has the technology given by case 3 of Exercise 1. Derive its PPF and determine its exact dimensions. data...
The table shows experimental values of the variables x and y. The variables are known to be related by the equation y = a e nx where a and n are constants. a. Draw the graph of ln y against x. b....
Construct the Nyquist diagram for a single-degree-of-freedom system with hysteretic damping.
Using the data in Table 12.5, do the following: (a) Determine the flexural strength for nonporous MgO, assuming a value of 3.75 for n in Equation 12.10. (b) Compute the volume fraction porosity at...
Before the 1973 oil embargo and subsequent increases in the price of crude oil, gasoline usage in the United States had grown at a seasonally adjusted rate of 0.57 percent per month, with a standard...
In Exercise 5-31, the monthly demand for MMR vaccine was assumed to be approximately normally distributed with a mean and standard deviation of 1.1 and 0.3 million doses, respectively. Suppose that...
The rate of return of an asset is the change in price divided by the initial price (denoted as r ). Suppose that $10,000 is used to purchase shares in three stocks with rates of returns X 1 ,X 2 ,X 3...
The total net electricity consumption of the United States by year from 1980 to 2007 (in billion kilowatt-hours) is in Table 6E.12. Net consumption excludes the energy consumed by the generating...
i need help in B and C Integrative Case 5-72 (Algo) Cost Estimation, CVP Analysis, and Decision Making (LO 5-4.5.9) Luke Corporation produces a variety of products, each within their own division....
Relate PSA (Public Securities Association) speed to the average life of a MBS. Describe the PSA measure and discuss which MBS would have the greater average life, one with a PSA of 100 or one with a...
Which of the following statement about swaps is least accurate? A. In a plain vanilla interest rate swap, the notional principal is swapped. B. The default problem [i.e. default risk] is the most...

Given three distinct points on a circle (x 1 , y 1 ), (x 2 , y

Question:

det x² + + y² +y₁² x₂² + 1/₂² 2 X3² + y3² X1 y₁ 1 X2 2 1 X3 Y3 1 0 =

Step by Step Answer:

x y y 1 0 0 0 1 16 4 ...View the full answer

College Algebra With Modeling And Visualization

Students also viewed these Mathematics questions