The distance formula, midpoint formula, and center radius form of the equation of a circle are closely
Question:
The distance formula, midpoint formula, and center radius form of the equation of a circle are closely related in the following problem.
A circle has a diameter with endpoints (-1, 3) and (5, -9). Find the center-radius form of the equation of this circle.
Using the center found in Exercise 53 and the radius found in Exercises 54–56, give the center-radius form of the equation of the circle.
Step by Step Answer:
The centerradi...View the full answer
College Algebra
ISBN: 978-0134697024
12th edition
Authors: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Related Video
The area of a circle is given by the formula: A = ?r^2 Where A is the area, ? is a mathematical constant (approximately 3.14), and r is the radius of the circle. The radius is the distance from the center of the circle to the edge. So for example, if the radius of a circle is 5 units, the area would be: A = ?(5^2) = ?(25) = 78.5 square units Here three friends went out to a restaurant and decided to have pizza for lunch. While they were waiting for their order, one of them stepped out to take a call but promised to return in two minutes. The waiter came and presented them with the menu, and they decided to order two 10-inch pepperoni pizzas. The waiter took their order and left. Just then, the third friend returned and asked what they had ordered. They explained that they had ordered two small pepperoni pizzas as they were only three of them and it would be enough for them. However, the third friend suggested that for the same price, they could get a large pizza that would be much bigger than the two small ones. He asked the waiter for a pen and paper and proceeded to calculate the area of the two small pizzas and compared it to the area of one large pizza. The friends were amazed at how the circle measurements worked and decided to change their order from two small pizzas to one large pizza.
Students also viewed these Mathematics questions
-
8. Find the standard form of the equation for a hyperbola with foci (5, -8) and (-3,-8) and vertices (4, -8) and (-2, -8). Sketch its graph. Find the standard form of the equation for a hyperbola...
-
Which form of the equation of a line do you prefer to use? Justify your position with an example that shows that your choice is better than another. Have reasons.
-
Find an equation for a circle with center (-5, 2) and radius of length 13.
-
When developing cost functions, which of the following statements is FALSE? A. Personal observations of costs and activities provide the best evidence of a plausible relationship between a cost and...
-
In an attempt to save costs, routine tasks such as audit work related to bank reconciliations are being off shored to cheaper locations such as India. For instance, the Big 4 Firms in Canada, the...
-
Draw a digital system that is synthesized from the Verilog program in Listing Q3. module Top_Q3(En, Ck, a, b, c, d, e, g, h, S, Z); input En, Ck. a, b, c, d, e, g. S; input [1:0]h; 1: 2: 3: 4: 5: 6:...
-
Should we resign ourselves to the continued growth of the gig economy or fight for the right to full-time labor with benefits to and protections for workers? In Ghost Work: How to Stop Silicon Valley...
-
The following information is available to reconcile Branch Companys book balance of cash with its bank statement cash balance as of July 31, 2015. a. On July 31, the companys Cash account has a...
-
2. (30 points) Here is an SML mergesort program: fun merge ([], ys) = ys | merge (xs, []) = xs merge (x::xs, y::ys) = if xy then x::merge (xs, y::ys) else y::merge (x::xs, ys) = ([], []) fun split []...
-
Jones Corporation switched from the LIFO method of costing inventories to the FIFO method at the beginning of 20X1. The LIFO inventory at the end of 20X0 would have been $80,000 higher using FIFO....
-
Let (x) = 2x - 3 and g(x) = -x + 3. ( g)(4)
-
For each equation, (a) give a table with at least three ordered pairs that are solutions, and (b) graph the equation. y = Vx - 3
-
A \(2.0-\mathrm{m}-\) long slab of concrete is supported by rollers, as shown in Figure P7.54. If the slab is pushed to the right, it will move off the supporting rollers, one by one, on the left...
-
What did Adam Smith mean when he wrote, Seldom do businessmen of the same trade get together but that it results in some detriment to the general public?
-
True or false? It is obvious that all for-profit businesses in the United States will maximize profit. Why?
-
Some economists have compared managers to politicians. a. How do the incentives facing managers resemble those of politicians? b. How do they differ? c. What does your answer say about the relative...
-
Say that you are bidding in a sealed-bid auction and that you really want the item being auctioned. Winning it would be worth $250 to you. Say you expect the nexthighest bidder to bid $100. a. In a...
-
Are managers and high-level company officials paid high salaries because theyre worth it to the firm, or because theyre simply extracting profit from the company to give to themselves? How would you...
-
The cost function for Acme Laundry is C(q) = 10 + 10q + q 2 , where q is tons of laundry cleaned. What q should the firm choose to maximize its profit if the market price is p? How much does it...
-
A parking lot charges $3 for the first hour (or part of an hour) and $2 for each succeeding hour (or part), up to a daily maximum of $10. (a) Sketch a graph of the cost of parking at this lot as a...
-
Solve the equation and check your answer. 3.x - 1 5 - 2 = 3
-
Solve the inequality symbolically. Express the solution set in set-builder or interval notation. 3/x+6
-
Match each piecewise-defined function with its graph in choices a-d at the top of next column. ) = {} -x x k(x) = if x < 0 if x 0
-
Find f'(x) and find the equation of the line tangent to the graph of f at x = 1. f(x)=(1+4x)(5-4x) f'(x)=
-
Find f'(x) and find the equation of the line tangent to the graph of f at x = 3. f(x)= 5x 2* f'(x)=
-
The total sales of S (in thousands of DVD's) of a certain movie are given by the following formula where t is the number of months since the release of the DVD. Use the formula to answer the...
Study smarter with the SolutionInn App