Find the center and radius of the circle x 2 + y 2 + 4x 2y
Question:
Find the center and radius of the circle x2 + y2 + 4x – 2y – 4 = 0. Graph this circle.
Step by Step Answer:
Center 2 1 Rad...View the full answer
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
-
In problem 1-2 find the center and radius of the circle with the given equation. 1. x2 + 2x + 10 + y2 - 6y - 10 = 0 2. x2 + y2 - 6y = 16
-
Find the center and radius of the circle with equations x2 + y2 - 8x + 6y = 0.
-
Find the center and radius of the circle with the given equation. Then sketch the circle. 1. x2 + y2 = 9 2. x2 + y2 = 4 3. (x + 2)2 + y2 = 16 4. x2 + (y 8)2 = 81
-
Select the best response. What trend can be related to a major employer closing a business? Property values falling and people moving from a community. A rise in slips, trips and falls. New...
-
John and Andrew Doney invented a hard-bearing device for balancing rotors. Although they obtained a patent for their invention from the U.S. Patent and Trademark Office, it was never used as an...
-
A change to a 17% flat tax could cause a considerable increase in many taxpayers taxes and a considerable decrease in the case of others. Explain this statement in light of the statistics in Table...
-
If you replaced each of the neurons in your brain one by one with electronic neurons (take on trust for now that electronic neurons are possible), what do you think would be the effect? How would...
-
Steve Caples, a real estate appraiser in Lake Charles, Louisiana, has developed a regression model to help appraise residential housing in the Lake Charles area. The model was developed using...
-
Walsh Company manufactures and sells one product. The following information pertains to each of the company's first two years of operations Variable costs per unit: Manufacturing Direct materials...
-
Assume that all assumptions of the single-index model hold, except that the covariance between residuals is a constant K instead of zero. Derive the covariance between the two securities and the...
-
The Economics in Practice describes the simple Keynesian AS curve as one in which there is a maximum level of output given the constraints of a fixed capital stock and a fixed supply of labor. The...
-
The lines y = 2x 1 and y = ax + 2 are perpendicular if a =.
-
Consider again the soap ordering policy for No Tell Motel in Problem 5. a. Suppose that the weekly demand forecast of 132 boxes is incorrect and actual demand averages only 83 boxes per week. How...
-
The offerors rescinding of an offer that has never been accepted by the offeree. a. acceptance b. counteroffer c. invitation to tra de d. lapse of time e. mailbox r ule f. offeree g. offeror h....
-
The person who makes an offer. a. acceptance b. counteroffer c. invitation to tra de d. lapse of time e. mailbox r ule f. offeree g. offeror h. public of fer i. request f or a pr oposal j. revocation
-
The power to control the actions of another that results from a special or confi dential relationship. a. contract of adhesion b. duress c. fraud d. intentional c oncealment e. misrepresentation f....
-
A mere expression of opinion. a. contract of adhesion b. duress c. fraud d. intentional c oncealment e. misrepresentation f. mistake g. mutual a greement h. puffi ng i. unconscionable contract j....
-
The following graph illustrates the utility functions for both Rashawn and Juliana, who both have the same amount of wealth: a. Based on the graph, who is more risk averse, Rashawn or Juliana? b....
-
Repeat the previous problem but assume that comparable yields are 10 percent. In which case did the price of the stock change? In which case was the price more volatile? Data from previous problem...
-
Eleni Cabinet Company sold 2,200 cabinets during 2011 at $160 per cabinet. Its beginning inventory on January 1 was 130 cabinets at $56. Purchases made during the year were as follows: February . 225...
-
The following frequency distribution represents the cause of death in homicides for the year 2009. Type of Weapon ..................................... Frequency Firearms .. 9146 Knives or cutting...
-
The following frequency distribution represents the number of live births (in thousands) in the United States in 2008 by age of mother. Age of Mother (years) Births (thousands) 1014 6 1519 .. 435...
-
A sample of 100 randomly selected registered voters in the city of Naperville was asked their political afï¬liation: Democrat (D), Republican (R), or Independent (I). The results of the...
-
Larkspur Company sells discounted shoes to the fashion-oriented consumer. The following schedule relates to the company's inventory for the month of March: Cost Sales March 1 Beginning inventory...
-
What is the role of education in promoting social mobility and reducing inequality, and how can educational systems be reformed to better serve diverse populations while preparing individuals for the...
-
A European call option and put option on a non-dividend paying stock both have a strike price of $51 and an expiration date in 6 months. The put sells for $2.50 and the call sells for $2. The...
Study smarter with the SolutionInn App