Find the center and radius of the circle with the given equation. Then sketch the circle. 1.
Question:
1. x2 + y2 = 9
2. x2 + y2 = 4
3. (x + 2)2 + y2 = 16
4. x2 + (y − 8)2 = 81
Step by Step Answer:
1 x 2 y 2 9 Center 0 0 Radius 3 2 ...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 Calculus questions
-
Find the center and radius of the circle with equations x2 + y2 - 8x + 6y = 0.
-
Find the center and radius of the circle x 2 + y 2 + 4x 2y 4 = 0. Graph this circle.
-
Find the center and radius of the circle x 2 + 4x + y 2 - 2y -4 = 0. Graph the circle.
-
One major concern about the future is that water scarcity will grow, particularly in arid regions where precipitation levels may be reduced by climate change. Will our institutions provide for an...
-
Using the loan and payment plan developed in Problem 4-40 determine the month that the final payment is due, and the amount of the final payment, if $500 is paid for payment 8 and $280 is paid for...
-
What is one thing that could cause the production possibilities frontier in your economy to shift inward?
-
For the process \(\mathrm{CO}_{2}(\mathrm{~s}) ightarrow \mathrm{CO}_{2}(\mathrm{~g})\) (a) Both \(H\) and \(S\) are \(+\mathrm{ve}\) (b) Both \(H\) and \(S\) are - ve (c) \(H\) is + ve and \(S\) is...
-
Glenn refuses an invitation to become a partner of Dorothy and Cynthia in a retail grocery business. Nevertheless, Dorothy inserts an advertisement in the local newspaper representing Glenn as their...
-
Alex has contributed $2393 every 3 months for the last 9 years into an RRSP fund. The interest earned by these deposits was 8% compounded quarterly for the first 4 years and 7% compounded quarterly...
-
Can you use movie critics opinions to forecast box office receipts on the opening weekend? The following data, stored in Tomatometer , indicate the Tomatometer rating, the percentage of professional...
-
1. Explain why it is essential to check your solutions to radical, absolute value, and rational equations? 2. Describe the error below |11x + 4| 2 26 11x + 4 < 26 or 11x + 4 11x s 22 > 26 11x 2 22
-
Write the standard form of the equation of the circle for which the endpoints of a diameter are (0, 0) and (4, 6)?
-
The individual elements and the elements of the people as a whole of the traditional balance represent what goals of the judiciary?
-
What are some of the social effects of violence in the media? Has research proven a conclusive link between violence in the media and violence in society?
-
Interview Questions: 1.What is your greatest strength? 2. What is your biggest weakness? 3. Tell me about a time when you made sure a customer was pleased with your service. 4. Give me an example of...
-
What can/should people do to protect their culture from outside cultural messages that threaten them?
-
Imagine you are about to launch a new social cause campaign. In this campaign, you will try to educate others about the inequality of Men and Women now days. Also, as part of this campaign, you will...
-
1. Choose three Cultural Values and explain them in your own words, keeping customer service in mind. 2. Give your own example of the negative impact (Impact on Service) each can have on service....
-
Data for Munsun Company are presented in P12.3A. Instructions Prepare the operating activities section of the statement of cash flows using the direct method. Data From P12.3A The income statement of...
-
What are the risks and liability factors in an audit? What are the implications to the auditor? What are the implications to the organization? How can the auditor mitigate these risks and liability...
-
Another measure of position is called the midquartile. You can find the midquartile of a data set by using the formula below. Midquartile = Q1 + Q3 / 2 In Exercises 54, find the midquartile of the...
-
Side-by-side box-and-whisker plots can be used to compare two or more different data sets. Each box-and-whisker plot is drawn on the same number line to compare the data sets more easily. The lengths...
-
The credit card purchases (rounded to the nearest dollar) over the last three months for you and a friend are listed. Use technology to draw side-by-side box-and-whisker plots that represent the data...
-
https://youtu.be/-D2pIBKeHd4 1) List 4 characteristics of a good leader. Please give a specific example for each. 2) What stood out about Mr. Behar's comments and explain why. 3) Give an example of a...
-
1. The PREA survey focuses on three areas: financial performance, productivity and management practices. This survey seems to focus on improving operations from a management perspective. If you could...
-
Part 1: The Program Explain in detail: The program you identified within your specialization area(My specialization is Special Education)that is in need of evaluation. Be sure to include the purpose...
Study smarter with the SolutionInn App