The circles with equations x + y + 6x 10y = 26 and x + y
Question:
The circles with equations x² + y² + 6x − 10y = 26 and x² + y² − 12x + 4y = k are congruent.
a) Determine the value of k.
b) Calculate the distance between their centres.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 75% (4 reviews)
a Two circles are congruent if and only if their radii are equal We can express the equations ...View the full answer
Answered By
Rodrigo Louie Rey
I started tutoring in college and have been doing it for about eight years now. I enjoy it because I love to help others learn and expand their understanding of the world. I thoroughly enjoy the "ah-ha" moments that my students have. Interests I enjoy hiking, kayaking, and spending time with my family and friends. Ideal Study Location I prefer to tutor in a quiet place so that my students can focus on what they are learning.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Complete Pure Mathematics 1 For Cambridge International AS & A Level
ISBN: 9780198427438
2nd Edition
Authors: Jean Linsky, Brian Western, James Nicholson
Question Posted:
Students also viewed these Mathematics questions
-
Find the distance between the centers of the circles with equations x2 - 2x + y2 + 2y = 2 and x2 + 6x + y2 - 4y = - 7
-
Alice is a software project manager working in a company that develops alarm systems. This company wishes to enter the growing market of assistive technology to help elderly and disabled people live...
-
Congruent circles A and B are tangent at point C. The radius of each circle is 3 units. Rays RU and ST are tangent at U and S, respectively, and intersect at T. Find ST.
-
Climate-change concerns are resulting in investment in fuels that dont produce greenhouse gases. Although solar and wind power garner a lot of attention, nuclear power from uranium is also a...
-
Are you more likely to be satised with your automobile purchase when it is new or used? The following data represent the level of satisfaction of the buyer for both new and used cars. (a) How many...
-
Determine the magnitude and direction of the resultant F R = F 1 + F 2 + F 3 of the three forces by the first finding the resultant F? = F 1 + F 2 and then forming F R = F? + F 3 . F= 30 N Fz= 50 N...
-
An L-2 steel link in a forging machine is pin connected to the forks at its ends as shown. Determine the maximum load \(P\) it can carry without buckling. Use a factor of safety with respect to...
-
Neil Corporation has three projects under consideration. The cash flows for each project are shown in the following table. The firm has a 16% cost of capital. a. Calculate each project's payback...
-
Determine (a) the $ net markdown and (b) the net markdown % from the following figures: Gross Sales $450,000 Customer Returns $10,000 Total Markdowns $124,800 Markdown Cancellation. $32,400
-
Database includes 2 years worth of actual data and one year of budget data for a retail business with 2 locations. In 2017, there was just one location, North. In January 2018, a new location, South,...
-
A line has equation 4x + y + k = 0 and a curve has equation y = kx + 3, where k is a constant. a) Find the two values of k for which the line is a tangent to the curve. b) Find the equation of the...
-
A circle with centre C has equation x + y 6x + 2y + 5 = 0. a) Find the coordinates of C and the radius of the circle. b) A(5, 2) lies on the circle. Find the equation of the tangent to the circle at...
-
Hearty Soup Co. uses a process cost system to record the costs of processing soup, which requires the cooking and filling processes. Materials are entered from the cooking process at the beginning of...
-
In an emergency, a defendant is expected to act __________ or can be found to be liable for their actions.
-
What are the duties of a tenant?
-
True Or False In determining whether a defendant acted reasonably, the jury must consider the situation from the defendants perspective and state of mind.
-
True Or False In evaluating a defendants conduct, a jury is allowed the benefit of information the defendant did not have at the time they acted.
-
Under the _______________ _______________ rule a defendant must take their plaintiff as they find them.
-
What is a fuel? What are the fossil fuels?
-
1. Using the information from Problem 16-4B, prepare a statement of cash flows for Lim Garden Supplies Inc. using the direct method of presenting cash flows from operating activities. 2. How does Lim...
-
The age of a person is commonly considered to be a continuous random variable. Could it be considered a discrete random variable instead? Explain.
-
Explain why it would be unlikely to use a designed experiment to answer the research question posed in Example 3?
-
The American Cancer Society is beginning a study to learn why some people never get cancer. To take part in the study, a person must be 3065 years of age and never had cancer. The study requires that...
-
How would the amount of fuel required to send a spacecraft from Earth to the Moon compare with the amount needed to send the same spacecraft from the Moon back to Earth. Explain. (Numerical values...
-
A company's production process depends on a supply of a special component. Demand for the component is shown in the table below: MONTH 1 1 unit MONTH 2 2 units MONTH 3 1 unit MONTH 4 4 units The...
-
A piece of ice with a mass of 65g is transferred directly from the freezer at a temperature of -8C to a polystyrene containing 220g of water at 75C Calculate the final temperature of the water ....
Study smarter with the SolutionInn App