The line with equation y = kx intersects the circle with equation x 2 10x +
Question:
The line with equation y = kx intersects the circle with equation x2 − 10x + y2 − 12y + 57 = 0 at two distinct points. Find a range of possible values of k. Round your answer to 2 decimal places.
a. Show that 21k2 − 60k + 32 < 0.
b. Hence determine the range of possible values for k.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (3 reviews)
To find the range of possible values of k we need to determine the conditions under which the line i...View the full answer
Answered By
User l_917591
As a Business Management graduate from Moi University, I had the opportunity to work as a tutor for undergraduate students in the same field. This experience allowed me to apply the theoretical knowledge I had gained in a practical setting, while also honing my teaching and communication skills.
As a tutor, I was responsible for conducting tutorial sessions, grading assignments and exams, and providing feedback and support to my students. I also assisted with the preparation of course materials and collaborated with other tutors and professors to ensure consistency in teaching and assessment.
0.00
0 Reviews
10+ Question Solved
Related Book For
Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS
ISBN: 9781292183398
1st Edition
Authors: Greg Attwood
Question Posted:
Students also viewed these Mathematics questions
-
A real estate agent is considering changing her cell phone plan. There are three plans to choose from, all of which involve a monthly service charge of $20. Plan A has a cost of $.43 a minute for...
-
For R, partition the data sets into 60% training and 40% validation and implement the 10-fold cross-validation. Use the statement set. seed(1) to specify the random seed for data partitioning and...
-
A bond with a face value of $1,000 has 10 years until maturity, carries a coupon rate of 8.7%, and sells for $1,130. Interest is paid annually. a. If the bond has a yield to maturity of 9.3% 1 year...
-
Suppose the following game is repeated once (that is, played twice in total). Bridget Alex SB (40,40) (70,20) SA SA (20, 70) (30,30) (a) How many strategies does Alex have? (b) In an SPNE, what...
-
Aspen Ski Resorts has 100 employees, each working 40 hours per week and earning $20 an hour. Although the company does not pay any health or retirement benefits, one of the perks of working at Aspen...
-
Our quick-select implementation can be made more space-efficient by initially computing only the counts for sets L, E, and G, and creating only the new subset that will be needed for recursion....
-
When can stereotypes be positive?
-
A major car manufacturer developed the following information as part of its target costing efforts: Required(a) Prepare an exhibit similar to Exhibit 8-9 showing percentage contributions of each...
-
If the standard quantity of materials is 8 4 , 5 0 0 units at $ 0 . 1 5 per unit and the actual quantity is 9 5 , 0 0 0 units at $ 0 . 1 2 per unit, then the journal entry to record the cost of...
-
Costco Wholesale Corporation owns and operates membership warehouses in the United States, Canada, United Kingdom, Mexico, Japan, Korea, Australia, Spain, France, and Iceland. Costco also engages in...
-
The circle (x + 4) 2 + (y 7) 2 = 121 meets the y-axis at (0, m) and (0, n). Find the values of m and n.
-
The points M(3, p) and N(q, 4) lie on the circle centre (5, 6). The line segment MN is a diameter of the circle. Find the values of p and q.
-
The current semantics of the Arithlang programming language does not account for divide-by-zero errors. 1. Write a program that uses all the arithmetic expressions defined in Arithlang and gives a...
-
Questions 24 to 26 are based on the following flexible budget of factory overhead for Ritz Company: Percentage of Normal Capacity Variable Overhead 90% 216,000 240,000 264,000 120,000 120,000 120,000...
-
What are the molecular mechanisms underlying genetic recombination, including the initiation and resolution of meiotic recombination events, and how do these processes contribute to genetic diversity...
-
Question 3 (20 Points): Paul lives in Sydney Australia. His favorite niece, Natalie, has been accepted into a special 3-year degree program offered at UCSD. Being a proud uncle, Paul has agreed to...
-
Find the future value in 7 years of the following cash flows: 4,000 in 2 years and 7,000 in 4 years. The interest rate is 7.9% p.a. compounded monthly for the first 5 years and 5.5% p.a. compounded...
-
According to the Innovators, explain how the transistor was discovered and how the transistor can be considered one of the greatest inventions of the 20th century. What insights can we learn from...
-
If one car owner is randomly selected, find the probability of getting someone who lives in a large city, given that her or his car is foreign. Are owning a foreign car and living in large cities...
-
A regular deposit of $100 is made at the beginning of each year for 20 years. Simple interest is calculated at i% per year for the 20 years. At the end of the 20-year period, the total interest in...
-
If the clinical diagnosis is considered a screening test for Alzheimers disease, then what is the sensitivity of this test? Mental Health The 4 allele of the gene encoding apolipoprotein E (APOE) is...
-
What is the specificity of this test? Mental Health The 4 allele of the gene encoding apolipoprotein E (APOE) is strongly associated with Alzheimers disease, but its value in making the diagnosis...
-
What is the sensitivity of this test? To possibly improve on the diagnostic accuracy of the clinical diagnosis for Alzheimers disease, information on both the APOE genotype as well as the clinical...
-
Deemer Corporation has an activity - based costing system with three activity cost pools - Processing, Supervising, and Other. In the first stage allocations, costs in the two overhead accounts,...
-
Rey Company's only product sells for $ 2 2 0 per unit. Data for its first year of operations follow. Prepare an income statement for the year using absorption costing Prepare an income statement for...
-
Exercise 1 1 - 2 2 ( Algo ) Special Order; Opportunity Cost [ LO 1 1 - 2 ] Grant Industries, a manufacturer of electronic parts, has recently received an invitation to bid on a special order for 2 6...
Study smarter with the SolutionInn App