In ABC, AB = (5 x) cm, BC = (4 + x) cm, ABC = 120
Question:
In △ABC, AB = (5 − x) cm, BC = (4 + x) cm, ∠ABC = 120° and AC = y cm.
a. Show that y2 = x2 − x + 61.
b. Use the method of completing the square to find the minimum value of y2, and give the value of x for which this occurs.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 75% (4 reviews)
To solve this problem well use the given information and apply trigonometry and algebraic manipulati...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
-
In Problems 1-4, use the method of Lagrange multipliers to solve these problems from section 12.8 1. ((x, y) = 10 + x + y; S = {(x, y): x2 + y2 ( 1} 2. ((x, y) = x + y - xy; S = {(x, y): x2 + y2 ( 9}...
-
The method of completing the square is used several times in this text. It is a useful method for combining several quadratic and linear polynomials into a perfect square plus a constant. Prove the...
-
Use the method of Lagrange multipliers in Problems 7-16. Find the maximum and minimum of f(x, y) = x2 - y2 subject to x2 + y2 = 25.
-
Generate a matrix of random integer temperatures in Fahrenheit from 70 to 100 for 10 weeks (rows) and 7 days per week (columns). The result should look something like this. Assume the first column is...
-
Maria comes to you for investment advice. She asks, Which companys stock should I buy? There are so many companies to choose from and I dont know anything about any of them. Required: Respond to...
-
Event A occurs at x = 0 and t = 0 in reference frame S. Event B occurs at x = 3.8 light years and t = 1.6 years in S. Find (a) the distance (b) the time between A and B in a frame moving at 0.80c...
-
US Airways had indefinitely deferred the quarterly dividend on its $358 million of cumulative convertible 911 4 percent preferred stock.17 According to a US Airways spokesperson, the company did not...
-
Here and on page 84 are financial statements of Ogleby Company. OGLEBY COMPANY Income Statement For the Year Ended December 31, 2014 Net sales ..........$2,218,500 Cost of goods sold ..... 1,012,400...
-
Technoid Incorporated sells computer systems. Technoid leases computers to Lone Star Company on January 1 , 2 0 2 4 . The manufacturing cost of the computers was $ 1 7 million. This noncancelable...
-
Tyler, a single taxpayer, generates business income of $3,000 in 2019. In 2020, he generates an NOL of $5,000. In 2021, he generates business income of $1,000. In 2022, his business generates income...
-
A microchip company models the probability of having no faulty chips on a single production run as: where p is the probability of a single chip being faulty, and n being the total number of chips...
-
In ABC, AB = x cm, BC = (x 4) cm, AC = 10 cm and BAC = 60. Calculate the value of x.
-
These data compare the on-time arrival performance of American and US Airways shortly before their merger in 2015. The table shows the status of 9,350 arrivals during January 2015. (a) On the basis...
-
How do endocrine signaling pathways, including gonadotropin-releasing hormone (GnRH), follicle-stimulating hormone (FSH), luteinizing hormone (LH), and sex steroids, regulate reproductive physiology...
-
What are the cellular and molecular mechanisms involved in the maintenance of homeostasis within multicellular organisms, and how do disruptions in these mechanisms lead to pathological conditions ?
-
18. Compute conversion costs using the following information: Direct Materials $347.500, Direct Labor $186,300, Factory Overhead $187,900, and Selling Costs $45,290. a. $187,900 b. $374,200 c....
-
A bond of $100,000 is issued. The bond's contractual 1rate is 10%, the interest is paid semi-annually. The maturity is in 5 years. The market's interest rate is 6%. Calculate the total amount...
-
Corrosion of Copper Pipes Copper is frequently the material of choice for household plumbing. In some communities heavily chlorinated water corrodes copper pipes. The corrosion reaction is believed...
-
In the last chapter you modified some queries for the Wine Depot. Now Barbara would like you to help her create some new forms. Make the following changes for Barbara using the chl l-04_student_name...
-
Write a while loop that uses an explicit iterator to accomplish the same thing as Exercise 7.3. Exercise 7.3. Write a for-each loop that calls the addInterest method on each BankAccount object in a...
-
Assess whether there are any outliers for full-scale IQ in the exposed group? Environmental Health, Pediatrics Refer to Figure 8.12 (p. 313) and Table 8.7 (p. 305). Figure 8.12: Stem-and-leaf and box...
-
Based on your answers to Problems 8.85 and 8.86, compare mean full-scale IQ between the exposed and the control groups, after the exclusion of outliers? Environmental Health, Pediatrics Refer to...
-
Refer to Data Set FEV.DAT at www.cengagebrain.com . Assess whether there are any outliers in FEV for the following groups: 5- to 9-year-old boys, 5- to 9-year-old girls, 10- to 14-year-old boys, 10-...
-
Microsoft's Azure division incurs various costs associated with different activities. For a specific quarter, the total costs for infrastructure setup activities amount to $1,000,000, and the total...
-
Jacob was hired as the Chief Marketing Officer (CMO) of Theta Corporation, a publicly-traded company in the retail sector, effective July 1, 2022. Throughout the fiscal year 2023, Theta Corporation...
-
Explain the key differences between the periodic and perpetual inventory systems and how they impact the accounting treatment of petty cash payments for inventory.
Study smarter with the SolutionInn App