The diagram shows a trapezium. All measurements are in centimetres. a) Show that the area of the
Question:
The diagram shows a trapezium. All measurements are in centimetres.
a) Show that the area of the trapezium is (6 + x − x²) cm².
b) The area of the trapezium can be written in the form a(x + b)² + c.
i) Find the values of a, b and c.
ii)
Hence find the maximum area of the trapezium and the value of x which gives the
maximum area.
Transcribed Image Text:
X x + 4 3-X
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 62% (8 reviews)
a To find the area of a trapezium you can use the formula Area 12 height sum of parallel sides In th...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
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
-
A compare-exchange operation on two array elements A[i] and A[j], where i < j, has the form COMPARE-EXCHANGE (A, i, j) 1 If A[i] > A[j] 2 exchange A[i] with A[j] After the compare-exchange operation,...
-
The diagram shows a trapezium. All measurements are in centimeters. The area of the trapezium is 60 cm. The perimeter of the trapezium is 36 cm. Find the value of x and the value of y. 2y 2x+3->>...
-
KYC's stock price can go up by 15 percent every year, or down by 10 percent. Both outcomes are equally likely. The risk free rate is 5 percent, and the current stock price of KYC is 100. (a) Price a...
-
The Chicago Omni Hotel is a 750-room luxury hotel offering guests the finest facilities in downtown Chicago. The hotel is organized into four departments: lodging, dining, catering, and retail...
-
The plant assets section of the comparative balance sheets of Anders Company is reported below. Refer to the balance sheet data above from Anders Company. During 2015, equipment with a book value of...
-
An electric field is given by E = axi, where E is in newtons per coulomb, x is in meters, and a is a positive constant. (a) What are the SI units of a? (b) How much work is done by this field on a...
-
Discuss the component parts of the communications mix.
-
The following selected accounts and their current balances appear in the ledger of Kanpur Co. for the fiscal year ended June 30, 2014: Instructions 1. Prepare a multiple-step income statement. 2....
-
The audited accounts of Wilo Ltd . for the year - end 3 1 December 2 0 2 2 , show a loss of $ 6 , 8 0 0 , 0 0 0 after charging the following: $Depreciation 1 , 7 5 0 , 0 0 0 Legal fees 1 , 6 0 0 , 0...
-
Bug-Off Exterminators provides pest control services and sells extermination products manufactured by other companies. The following six-column table contains the company's unadjusted trial balance...
-
a) Differentiate with respect to x b) Find 5x4+6VX -6x - 3-x 2.x
-
a) Draw the graph of x + y = 5 and find the area bounded by the line x + y = 5, the x-axis and the y-axis. b) Check this area using integration.
-
The general solution of the equation is y(x) = tan(C + sin x) With the initial condition y(0) = 0 the solution y(x) = tan(sin x) is well behaved. But with y(0) = 1 the solution y(x) = tan (1/4 sin x)...
-
Given an instance of Console c, which of the following two method calls are invalid ways of retrieving input from the user? (Choose two.) A. c.read() B. c.reader().read() C. c.reader().readLine() D....
-
Given the following application, in which a user enters bone twice, what is the expected result? A. The program completes after printing a message once. B. The program completes after printing a...
-
Given the diagram in question 78 and the following module-info.java for the panda module, what is the result of including line m1? A. Any modules that require mammal will automatically get panda as...
-
What is the output of the following program? Assume the file paths referenced in the class exist and are able to be written to and read from. A. 2,null,RED B. 2,null,BLUE C. 3,10.0,RED D. 3,10.0,BLUE...
-
What is the output of the following application? A. [Filing] B. [Filing]3.14159 C. [Filing]null 3.14159 D. The declaration of f1 does not compile. E. The declaration of f2 does not compile. F. The...
-
The following reaction is at equilibrium: CO + C12 + COC12 The equilibrium [CO] and [Cl2] are 0.088 M and 0.103 M, respectively. If the Keq is 0.225, what is the equilibrium [COCl2]?
-
The maximum pressure that can be developed for a certain fluid power cylinder is 15.0 MPa. Compute the required diameter for the piston if the cylinder must exert a force of 30 kN.
-
How have 25- to 34-year-olds with university degrees fared financially since 1984? To answer this question, the Pew Research Center conducted surveys in 1984, 1996, and 2009 recording monthly...
-
Repeat Exercise 14.98 for the 2012 General Social Survey. In exercise 14.98 Is there sufficient evidence to conclude that there are differences in the years of education between American adults and...
-
Refer to Exercise 14.52. Apply Tukeys method to determine whether there is enough statistical evidence to infer that each pair of means differ. Developing an Understanding of Statistical Concepts. In...
-
Which canada act article should i add to the technology upgrade union negotiation simulation(to propose language change in a company there is no previous articel) in a ontario based heat and cool...
-
At the reading of the will, you learn that your inheritance will allow you to receive the amount of $ 4 0 0 at the end of each year for a total of 1 5 consecutive years. However, because of your...
-
Kim Shaw is considering the purchase of a 6 year bond that pays a coupon rate of 6 . 7 5 % over the life of the bond ( annual payments ) and a face value of $ 1 0 0 0 that is returned at the bond's...
Study smarter with the SolutionInn App