Concept explainers
(a)
To draw: Squares with different sides.
(a)
Explanation of Solution
Given:
Side of MNPQ = Twice the side of ABCD
Side of FGHJ = Half the side of ABCD
Calculation:
Let the side of ABCD be x meters.
The side of MNPQ will be 2x meters.
The side of FGHJ will be x/2 meters.
(b)
The blank spaces of the given table.
(b)
Answer to Problem 45PPS
Explanation of Solution
Given:
Side of MNPQ = Twice the side of ABCD
Side of FGHJ = Half the side of ABCD
Calculation:
Let the side of ABCD be x meters.
Perimeter of the square will be:
The side of MNPQ will be 2x meters.
Perimeter of the square will be:
The side of FGHJ will be x/2 meters.
Perimeter of the square will be:
The table will be:
(c)
The relationship between the perimeter and the side length of the square.
(c)
Answer to Problem 45PPS
Directly Proportional.
Explanation of Solution
Given:
Side of MNPQ = Twice the side of ABCD
Side of FGHJ = Half the side of ABCD
Calculation:
From the below table:
It can be seen that perimeter is directly proportional to the side length of the square. That is, if the side length is doubled, the perimeter gets doubled and if the side length is halved, the perimeter is halved.
Chapter 2 Solutions
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (4th Edition)
Elementary Statistics: Picturing the World (7th Edition)
Thinking Mathematically (6th Edition)
College Algebra with Modeling & Visualization (5th Edition)
Elementary Statistics (13th Edition)
- The function f(x) is represented by the equation, f(x) = x³ + 8x² + x − 42. Part A: Does f(x) have zeros located at -7, 2, -3? Explain without using technology and show all work. Part B: Describe the end behavior of f(x) without using technology.arrow_forwardHow does the graph of f(x) = (x − 9)4 – 3 compare to the parent function g(x) = x²?arrow_forwardFind the x-intercepts and the y-intercept of the graph of f(x) = (x − 5)(x − 2)(x − 1) without using technology. Show all work.arrow_forward
- In a volatile housing market, the overall value of a home can be modeled by V(x) = 415x² - 4600x + 200000, where V represents the value of the home and x represents each year after 2020. Part A: Find the vertex of V(x). Show all work. Part B: Interpret what the vertex means in terms of the value of the home.arrow_forwardShow all work to solve 3x² + 5x - 2 = 0.arrow_forwardTwo functions are given below: f(x) and h(x). State the axis of symmetry for each function and explain how to find it. f(x) h(x) 21 5 4+ 3 f(x) = −2(x − 4)² +2 + -5 -4-3-2-1 1 2 3 4 5 -1 -2 -3 5arrow_forward
- The functions f(x) = (x + 1)² - 2 and g(x) = (x-2)² + 1 have been rewritten using the completing-the-square method. Apply your knowledge of functions in vertex form to determine if the vertex for each function is a minimum or a maximum and explain your reasoning.arrow_forwardFill in the blanks to describe squares. The square of a number is that number Question Blank 1 of 4 . The square of negative 12 is written as Question Blank 2 of 4 , but the opposite of the square of 12 is written as Question Blank 3 of 4 . 2 • 2 = 4. Another number that can be multiplied by itself to equal 4 is Question Blank 4 of 4 .arrow_forwardHow many quadrillion BTU were generated using renewable energy sources?arrow_forward
- Use the graphs to find estimates for the solutions of the simultaneous equations.arrow_forward21:46 MM : 0 % sparxmaths.uk/studer Sparx Maths + 13 24,963 XP Andrey Roura 1A ✓ 1B X 1C 1D Summary Bookwork code: 1B 歐 Calculator not allowed Write the ratio 3 : 1½ in its simplest form. 32 Menuarrow_forwardUse the graph to solve 3x2-3x-8=0arrow_forward
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education