교과서 질문
Graph each inequality. y>2x−1
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Ch. 5 - Systems of Equations and Inequalities
Blitzer8th EditionCollege AlgebraISBN: 9780136970514
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TOC.tableOfContents
- Ch. P - Fundamental Concepts of Algebra311
- Ch. 1 - Equations and Inequalities398
- Ch. 2 - Functions and Graphs407
- Ch. 3 - Polynomial and Rational Functions306
- Ch. 4 - Exponential and Logarithmic Functions247
- Ch. 5 - Systems of Equations and Inequalities173
- Ch. 6 - Matrices and Determinants143
- Ch. 7 - Conic Sections124
- Ch. 8 - Sequences, Induction, and Probability251
6장, 문제 9
The perimeter of a table tennis top is 28 feet. The difference between 4 times the length and 3 times the width is 21 feet. Find the dimensions.
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검증된 단계별 안내1
Step 1: Define variables for the dimensions of the table tennis top. Let \(L\) represent the length and \(W\) represent the width.
Step 2: Write an equation for the perimeter of the rectangle. The perimeter \(P\) is given by \(P = 2L + 2W\). Since the perimeter is 28 feet, write the equation as \(2L + 2W = 28\).
Step 3: Write an equation for the difference between 4 times the length and 3 times the width. This is given as \(4L - 3W = 21\).
Step 4: Solve the system of equations formed by the two equations: \(2L + 2W = 28\) and \(4L - 3W = 21\). You can use substitution or elimination methods to find \(L\) and \(W\).
Step 5: After solving the system, interpret the values of \(L\) and \(W\) as the length and width of the table tennis top, respectively.
비슷한 문제에 대한 검증된 영상 답변:
이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
4m주요 개념
질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.
Perimeter of a Rectangle
The perimeter of a rectangle is the total distance around the shape, calculated as 2 times the sum of its length and width (P = 2(L + W)). This formula helps relate the dimensions of the table tennis top to the given perimeter value.
Forming and Solving Systems of Linear Equations
When given multiple conditions involving length and width, we can form a system of linear equations. Solving these equations simultaneously allows us to find the exact dimensions that satisfy all conditions.
추천 영상:
4:27
Introduction to Systems of Linear Equations
Algebraic Manipulation and Substitution
Algebraic manipulation involves rearranging equations and substituting expressions to isolate variables. This technique is essential for solving the system of equations efficiently and finding the values of length and width.
추천 영상:
05:09Introduction to Algebraic Expressions
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