Domanda del libro di testo
Solve each equation in Exercises 41–60 by making an appropriate substitution.
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Ch. 1 - 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
Capitolo 2, Problema 52
In Exercises 35–54, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? A = 2lw + 2lh + 2wh for h
Guida verificata passo dopo passo1
Identify the formula given: \(A = 2lw + 2lh + 2wh\), which represents the surface area of a rectangular prism, where \(l\) is length, \(w\) is width, and \(h\) is height.
Our goal is to solve the formula for the variable \(h\), meaning we want to isolate \(h\) on one side of the equation.
Start by grouping all terms involving \(h\) on one side: \(A = 2lw + 2lh + 2wh\). Subtract \$2lw$ from both sides to get $A - 2lw = 2lh + 2wh$.
Factor \(h\) out of the right side: \(A - 2lw = h(2l + 2w)\).
Finally, divide both sides by \((2l + 2w)\) to isolate \(h\): \(h = \frac{A - 2lw}{2l + 2w}\).
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Solving Formulas for a Specific Variable
This involves rearranging an equation to isolate the desired variable on one side. It requires using algebraic operations such as addition, subtraction, multiplication, division, and factoring to rewrite the formula explicitly in terms of that variable.
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Solving Quadratic Equations Using The Quadratic Formula
Surface Area of a Rectangular Prism
The formula A = 2lw + 2lh + 2wh represents the surface area of a rectangular prism, where l, w, and h are the length, width, and height. It calculates the total area of all six faces by summing the areas of opposite sides.
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05:10Graphs & the Rectangular Coordinate System
Combining Like Terms and Factoring
When solving for h, it is important to group terms involving h and factor it out. This simplifies the equation and allows for isolating h by dividing both sides by the coefficient of h.
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5:22Combinations
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