Domanda del libro di testo
In Exercises 29–36, simplify and write the result in standard form. √(12 - 4 × 0.5 × 5)
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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 37
In Exercises 35–54, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? A = (1/2)bh for b
Guida verificata passo dopo passo1
Identify the formula given: \(A = \frac{1}{2}bh\). This is the formula for the area of a triangle, where \(A\) is the area, \(b\) is the base, and \(h\) is the height.
The problem asks to solve the formula for the variable \(b\), which means we want to isolate \(b\) on one side of the equation.
Start by eliminating the fraction. Multiply both sides of the equation by 2 to get rid of the denominator: \$2A = bh$.
Next, to isolate \(b\), divide both sides of the equation by \(h\): \(b = \frac{2A}{h}\).
Now the formula is solved for \(b\), expressing the base of the triangle in terms of the area and height.
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Solving Formulas for a Variable
This involves isolating the specified variable on one side of the equation. It requires using algebraic operations such as multiplication, division, addition, or subtraction to rewrite the formula in terms of the desired variable.
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06:36
Solving Quadratic Equations Using The Quadratic Formula
Area of a Triangle Formula
The formula A = (1/2)bh calculates the area of a triangle, where 'b' is the base length and 'h' is the height. Understanding this geometric context helps interpret the variables and the meaning of the formula.
Video consigliato:
06:36Solving Quadratic Equations Using The Quadratic Formula
Algebraic Manipulation Techniques
These techniques include multiplying both sides by a common denominator or dividing both sides by a coefficient to isolate variables. Mastery of these methods is essential for rearranging formulas accurately.
Video consigliato:
05:09Introduction to Algebraic Expressions
Pratica correlata
Domanda del libro di testo
In Exercises 37–52, perform the indicated operations and write the result in standard form. √-64 - √-25
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Domanda del libro di testo
In all exercises, other than exercises with no solution, use interval notation to express solution sets and graph each solution set on a number line. In Exercises 27–50, solve each linear inequality. 2x - 11 < - 3(x + 2)
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Domanda del libro di testo
In Exercises 35–46, determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial.
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Domanda del libro di testo
Solve each equation with rational exponents in Exercises 31–40. Check all proposed solutions. (x - 4)2/3 = 16
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Domanda del libro di testo
Solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? D = RT for R
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