Domanda del libro di testo
Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. x2 - 10x
1318
views
Ch. 1 - Equations and Inequalities
Blitzer8th EditionCollege AlgebraISBN: 9780136970514
Non è quello che usi tu?Cambia libro di testoScegli un libro di testo diverso
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 38
Solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? V = (1/3)Bh for B
Guida verificata passo dopo passo1
Start with the given formula: . The goal is to solve for .
To isolate , first eliminate the fraction by multiplying both sides of the equation by 3. This gives: .
Next, to solve for , divide both sides of the equation by . This results in: .
The formula is recognized as the formula for the volume of a pyramid, where is the volume, is the area of the base, and is the height.
The final formula for is , which expresses the base area in terms of the volume and height of the pyramid.
Risposta video verificata per un problema simile:
Questa soluzione video è stata consigliata dai nostri tutor come utile per risolvere questo problema.
Durata del video:
1mConcetti chiave
Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.
Volume of a Pyramid
The formula V = (1/3)Bh represents the volume of a pyramid, where V is the volume, B is the area of the base, and h is the height of the pyramid. This formula indicates that the volume is one-third the product of the base area and the height, reflecting how the shape of a pyramid occupies space.
Solving for a Variable
Solving for a variable involves rearranging an equation to isolate the desired variable on one side. In this case, we need to manipulate the formula V = (1/3)Bh to express B in terms of V and h, which requires understanding algebraic operations such as multiplication, division, and the properties of equality.
Video consigliato:
05:28
Equations with Two Variables
Area of a Base
The area of the base (B) in the context of the pyramid formula can vary depending on the shape of the base (e.g., triangular, rectangular). Understanding how to calculate the area of different geometric shapes is essential for applying the volume formula correctly and for interpreting the results in practical scenarios.
Video consigliato:
5:36Change of Base Property
Pratica correlata
Domanda del libro di testo
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
702
views
Domanda del libro di testo
Exercises 27–40 contain linear equations with constants in denominators. Solve each equation. 5 + (x - 2)/3 = (x + 3)/8
738
views
Domanda del libro di testo
In Exercises 37–52, perform the indicated operations and write the result in standard form. 5√-16 + 3√-81
249
views
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. 1 - (x + 3) ≥ 4 - 2x
877
views
Domanda del libro di testo
Solve each equation with rational exponents in Exercises 31–40. Check all proposed solutions. (x - 4)2/3 = 16
132
views