Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![Sure, here's a transcription and explanation for an educational website:
---
### Problem 9: Algebraic Manipulation
**Solve the equation**
\[ A = \frac{1}{2} bh \]
**for \( b \).**
**Choose the correct option:**
- **Option A:**
\[ b = \frac{2h}{A} \]
- **Option B:**
\[ b = \frac{2A}{h} \]
- **Option C:**
\[ b = \frac{A}{2h} \]
- **Option D:**
\[ b = \frac{h}{2A} \]
**Explanation:**
To solve the equation \( A = \frac{1}{2} bh \) for \( b \), you need to manipulate the equation to isolate \( b \) on one side:
1. Begin by multiplying both sides of the equation by 2 to get rid of the fraction:
\[ 2A = bh \]
2. Divide both sides by \( h \) to solve for \( b \):
\[ b = \frac{2A}{h} \]
The correct answer is **Option B:**
\[ b = \frac{2A}{h} \]
---](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd02e8216-dea1-4ad6-b44d-78a2b9f50b26%2Fa5c976ee-721c-4b6e-8662-389dcf46801a%2Fjxqvoc3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Sure, here's a transcription and explanation for an educational website:
---
### Problem 9: Algebraic Manipulation
**Solve the equation**
\[ A = \frac{1}{2} bh \]
**for \( b \).**
**Choose the correct option:**
- **Option A:**
\[ b = \frac{2h}{A} \]
- **Option B:**
\[ b = \frac{2A}{h} \]
- **Option C:**
\[ b = \frac{A}{2h} \]
- **Option D:**
\[ b = \frac{h}{2A} \]
**Explanation:**
To solve the equation \( A = \frac{1}{2} bh \) for \( b \), you need to manipulate the equation to isolate \( b \) on one side:
1. Begin by multiplying both sides of the equation by 2 to get rid of the fraction:
\[ 2A = bh \]
2. Divide both sides by \( h \) to solve for \( b \):
\[ b = \frac{2A}{h} \]
The correct answer is **Option B:**
\[ b = \frac{2A}{h} \]
---
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