/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 53 Solve each formula for the speci... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Problem 53

Solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? \(A=\frac{1}{2} h(a+b)\) for \(a\)

Short Answer

Expert verified
\(a = \frac{2A}{h} - b\)

Step by step solution

01

Isolate the equation in terms of \(a\)

In this step, we'll work to isolate \(a\), requiring us to undo the operations affecting \(a\). Currently, \(a+b\) is being multiplied by \(h\) and then that result is being divided by 2. To reverse this, we need to eliminate the fraction and isolate \(h(a+b)\) first. Do this by multiplying both sides of the equation by 2: \(A \times 2 = h(a+b)\)
02

Further isolate \(a\)

Now we need to get rid of the multiplication by \(h\). Do this by dividing both sides of the equation by \(h\): \(\frac{2A}{h}=a+b\)
03

Solve the equation for \(a\)

Finally, we are left with \(a+b\), so we can now solve for \(a\) by subtracting \(b\) from both sides of the equation: \(\frac{2A}{h}-b=a\)

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I began the solution of \(5-3(x+2)>10 x\) by simplifying the left side, obtaining \(2 x+4>10 x\).

Solve each equation by the method of your choice. \(7 x(x-2)=3-2(x+4)\)

The radicand of the quadratic formula, \(b^{2}-4 a c\), can be used to determine whether \(a x^{2}+b x+c=0\) has solutions that are rational, irrational, or not real numbers. Explain how this works. Is it possible to determine the kinds of answers that one will obtain to a quadratic equation without actually solving the equation? Explain.

When the sum of 1 and twice a negative number is subtracted from twice the square of the number, 0 results. Find the number.

Determine whether each statement makes sense or does not make sense, and explain your reasoning. The fastest way for me to solve \(x^{2}-x-2=0\) is to use the quadratic formula.
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Statistics

Read Explanation

Geometry

Read Explanation

Decision Maths

Read Explanation

Discrete Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.