/*! 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 8 Add or subtract as indicated and... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 8

Add or subtract as indicated and write the result in standard form. $$ 15 i-(12-11 i) $$

Short Answer

Expert verified
The answer is \(-12 + 26i.\)

Step by step solution

01

Distribute the Negative Sign

To distribute the negative sign, one should write the expression as \(15i -12 + 11i \). The minus sign gets distributed to both +12 and -11i inside the parentheses.
02

Combine Like Terms

Next, combine the like terms (i.e., the terms with an i). This gives \(15i + 11i -12 = 26i - 12\). Here, 15i and 11i are combined to get 26i.
03

Write in Standard Form

The standard form of a complex number is a + bi, where a and b are real numbers. So write the result as \(-12 + 26i\).

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

Explain how to solve \(x^{2}+6 x+8=0\) by completing the square.

Each side of a square is lengthened by 2 inches. The area of this new, larger square is 36 square inches. Find the length of a side of the original square.

In Exercises 95鈥�102, use interval notation to represent all values of x satisfying the given conditions. $$ y=|3 x-4|+2 \text { and } y<8 $$

Explaining the Concepts. Describe ways in which solving a linear inequality is similar to solving a linear equation.

In Exercises 59鈥�94, solve each absolute value inequality. $$ 4+\left|3-\frac{x}{3}\right| \geq 9 $$
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Logic and Functions

Read Explanation

Mechanics Maths

Read Explanation

Calculus

Read Explanation

Statistics

Read Explanation

Theoretical and Mathematical Physics

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.