Questions: Write the expression in the standard form a + bi. (3-5 i)+(5+2 i) (3-5 i)+(5+2 i)= (Simplify your answer.)

Write the expression in the standard form a + bi. (3-5 i)+(5+2 i) (3-5 i)+(5+2 i)= (Simplify your answer.)
Transcript text: Write the expression in the standard form a + bi. \[ (3-5 i)+(5+2 i) \] $(3-5 i)+(5+2 i)=$ $\square$ (Simplify your answer.)
failed

Solution

failed
failed

Solution Steps

Step 1: Identify the operation

The operation to perform is addition.

Step 2: Apply the formula based on the operation

Using the formula for addition: \((a_1 + b_1i) + (a_2 + b_2i) = (a_1 + a_2) + (b_1 + b_2)i\).

Step 3: Perform the calculation

Substitute the given values into the formula: \((3 - 5i) + (5 + 2i)\).

Step 4: Simplify the expression

Simplification leads to: \(8 - 3i\).

Final Answer:

The result of the operation in standard form is \(8 - 3i\).

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Simplify the rational expression. If the rational expression cannot be simplified, so state. (x+6)/(x^2-x-42) Select the correct choice below and fill in any answer boxes in your choice. A. (x+6)/(x^2-x-42)= B. The expression cannot be simplified.
failedAnswered
Given the line of best fit for a set of data points with the equation y=5x-2.5, what is the residual for the point (5,26)? A. -3.5 B. 26 C. -26 D. 3.5
failedAnswered
Identify TWO dependent variables in the study. Whether participants liked or didn't like each photo Whether the photos were neutral, risky, or the participant's own Whether the photos were popular or unpopular Whether participants' brains were scanned or not What part of the brain was active while viewing pictures
failedAnswered
Keighley bridge model shown to represent a poor fit to observed data. If users can improve the model to better fit the data then the "DONE" button will light up.
failedAnswered
Read the stanza from "Monet's 'Waterlilies"' by Robert Hayden. How does the imagery in the stanza contribute to the poem's overall meaning? O light beheld as through refracting tears. Here is the aura of that world Here is the shadow of its joy. It illustrates tears as being soothing. It illustrates a sense of misfortune. It illustrates faith in humankind. It illustrates the beauty of nature.