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3 years ago

Simplify 6 / (7+3i).

Mathematics

2 answers:

Helen [10]3 years ago

6 0

Answer:

21/29 - 9/29<em>i</em>

user100 [1]3 years ago

5 0

Answer:

To simplify the following expression: 6 / (7+3i), we're going to multiply and divide the entire expression by (7+3i), as follows:

$\frac{6 (7-3i)}{ (7+3i)(7-3i)} = \frac{42-18i}{58} = 0.72 - 0.31i$

Now, the denominator has NO imaginary numbers.

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3 years ago

Write an equation for the line described. Give the answer in standard form. through (2,6), m= -5

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Answer:

5x +y = 16

Step-by-step explanation:

Given a point and slope, it often works well to start with the point-slope form of the equation for a line:

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3 years ago

When the expression 10^2021 − 2021 is evaluated, the result is a very large number.

Dafna11 [192]

Answer:

18,176

Step-by-step explanation:

Figure out an easier thing to do: 1000 - 2021 = 9,797.

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3 years ago

There are 53 regular pencils in the box and some colored pencils in the box. There are a total of 84 pencils. How many colored p

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Let be "x" the number of colored pencils in the box.

According to the information given in the exercise, there are 84 pencils in the box and 53 of them are regular pencils.

Knowing this information, you can set up the following equation:

$x+53=84$

Finally, you have to solve for the variable "x" in order to find its value. In order to do this, you can apply the Subtraction property of equality by subtracting 53 from both sides of the equation:

$\begin{gathered} x+53-(53)=84-(53) \\ x=31 \end{gathered}$

The answer is: There are 31 colored pencils in the box.

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1 year ago