What is the definition of “i”? What do we use it for? Demonstrate with an example of your own.

Mathematics

1 answer:

lyudmila [28]3 years ago

6 0

Answer:

The letter "i" is used to signify that a number is an imaginary number.

Step-by-step explanation:

An imaginary number is one that gives a negative result when squared. This differs from when you square real numbers where you always get a positive result. For example:

i = √-1

Imaginary numbers can be especially useful when trying to find the square root of a real negative number such as -16. Normally we cannot find the square root of -16 but through the use of imaginary numbers we can:

√-16 = 4i

~Hope this helps!~

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pychu [463]

Answer:

x = 9

Step-by-step explanation:

If ΔMNO ≅ ΔPST, their corresponding sides must also be ≅(congruent).

NO is corresponds to TS, thus sides NO and side TS are ≅.

=> 20 = 3x - 7

=> 3x = 27

=> x = 9

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=Compare%20%5C%3A%20the%20%5C%3A%20graphs%20%5C%3A%20of%20%5C%5C%205x%20-%20y%20%3D%2012%20%5C%

fenix001 [56]

Answer:

<u>Given</u>

Equation 5x - y = 12

and

Inequality 5x - y > 12

<em>See the graphs attached</em>

To draw the graphs follow the rules we described in the previous questions.

1. Identify x-intercept and y-intercept and connect them to have the line.
2. Shade the region above or below the line for the inequality.

We see the only difference the expressions have is the equation or inequality symbols.

Equation symbol means the graph of the equation is a line.
Inequality symbol means the graph of this is a region above the same line, in our case the line is not a part of the covered region because it is "<".

We can state that the inequality excludes the line and includes only the region above the same line.