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Volgvan
3 years ago
14

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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A circle has the equation 2x2+12x+2y2−16y−150=0.
astra-53 [7]

Answer:

Step-by-step explanation:

hello :

2x²+12x+2y²−16y−150=0

divide by 2 : (x²+6x)+(y²-8y)-75 =0

(x²+6x+9)-9+(y²-8y+16)-16-75 =0

(x+3)²+(y-4)² =10²

The coordinates of the center are (−3,4), and the length of the radius is 10 units.

6 0
3 years ago
8(2n - 5) = 3(6n - 2)
joja [24]

Answer:

n=-17

Step-by-step explanation:

8(2n-5)=3(6n-2)

1) Distributive property

16x-40=18x-6

16x−40=18x−6

2) Subtract 16x16x from both sides.

-40=18x-6-16x

−40=18x−6−16x

3) Simplify 18x-6-16x18x−6−16x to 2x-62x−6.

-40=2x-6

−40=2x−6

4) Add 66 to both sides.

-40+6=2x

−40+6=2x

5) Simplify -40+6−40+6 to -34−34.

-34=2x

−34=2x

6) Divide both sides by 22.

-\frac{34}{2}=x

−

2

34

=x

7) Simplify \frac{34}{2}

2

34

to 17

−17=x

8) Switch sides.

x=−17

5 0
3 years ago
Simplify the expression.20 • 5–2
DochEvi [55]
Hello!

Simplifying an expression is putting in its simplest form.

You do 20 * 5 = 100

Then 100 - 2 = 98

The simplest form of the expression is 98

The answer is 98

Hope this helps!
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Dora has 4,095 dollars left after she loans her mother money.
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