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3 years ago

How do I calculate the abs of value of (2-3i)^2

Mathematics

1 answer:

salantis [7]3 years ago

3 0

(2-3i)(2-3i)

Foil this out.

4-12i+9i²
= 4-12i-9

Keep in mind i² = -1.

= -5-12i

You might be interested in

Which computation should be done last 2x9 -3x5+4?

SVETLANKA909090 [29]

2 x 9 - 3 x 5 + 4

In math/s we have the rule called BEDMAS
(a.k.a. BODMAS, BIDMAS, PEDMAS, etc)

Brackets
Exponent
Division
Multiplication
Addition
Subtraction

We go from top to bottom of the list of rules for every math equation. There’s just one exception, addition and subtraction are treated equally, and so when we have an equation with just addition and subtraction, we work left to right

2 x 9 - 3 x 5 + 4

We have no brackets and no exponents, and there’s nothing to divide.
So, we do multiplication
18 - 15 + 4

If you remember, addition and subtraction are treated the same. Therefore, we work left to right.
18 - 15 + 4 = 7

You can type your question into goorgle or a calculator, and you’ll get 7!

5 0

2 years ago

the ski team has a race in 3 hours and it is 120 miles away. the team drives 50 miles each hour. will they arrive at the same ti

grin007 [14]

They won't arrive exactly when the race starts, but they will arrive before the race starts because, assuming they leave exactly three hours before the race, they can drive a total of 150 miles in three hours (3h*50mi/h). Because they only need to drive 120 miles, they will make it to the race before it starts.

8 0

4 years ago

the sequence {a_n} is defined by a_1= 1 and a_(n+1) = 1/2( a_n+ (4/a_n) ) for >=1. Assuming that {a_n} converges, find its li

katen-ka-za [31]

$a_{n+1}=\dfrac{a_n+\frac4{a_n}}2$

Assuming convergence of the sequence, we have $a_n\to L$ for some limit $L$ as $n\to\infty$ . This also means $a_{n+1}\to L$ . So in the above equation, we can substitute and solve for $L$ :

$L=\dfrac{L+\frac4L}2$

$\implies2L^2=L^2+4$

$\implies L^2=4\implies L=\pm2$

The limit can only be one of these values; otherwise, the sequence would be divergent. To decide which one is correct, we can observe that the sequence is strictly positive. So $L=2$ .

4 0

3 years ago

State the domain and range of the function: domain: range:

agasfer [191]

Answer:

Domain: [-5, 1)

Range: (5, 1]

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x)
Range is the set of y-values that are outputted by function f(x)

Step-by-step explanation:

According to the graph, our x-values span from -5 to 1. Since -5 is a closed dot, it is inclusive in the domain. Since -1 is an open dot, it is exclusive in the domain:

[-5, 1)

According to the graph, our x-values span from -5 to 1. Since -5 is an open dot, it is exclusive in the range. Since 1 is a closed dot dot, it is exclusive in the range:

(5, 1]

7 0

3 years ago

A B C D...............

evablogger [386]

I got imaginary means complex numbers
So answer is d

4 0

4 years ago