All categories

3 years ago

Simplify (1+3i) + (2-5i)

Mathematics

1 answer:

qwelly [4]3 years ago

8 0

Answer:

3 - 2i

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Terms/Coefficients

Algebra II

Imaginary number i = √-1

Step-by-step explanation:

Step 1: Define

Identify

(1 + 3i) + (2 - 5i)

Step 2: Simplify

[Addition] Combine like terms: 3 + 3i - 5i
[Subtraction] Combine like terms (i): 3 - 2i

You might be interested in

Sally buys 400 feet of fencing to put up a fence around her backyard. If she ends up using 7/8 of it, how much fencing will she

bagirrra123 [75]

We should start by finding how much she did use:

7/8 * 400 = 350 feet used

To find how much she has left, subtract 350 from 400 to get 50 feet.

7 0

3 years ago

If x= 1 - y and 3x= 8-5y what is the value of x

mel-nik [20]

X = 1 - y & 3x = 8 - 5y ; Find x

Plug in x into the second equation.

3x = 8 - 5y

3(1 - y) = 8 - 5y

Simplify.

3 - 3y = 8 - 5y

Add 5y to both sides.

3 - 3y + 5y = 8

Subtract 3 from both sides.

-3y + 5y = 8 - 3

Simplify.

2y = 5

Divide both sides by 2.

y = 5/2

Now, since you have the value of y, you simply plug y into the first equation.

x = 1 - y

x = 1 - 5/2

Simplify.

x = 1 - 2 1/2

Simplify.

x = -2/2 - 5/2

Simplify.

x = -7/2 AND -3 1/2

~Hope I helped!~

7 0

3 years ago

An automobile manufacturer claims that its car has a 57.7 miles/gallon (MPG) rating. An independent testing firm has been contra

vampirchik [111]

Answer:

The value of test statistic

|Z| = |-2.2883| = 2.2883

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 57.7miles/gallon

The standard deviation of the Population = 1.9

The mean of sample x⁻ = 57.4

Given that the sample size 'n' =210

level of significance = 0.1

Step(ii):-

Test statistic

$Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{57.4-57.7}{\frac{1.9}{\sqrt{210} } }$

Z = -2.2883

|Z| = |-2.2883| = 2.2883

Final answer:-

The value of test statistic

|Z| = 2.2883

7 0

3 years ago

Can someone help me understand this

Gnoma [55]

Answer:

The answer for the question is E.

8 0

3 years ago

Fran’s store spent $64,000 on expenses last year. Rent of the store was 35% of those expenses .How much did Fran spend on rent.

andrezito [222]

Answer:

$22400

Step-by-step explanation:

multiply 64000 with 0.35 (35%)

6 0

3 years ago

Simplify (1+3i) + (2-5i)​

Simplify (1+3i) + (2-5i)