1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Natalka [10]
3 years ago
8

Simplify completely. (2 + 3i) + (-4+i)

Mathematics
2 answers:
Dmitrij [34]3 years ago
8 0

Answer:

-2+4i

Step-by-step explanation:

Aleksandr-060686 [28]3 years ago
7 0

Answer:

-2+4i

Step-by-step explanation:

Simplify by combining the real and imaginary parts of each expression.

You might be interested in
Island A is 250 miles from island B. A ship captain travels 260 miles from island A and then finds out he is off course and 160
elena-14-01-66 [18.8K]

CHECK THE COMPLETE QUESTION BELOW

Island A is 250 miles from island B. A ship captain travels 260 miles from island A and then finds that he is off course and 160 miles from island B. What bearing should he turn to, so he is heading straight towards island B?

A. 111.65

B. 119.84

C. 21.65

D. 135.53

Answer:

OPTION A IS CORRECT

A. 111.65

Step-by-step explanation:

This question can be explained using a triangle, let us say triangle ABD

and let us say A and B represent the islands and D is the particular point from where the captain is standing at a distance of 160 miles from B island .

We will be making use of cosines rule to calculate our angles, and we know that from cosine rule

D² = a² + b² -2abCosD

Where, a= 160 b = 260 and d = 250 then we can substitute in order to calculate our angles

250²= 60² + 260² - 2(160*260)Cos(D)

62500= 625600+ 67600- 83200CosD

83200CosD= 25600+ 67600 - 625600

83200CosD= 30700

CosD= 30700/83200

CosD= 0.369

D= cos⁻¹ (0.369)

D=68.35

Therefore, the angle inside the triangle is 68.35°

Now we can now find the bearing the captain supposed to turn , if he is heading to island B which will be the external angle of the triangle, but we know that The external angle =180°(supplimentary angles )

Then the angle he would turn will be external angle of the triangle - 68.35°

= (180 - 68.35)

= 111.65°

Therefore, the bearing the captain should turn is 111.65° for him to be heading straight towards island B.

7 0
3 years ago
Find the common difference for the infinite arithmetic sequence shown.
mihalych1998 [28]

The common difference is 12

Further explanation:

It is given that the infinite sequence is an arithmetic sequence

The common difference is the difference between consecutive terms of an arithmetic sequence.

Here,

a_1 = 211\\a_2 = 223\\a_3 = 235\\a_4 = 247........

The common difference is denoted by d.

Here,

d = a_2-a_1 = 223-211 = 12\\a_3-a_2 = 235-223 = 12

The common difference is same for all proceeding terms.

So,

d = 12

Keywords: Infinite arithmetic sequence, Common difference

Learn more about arithmetic sequence at:

  • brainly.com/question/12613605
  • brainly.com/question/1284310

#LearnwithBrainly

4 0
3 years ago
The scientists at ChemEx Research use chemical storage tanks.
statuscvo [17]

Answer:

395149.22 cubic inches.

Step-by-step explanation:

The volume of a tank with length (L), width (W) and height (H) is given by

V = LWH ........ (1)

Now, the interior dimensions of a tank are 82.5 inches long, 58.5  inches wide, and 81.875 inches tall.

So, L = 82.5 inches, W = 58.5 inches and H = 81.875 inches.

Therefore, V = (82.5 × 58.5 × 81.875) = 395149.22 cubic inches.

Hence, the approximate volume of the tank is 395149.22 cubic inches. (Answer)

5 0
3 years ago
The table shows the cost of renting ski equipment at a ski lodge. Write a linear function f for the sequence. Then graph the fun
Bingel [31]

Answer:

<u>y=5x+7</u>

<u>or</u>

<u>f(x)=5x+7</u>

Step-by-step explanation:

Slope (m) = 5

Y-intercept (b) = 7

Using the equation y=mx+b, you can find m and b to make y=5x+7.

Steps:

(1, 12) (2, 17)                          formula: y2-y1 / x2-x1 = m

17-12= 5

 2-1 = 1

5/1=5

m=5

12=5(1)+b

12=5+b

7=b

17=5(2)+b

17=10+b

7=b

<u>Answer: y=5x+7</u>

<u>or</u>

<u>f(x)=5x+7</u>

6 0
2 years ago
What is the distance, in units, between the points <img src="https://tex.z-dn.net/?f=%282%2C%20-6%29" id="TexFormula1" title="(2
Anna71 [15]

Answer: 3\sqrt{13}

Step-by-step explanation:

\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

\sqrt{\left(-4-2\right)^2+\left(3-\left(-6\right)\right)^2}

=3\sqrt{13}

6 0
3 years ago
Other questions:
  • 40% of a 12,000 acre forest is being logged how many acres will be logged
    14·2 answers
  • I'm working with varibles on both sides. This is math, also algebra 1. The expression is... 8-4a=16-8a I'm so confused on which
    11·2 answers
  • Solve the inequality 7(x - 2) &lt; -5.
    13·2 answers
  • Geometry math question no Guessing and Please show work thank you
    5·1 answer
  • If h (x) = 1 - 2/3, find h (x) when x is -6.
    13·2 answers
  • Sara is working on a Geometry problem in her Algebra class. The problem requires Sara to use the two quadrilaterals below to ans
    5·1 answer
  • PLEASE HELP- CORRECT ANSWER GETS BRAINLIEST AND 30+ POINTS
    14·1 answer
  • Lynn starts with $120 in her savings. Each week her brother gives her $16 to do his homework, which Lynn adds to her savings. Cr
    7·1 answer
  • The ______ and ______ of a triangle are called elements of a triangle.
    14·2 answers
  • 3 Sean has 8-inch pieces of toy train track and Ruth has 18-inch pieces of train track. How
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!