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
balu736 [363]
3 years ago
14

If the complex number x = 3 + bi and |x| 2 = 13, which is a possible value of b?

Mathematics
1 answer:
tatyana61 [14]3 years ago
5 0

Answer:

A.2

Step-by-step explanation:

We know that |x|² = 13 and x = 3+bi:

(3+bi)² = 13

3² + b² = 13

9 + b² = 13

Subtract 9 from each side:

9 + b² - 9 = 13 - 9

b² = 4

Take the square root of each side:

√b² = √4

b = 2

You might be interested in
How much sugar syrup would you get by making 30% sugar syrup using 75g sugar?
Elena-2011 [213]

Answer:

250gr

Step-by-step explanation:

The amount of sugar syrup that I would get by making 30% sugar syrup using 75g sugar is going to be given by the weight of the sugar added to the weight of water. Therefore, we have the following equation:

\frac{75}{75+x} = 0.30

Now, we need to find x:

75 + x = 250

x = 250 - 75

x = 175

The amount of sugar syrp is 175gr + 75 grm = 250gr.

7 0
3 years ago
Gina mixed paint to make her favorite shade of purple. She filled up one third of the container with red paint. Then she filled
Masteriza [31]
There is 1000 milliliters in a liter. So we're gonna work with thirds. One third is already filled, so that means two thirds is not . So 4 liters fills up 2/3 which we can infer that 2 liters fills up one third of the area... so there is 6 liters in total. Which means there is a total of 6000 milliliters of paint.
3 0
3 years ago
Read 2 more answers
Help! Il give brainlest
Readme [11.4K]

Answer:

180 miles

Step-by-step explanation:

6 gallons is 2x as many gallons as 3 gallons so the distance he can drive is 2x the original distance.

2x90 miles=180 miles

7 0
3 years ago
Cos x =sin x [0,2pi) find all solutions in the interval .
KonstantinChe [14]
There are several good and valid ways in which to solve this equation.  One would be to divide both sides of the equation by cos x, which results in the new equation tan x = 1.  Solutions in [0,2pi) of this include pi/4 (45 degrees).  Can you find other solutions in [0,2pi)? 
7 0
3 years ago
Is 4 + 7i , rational, irrational or complex ?
statuscvo [17]

Answer:

complex

Step-by-step explanation:

a + bi is the format of complex numbers, which are those that contain a real and an imaginary component. Rational and irrational numbers are all real and cannot contain i unless it is to an even power (in which case it becomes -1 or 1).

3 0
3 years ago
Other questions:
  • Write kkkkknn in exponenential form
    15·1 answer
  • Shelby average speed is 30 mph in heavy traffic and his average in light traffic is 50 mph.If he was in heavy traffic for 1 hour
    5·1 answer
  • What is 1.44 as a fraction
    7·1 answer
  • Let's Practice
    9·1 answer
  • 14. Use mental math to simplify (4.55 +27) + 5.45.<br>32<br>13<br>18<br>37​
    12·1 answer
  • In a barangay fiesta singing contest with 12 contestants , in how many ways can the judges choose the first 3 winners
    10·1 answer
  • Please Help Look at photo for question.
    15·2 answers
  • Solve for x.<br> 1/3 (3/2x-3)=-5/6x
    8·2 answers
  • Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity. In the given triangle ABC, angle A
    14·1 answer
  • in the figure below, point B is on line segment DC. If AB = BC, what is the measure of angle ABE? FREE BRAINlIEST FOR THE FIRST
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!