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
tatyana61 [14]
3 years ago
5

Complex numbers are used in electronics to describe the current in an electric circuit. Ohm's law relates the current in a circu

it, I, in amperes, the voltage of the circuit, E, in volts, and the resistance of the circuit, R, in ohms, by the formula Solve the problem using this formula. Find E, the voltage of a circuit, if I = (16 + i) amperes and R = (2 + 4i) ohms.
Mathematics
1 answer:
nekit [7.7K]3 years ago
6 0

Answer:

E = (28 + 66i) Volts

Step-by-step explanation:

Note that: i = √-1 ; i² = -1

Ohm's law: E = IR

E = (16+ i) (2 + 4i)

Expand the equation.

E = 16x2 + 16x4i + ix2 + ix4i

E = 32 + 64i + 2i + 4i²

E = 32 + 64i + 2i + 4(-1)

E = 32 + 64i + 2i - 4

Collect like terms:

E = 32 -4 + 64i + 2i

E = (28 + 66i) Volts

You might be interested in
Jaxon invested $4,500 in an account paying an interest rate of 4.6% compounded annually. Assuming no deposits or withdrawals are
exis [7]

Answer: 17

Step-by-step explanation

3 0
3 years ago
Plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Andrei [34K]

Answer:

Circle 1=6x+2y

Rectangle 4 = 3x+y

Circle 4 = 5x

Step-by-step explanation:

4x+3y and 2x-y can be added to find result for the circle.

Let C1 represent circle 1

4x+3y+2x-y=C1\\

Combining\:like\:terms\\

4x+2x+3y-y=C1

6x+2y=C1

So, The result is: C1=6x+2y

Now, We need to solve:

Let R1 represent rectangle 4

x+4y + R1 = 4x+5y

R1=4x+5y-(x+4y)

R1=4x+5y-x-4y

R1=4x-x+5y-4y

R1=3x+y

So, Solving x+4y + R1 = 4x+5y, We get R1 = 3x+y

Now, We need to solve the equation:

Let C4= Circle 4

2x-y+3x+y=C4

Combining the like terms

2x+3x-y+y=C4

5x=C4

So, Solving 2x-y+3x+y=C4 we get C4 = 5x

7 0
3 years ago
Evaluate the following expression 5^-2/5^0
Ray Of Light [21]

Answer:

Step-by-step explanation:

1/25

4 0
3 years ago
The current value of a baseball card is 50 times its original value vv (in dollars). The baseball card is worth $62. Write and s
11111nata11111 [884]
V=value of baseball card

v= 62*50
v= $3, 100

OR

8 0
3 years ago
Read 2 more answers
Please help and show work!!
Jlenok [28]

A(1, 1), B(7, 1), C(1, 9)

AB = 7 - 1 = 6

AC = 9 - 1 = 8

Use the Pythagorean theorem:

AB² + AC² = BC²

Substitute:

BC² = 6² + 8²

BC² = 36 + 64

BC² = 100 → BC = √100 → BC = 10

The perimeter of ΔABC:

P = 6 + 8 + 10 = 24

<h3>Answer: 24 units</h3>
5 0
3 years ago
Other questions:
  • What is the answer please help
    8·1 answer
  • Math help please will mark brainliest
    7·1 answer
  • Helen bought 4 gallons of paint to redecorate her family room. If she uses 4/5 of the paint on the family room walls how much pa
    7·1 answer
  • The equation 2(m-8)+3=17 has more than one solution method. Give at least two different "first steps" to solve this equation.
    14·1 answer
  • A salesperson earns a base salary of
    9·1 answer
  • Hans is sitting in a movie theater, 19 meters from the screen. The angle of elevation from his line of sight to the top of the s
    5·1 answer
  • Can someone please help me I don’t understand this pleaseeeeeeee:( thanks Find the area of this shape:
    14·1 answer
  • What is the slope and y-intercapt of the line 2x — 3y=9
    11·1 answer
  • Question 2 of 10
    10·1 answer
  • What type of proportion is shown in 12 : 4 = 24 : 8?​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!