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
mel-nik [20]
3 years ago
15

Simplify the expression 5+6i/4+6i A) 56-6i/-20 B) -16-6i/-20 C)56-6i/52 D) -16-6i/52

Mathematics
2 answers:
IRISSAK [1]3 years ago
8 0

Answer:

The\ simplified\ form\ of\ the\ \frac{5 + 6i}{4 + 6i}\ is\ \frac{56-6i}{52}.

Option (C) is correct .

Step-by-step explanation:

As the expression given in the question as follows.

= \frac{5 + 6i}{4 + 6i}

Now rationalize the expression.

= \frac{5 + 6i\times 4 - 6i}{4 + 6i\times 4 - 6i}

Using the formula

a² - b² = (a - b) (a + b)

Using in the above

= \frac{5 + 6i\times 4 - 6i}{(4)^{2} - (6i)^{2}}

= \frac{5\times 4-5\times 6i+6i\times 4-36\ i^{2}}{16 - 36(i)^{2}}

As i² = -1

= \frac{20-30i+24i+36}{16 + 36}

= \frac{56-6i}{52}

Therefore\ the\ simplified\ form\ of\ the\ \frac{5 + 6i}{4 + 6i}\ is\ \frac{56-6i}{52}.

Option (C) is correct .

elixir [45]3 years ago
5 0
B -16-6i/-20 All you do is simplify

You might be interested in
Find a common denominator for the following fraction pairs
Vaselesa [24]
A) The least common denominator is 12.  Both 4 and 3 go into 12 evenly.
b) The least common denominator is 40.  Both 5 and 8 go into 40 evenly.
4 0
3 years ago
Read 2 more answers
Which human activity is correctly paired with the greenhouse gas that it increases?
ohaa [14]

Answer:

Sewage treatment and nitrous oxide

Step-by-step explanation:

Sewage to treatment and nitrous oxide is correctly paired with the greenhouse gases that it increases.

Greenhouse gas refers to gases that has the property of absorbing infrared radiation (net heat energy) emitted from Earth’s surface and reradiating it back to Earth’s surface, thus contributing to the greenhouse effect.

Examples of greenhouse gases and the most important greenhouse gases are methane, carbon dioxide (CO2), and water vapor.

Human activities such as fossil-fuel combustion are responsible for increase in the atmospheric concentration of various greenhouse gases, especially carbon dioxide, methane and ozone.

6 0
3 years ago
Read 2 more answers
3 πd=12 π<br> what does d equal?
Sindrei [870]

__________

D = 4

__________

i blelieve this is it.

7 0
3 years ago
Read 2 more answers
Multiply.
Lena [83]
<span>(4.214) x (3.06) = 12.89484 and can be rounded up to 12.9</span>
6 0
3 years ago
1/2 (x-1) - 1/4 (3-x) =2​
ololo11 [35]
1(x-1)/2-1(3-X)/4=2/1. X-1/2-3+x/4=2/1. Find common denominator. 2x-2-3+x=8. 2x+x-5=8 3x=8+5. X=13/3.
4 0
3 years ago
Other questions:
  • Question
    11·1 answer
  • Write the fraction or decimal to show the distances from zero. 1/5, 2/10
    12·1 answer
  • Either enter an exact answer in terms of foe use 3.14 for a
    8·1 answer
  • Chanasia thinks that (3,2) is a solution for 5y + 10x = 35 because 5(3) + 10(2) = 35. Explain her error.
    11·1 answer
  • <img src="https://tex.z-dn.net/?f=f%28x%29%3D%20x%5E%7B3%7D%20%2B%203x%5E%7B3%7D%20-%209x%20%2B%205" id="TexFormula1" title="f(x
    14·1 answer
  • You are scheduled to receive $38,000 in two yeara. when you receive it, you will invest it for 10 more years at 6.0 percent per
    13·1 answer
  • Find two points that lie on a line with slope -9
    6·2 answers
  • I need this ASAP!!!!
    9·1 answer
  • A rectangle's width is 1/3 its length and its perimeter is 40 m. find the dimensions of the rectangle
    7·1 answer
  • What is the solution of the system
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!