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
Micah can do 75 push up in 3 minutes Edward Lowe can do 130 push-ups in 5 minutes are these rates equivalent
IrinaK [193]
No because Edward can do 26 push-ups per minute while Micah can only do 25 push-ups per minute
6 0
3 years ago
Find surface area of the prism. Thanks.
Sedbober [7]

I think the surface area is 38

8 0
2 years ago
Read 2 more answers
How can i simplify 16m cubed -10m squared
adoni [48]
16m cubed - 10m squared......
take out the common factors
they both have a two that can go into it and both have two m's you can take out
so then it becomes
2m squared(8m-5) and thats your answer (:
5 0
3 years ago
Read 2 more answers
A laptop has a listed price of $537.95 before tax. If the sales tax rate is 7.5%, find the total cost of the laptop with sales t
nexus9112 [7]

Answer:

$578.30

Step-by-step explanation:

537.95(.075)= 40.35

$40.35 + $537.95 = $578.30

6 0
3 years ago
Can some one answer this
Novosadov [1.4K]

Answer:

Step-by-step explanation

7 0
3 years ago
Other questions:
  • To increase an amount by 17.5% what single multiplier would you use?
    12·2 answers
  • Comparing decimals 0.49 to 0.94 is that equal ? or 0.94 more..?​
    13·1 answer
  • What is the solution of the equation? w - 2 = -3
    13·1 answer
  • I What integer represents 6°F below zero?
    7·1 answer
  • What is 998 divided by 9?
    7·2 answers
  • Horses age more rapidly than humans. Suppose that the “horse age” and “human age” vary directly, and suppose that a 5 year old h
    15·1 answer
  • What is the ratio of 364:78
    13·1 answer
  • The height of the average barn owl is 3 times the height of the average tree swallow. If x is the height of the tree swallow, wh
    7·1 answer
  • Find the additive inverse of 1/4
    8·2 answers
  • Find the distance between Line L and Point P if Line L contains the points
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!