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
rusak2 [61]
3 years ago
11

Find the quotient of `(2i(4+5i)(4-5i))/(4+i)`, and express it in the simplest form.

Mathematics
1 answer:
DIA [1.3K]3 years ago
5 0

Answer:

(328i + 82)  /  17

Step-by-step explanation:

`(2i(4+5i)(4-5i))/(4+i)

= (2i(16 - 25i^2)) / (4 + i)

= (2i( 16 + 25) )) / (4 + 1)        [Note:- i^2 = -1]

=  82i / (4 + i)

= 82i(4 - i) / (4 + i)(4 - 1)

= 328i  + 82 /   (16 - i^2)

= (328i + 82)  /  17

You might be interested in
Evaluate the function
MissTica

Answer:

-16

Step-by-step explanation:

x = -3 is less than -2, so you should use the first equation 5x-1

thus, 5(-3)-1 = -16

6 0
2 years ago
What answer choice is this and step by step explanation?
cupoosta [38]

Answer:

2.5/yr

Step-by-step explanation:

Every year the height of the tree goes up by 2.5 ft.

You can tell that by doing this

12-9.5=2.5

9.5-7= 2.5

7-4.5= 2.5

I hope this helps! tell me if I need to explain more!

6 0
3 years ago
A. If she buys a pair of jeans for $102.25 and two shirts that each cost $44.27
slava [35]

Answer:

$481.54

Step-by-step explanation:

672.33-(102.25+(2)44.27)

672.33-(102.25+88.54)

672.33-190.79

481.54

6 0
3 years ago
Which function equation is represented by the graph?
Drupady [299]
The correct answer is C. <span>f(x)=20(35)x</span>
8 0
3 years ago
How do you simplify Radicals?<br>√180v^4​
julsineya [31]

Here are the steps required for Simplifying Radicals:

Step 1: Find the prime factorization of the number inside the radical. Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers. Also factor any variables inside the radical.

Step 2: Determine the index of the radical. The index tells you how many of a kind you need to put together to be able to move that number or variable from inside the radical to outside the radical. For example, if the index is 2 (a square root), then you need two of a kind to move from inside the radical to outside the radical. If the index is 3 (a cube root), then you need three of a kind to move from inside the radical to outside the radical.

Step 3: Move each group of numbers or variables from inside the radical to outside the radical. If there are nor enough numbers or variables to make a group of two, three, or whatever is needed, then leave those numbers or variables inside the radical. Notice that each group of numbers or variables gets written once when they move outside the radical because they are now one group.

Step 4: Simplify the expressions both inside and outside the radical by multiplying. Multiply all numbers and variables inside the radical together. Multiply all numbers and variables outside the radical together.

Shorter version:

Step 1: Find the prime factorization of the number inside the radical.  

Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind.  

Step 3: Move each group of numbers or variables from inside the radical to outside the radical. In this case, the pair of 2’s and 3’s moved outside the radical.  

Step 4: Simplify the expressions both inside and outside the radical by multiplying.

7 0
3 years ago
Other questions:
  • A triangle has base 7m and area 17.5m^2 what is the height
    9·1 answer
  • Please help me :(
    10·1 answer
  • Which best represents The area of a circle with a radius of 8 inches
    5·1 answer
  • What is 16 times 24.I need this answer for my area model help me
    13·2 answers
  • The area of a square garden is 1/81 km2. How long is each side?
    8·1 answer
  • How do you write 4410 in a proper scientific notation.
    11·1 answer
  • Can someone pls help me solved this problem! I need help ASAP!
    13·1 answer
  • Kate qualifies for a total of $9,450 in scholarships and grants per year, and she will earn $2,900 each year through a work-stud
    10·1 answer
  • Miss watson runs a disatnce of 200 metres in 25 seconds.
    14·1 answer
  • Value of the digit 3 for 263 is​
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!