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lozanna [386]
3 years ago
6

Simplify the following and express in the form a+bi. (-8-i)(-8+i)

Mathematics
1 answer:
sesenic [268]3 years ago
8 0
 (-8-i)(-8+i)
=65
 (-8-i)(-8+i) is already in a+bi form of a complex number.
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Please help! Thanks! The midpoint between y and 33 is -7. Find y
Setler79 [48]

Answer: 32

Step-by-step explanation: hope this helps

4 0
2 years ago
The sum of two numbers is 54. The smaller number is 18 less than the larger number. What are the numbers?
igomit [66]

Answer:

The larger number is 37.  This makes the smaller number 56 - 37, which is 19.

Step-by-step explanation:

 

The first step is to pick variables for the two numbers.  Lets call the smaller number x and the larger number y.

Since the sum of the two numbers is 56, this means that x + y = 56.  Let's call this equation 1 and save it for later.

 

The next sentence says:

The smaller number is 18 less than the larger number.  So, 18 less than the larger number would be y - 18.  So, the smaller number must be equal to this, so

 

x = y - 18

 

Replace the x in equation 1 with y - 18

 

x + y = 56

(y-18) + y = 56   (replace x with y-18)

2y - 18 = 56        (add the y's)

2y = 74               (add 18 to both sides)

y = 37                 (divide both sides by 2)

 

So, the larger number is 37.  This makes the smaller number 56 - 37, which is 19.

 

Hope this helps!!  :)

8 0
2 years ago
What is the f(n) runtime of the following pseudocode: sum = 0 for A = N/2 downto 1 for B = 1 to 4N increment sum by B
nikitadnepr [17]

Answer:

f(N) = 2+ N/2 + 6N² units of time.

Step-by-step explanation:

Assigning 0 to the variable sum takes one unit of time.

Each time you increment sum by B, you need to call the value of sum, sum it to B and assign it to sum, which takes three units of time in total. You are repeating this process for each value of B which ranges from 1 to 4n and for each value of A which ranges from 1 to n/2. Opening the FOR takes also another unit of time, so, as a result, we have

f(N) 1 + 1 (open the FOR in A)+ N/2*(1 (open the FOR in B) + 4N*3) = 2+ N/2 + 6N² units of time. It has order complexity O(N²).

5 0
3 years ago
Katie is selling a camera online. She bought the camera at a wholesale cost of $125 and will mark the camera up 60% to make a pr
Bond [772]

Answer:

$200

Step-by-step explanation:

To find the retail price, multiply the wholesale cost by 1.6

125(1.6)

= 200

So, the retail price will be $200

3 0
2 years ago
3m=2(4+x) solve for x
algol13
Simple.........

3m=2(4+x)

Simplify...

3m=2(4+x)

3m=8+2x

Isolate the variable....

3m=8+2x
-8      -8

3m-8=2x

\frac{3m-8}{2} = \frac{2x}{2}

\frac{3m}{2} -4=x

Thus, your answer.
4 0
3 years ago
Read 2 more answers
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