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3 years ago

Simplify (11 + 5i)(11 - 51)

Mathematics

2 answers:

Ede4ka [16]3 years ago

7 0

Answer:

(146 + 0i)

Step-by-step explanation:

(11+5i)(11-5i)

The formula is :

(a+bi) • (x+yi) = ax+by•i^2+(ay+bx)i

and since i^2 = -1 it can be written as :

ax - by + (ay + bx) i

( 11 + 5i) • ( 11 - 5i) =

(146 + 0i)

hope this helped brainlest owo???

mixas84 [53]3 years ago

3 0

Answer:

146

Step-by-step explanation:

(11 + 5i)(11 - 5i) =

Use the product of a sum and a difference, (a + b)(a - b) = a^2 - b^2.

= 11^2 - (5i)^2

= 121 - (25)(i^2)

= 121 - (25)(-1)

= 121 - (-25)

= 121 + 25

= 146

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If 5a+b=14 then a = what<br> explain how you got it pls

Trava [24]

Answer:

$a = \frac{14 - b}{5}$

Step-by-step explanation:

The rule to know and follow is:

You can add, subtract, multiply or divide by anything so long as the same thing is done to both sides of the equals sign;

5a + b = 14

If we want to get: "a = ...", then we use the rule to isolate the variable a on one side of the equation;

Firstly, we subtract b from both sides:

5a + b - b = 14 - b

5a = 14 - b

Then, divide both sides by 5:

$\frac{5a}{5} = \frac{14 - b}{5} \\\\ a = \frac{14 - b}{5}$

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2 years ago

What the improper fraction of 9 1/3

kherson [118]

Answer:

The improper fraction of 9 1/3 is 28/3

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3 years ago

Read 2 more answers

Please Please Please help with this math problem

katovenus [111]

The revenue as a function of x is equal to -x²/20 + 920x.
The profit as a function of x is equal to -x²/20 + 840x - 6000.
The value of x which maximizes profit is 8,400 and the maximum profit is $3,522,000.
The price to be charged to maximize profit is $500.

<h3>How to express the revenue as a function of x?</h3>

Based on the information provided, the cost function, C(x) is given by 80x + 6000 while the demand function, P(x) is given by -1/20(x) + 920.

Mathematically, the revenue can be calculated by using the following expression:

R(x) = x × P(x)

Revenue, R(x) = x(-1/20(x) + 920)

Revenue, R(x) = x(-x/20 + 920)

Revenue, R(x) = -x²/20 + 920x.

Expressing the profit as a function of x, we have:

Profit = Revenue - Cost

P(x) = R(x) - C(x)

P(x) = -x²/20 + 920x - (80x + 6000)

P(x) = -x²/20 + 840x - 6000.

For the value of x which maximizes profit, we would differentiate the profit function with respect to x:

P(x) = -x²/20 + 840x - 6000

P'(x) = -x/10 + 840

x/10 = 840

x = 840 × 10

x = 8,400.

For the maximum profit, we have:

P(x) = -x²/20 + 840x - 6000

P(8400) = -(8400)²/20 + 840(8400) - 6000

P(8400) = -3,528,000 + 7,056,000 - 6000

P(8400) = $3,522,000.

Lastly, we would calculate the price to be charged in order to maximize profit is given by:

P(x) = -1/20(x) + 920

P(x) = -1/20(8400) + 920

P(x) = -420 + 920

P(x) = $500.

Read more on maximized profit here: brainly.com/question/13800671

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2 years ago

Why are the solutions to the proportions 40/8 = x/10 and x/40 = 10/8 the same?

romanna [79]

Answer:

Both proportions are equivalent.

Step-by-step explanation:

We have been given two proportions $\frac{40}{8}=\frac{x}{10}$ and $\frac{x}{40}=\frac{10}{8}$ . We are asked to find why the solutions to our given proportions are equal.