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yKpoI14uk [10]
3 years ago
7

How do you simplify #(-3 - 2i)(-3 + 3i)#?

Mathematics
1 answer:
dybincka [34]3 years ago
7 0
So, ( -3 - 2i )( -3 + 3i ) = 9 - 9i +6i - 6i^2 = 9 - 3i - 6·(-1) = 9 + 6 - 3i = 15 - 3i;
We have / 15 +(- 3)i / = 15.29;\sqrt{ 15^{2} +  (-3)^{2}  } =  \sqrt{225 + 9} =  \sqrt{234} =
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Is 5.731 an rational number and integer or whole number
Delicious77 [7]

Answer:

<h3>Rational number</h3>

Step-by-step explanation:

A rational number are number that can be written as the ratio of two integers. Integers are whole numbers and they can be positive or negative including zero.

Looking at the value 5.371, we can write it in fraction form as shown;

5.371 = 5371/1000

Since 5.371  is equivalent to 5371/1000 and <em>5371/1000 is a ratio of two integers 5371 and 1000 therefore we can conclude that 5.731 is a rational number</em>

<u>Note that decimal numbers are not integers and are not whole numbers.</u>

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3 years ago
What is equivalent to 81 1/3
g100num [7]
1/3 of 81 = 81 • 1/3 = 81/3 = 27
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3 years ago
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Thepotemich [5.8K]
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Find the prime factors of 24 please hurry??!!!
Alex777 [14]

Answer:

So, the prime factorisation of 24 are 2 × 2 × 2 × 3 or 23 × 3, where 2 and 3 are the prime numbers.

Step-by-step explanation:

Hope it helps!

8 0
3 years ago
The top missing part of the screenshot says : Every year, a dog sled race is held in Alaska and is approximately 1,150 miles in
Molodets [167]

Answer:

-The equation that represents the approximate distance Aaron's dog sled team travels over time is Y = 5.32X.

-The equation that represents the approximate distance Dallas' dog sled team travels over time is Y = 5.48X.

-The equation that represents the approximate distance Mitch's dog sled team travels over time is Y = 5.42X.

Step-by-step explanation:

Given that every year, a dog sled race is held in Alaska and is approximately 1,150 miles in distance, based on the listed information, the speed rate of every racer is:

Aaron = 575 miles in 4 days and 12 hours = 575 miles in 108 hours = 5.32 mph

Dallas = 1,150 miles in 8 days and 18 hours = 1,150 miles in 210 hours = 5.476 mph

Mitch = 287.5 miles in 2 days and 5 hours = 287.5 miles in 53 hours = 5.42 mph

Therefore, the correct answers are:

-The equation that represents the approximate distance Aaron's dog sled team travels over time is Y = 5.32X.

-The equation that represents the approximate distance Dallas' dog sled team travels over time is Y = 5.48X.

-The equation that represents the approximate distance Mitch's dog sled team travels over time is Y = 5.42X.

6 0
3 years ago
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