Find the absolute value of the complex number -3 - 6i.a.
6.07
c.
6.7
b.
6.17
d.
6.71

Please select the best answe

Answers

Answer 1

Answer: Answer: 6.71

Explanation:

1) The absolute value of a complex number a + bi is √ [ (a)² + (b)²]

2) The given number - 3 - 6i is equivalent to (-3) + (-6)i, so you see that a = -3 and b = - 6.

3) Therefore, the absolute value is √ [ (-3)² + (-6)² ] = √ [ 9 + 36] = √(45) ≈ 6.708 ≈ 6.71

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Gavin read 6 books in 3 months. If he reads at a constant rate, how many books did he read each month? Give your answer as a whole number or a FRACTION in simplest form.

Answers

Answer:

2 books in one month

Step-by-step explanation:

Answer:

2 books per month .

Step-by-step explanation :

6 divided by 3 = 2

So 1 book per month = 2 , 2 books per month = 4 , 3 per month = 6 ( counting by 2 )

Hope that helped :)

The density of water is 1000 kilograms per cubic meter and the density of ice is about 916 kilograms per cubic meter of 700 kilograms of water and 450 kilograms of ice is combined in a container what is the volume of the water

Answers

Final answer:

The volume of water can be calculated by dividing the mass of water by the density of water.

Explanation:

The question asks for the volume of water when 700 kilograms of water and 450 kilograms of ice are combined in a container. To find the volume of water, we need to subtract the volume of ice from the total volume. The density of water is 1000 kg/m³, so the volume of water can be calculated by dividing the mass of water (700 kg) by the density of water (1000 kg/m³).

Volume of water = Mass of water / Density of water

Volume of water = 700 kg / 1000 kg/m³

Volume of water = 0.7 m³

Learn more about density of water here:

brainly.com/question/14373997

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Simplify
21-(x+7)
how do i solve it.

Answers

21 - (x + 7) We would multiple the numbers inside the parenthesis with -

21 - x - 7 Then we simplify

14 - x

Or if it’s equal to 0 and you need to isolate the x then it’s

x = -14

Award me brainliest please if this helped

Plz factor
2x^2+17x-21

Answers

2x^2 + 17x -21 cannot be factored nicely, if it was +21 you could, but the zeros for this have to gotten using the quadratic equation

-b +/- (b^2-4ac)^1/2
2a
so

-17 +/- (17^2-4(2)(-21))^1/2
2(2)
-17 +/- (457)^1/2
4

so the zeros are roughly 1.094 and -9.594

What is the distance traversed by the particle between 0 seconds and 6 seconds?A.
2 meters
B.
4 meters
C.
6 meters
D.
8 meters
E.
12 meters

Answers

Answer:

C. 6 meters

Step-by-step explanation:

There's an average speed of 1 m/s throughout the 6 seconds and 6*1=6 :)

Answer:

6 meters

Step-by-step explanation:

plato

Johnny B's rectangular garden is 5 feet long and 10 feet wide. He wants to make the area of his garden 6 times as large by increasing the length and width by the same amount. Find the number of feet by which each dimension must be increased.

Answers

Answer:

The length is 15 and the width is 20

Step-by-step explanation: 10 times 5 is 50 and 6 times is 300 which is the area you are looking for. 15 times 20 is 300 and you add 5 to each numbers so it works.

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