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3 years ago

Which of the following numbers belong to the set of complex numbers AND The set of imaginary numbers? Select all that apply.

1 answer:

8 0

A complex number is a number of the form a+bi,

if b=0, that is if the number is a, then it is a Real number

if a=0, that is if the number is bi, then it is called an imaginary number.

All imaginary numbers are complex numbers.

Also, all real numbers (non-imaginary) are complex numbers.

Thus, all the numbers given are complex.

3i : imaginary

-5i : imaginary

6-i: complex

square root of 21: real, non-imaginary, complex

Negative square root of 16=-4: real, non-imaginary, complex

<span>Square root of -14 = (square root of 14)i: imaginary</span>

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X + x(x + y) + y; use x = 4, and y = 1

leva [86]

$\huge\text{Hey there!}$

$\huge\text{x + x(x + y) + y}$

$\huge\text{= 4 + 4(4 + 1) + 1}$

$\huge\text{= 4 + 4(5) + 1}$

$\huge\text{= 4 + 20 + 1}$

$\huge\text{= 24 + 1}$

$\huge\text{= 25}$

$\huge\boxed{\textsf{Therefore, your answer is: 25}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

~ $\huge\boxed{\frak{Amphitrite1040:)}}$

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3 years ago

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The sum of two numbers is 21.

Delvig [45]

Answer:

3 and 18

Step-by-step explanation:

let x be the first number

let 6x be the second number

x + 6x = 21

7x=21

x=21/7

x=3

second number =6x

second number 6x3= 21

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3 years ago

What two numbers create a product of -12 and a sum of 4?

Katen [24]

Answer:

-2 and 6

Step-by-step explanation:

-2+6=4

-2×6=-12

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3 years ago

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The number of bags of mulch you need to cover a planting area varies jointly with the area to be mulched (a) in sq ft and the de

Lena [83]

Answer:

22 2/9

Step-by-step explanation:

When z "varies jointly" with x and y, it can be described by the formula

z = kxy

Here, we have bags of mulch (n) varying jointly with area (a) and depth (d), both in feet. The given information can let us find the value of k.

n = kad

10 = k·(120)(1/4)

10/30 = k = 1/3 . . . . . divide by the coefficient of k

Now, we can fill in the other values of interest.

n = (1/3)·(200)·(1/3) = 200/9

n = 22 2/9

You need 22 2/9 bags of mulch to cover 200 ft² to a depth of 4 inches.

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<em>Comment on the problem</em>

This problem requires the formula be written with both area and depth expressed in feet, yet it gives depth in inches. The formula can also be written using depth in inches. In that case, k = 1/36.

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3 years ago

Identify the underlined place in 83.5851. Then round the number to that place. The 8 to the right is underlined.

Marina86 [1]

We have to round the number 83.5851 to the nearest hundredth.
If the next smallest place is greater than or equal to 5 we increase the value of the digit we are rounding to by one.
83.5851 ≈ 83.59
Answer: 83.59

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