All categories

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>

You might be interested in

A conjecture and the flowchart proof used to prove the conjecture are shown.

pishuonlain [190]

Answer:

∠1 is supplementary to ∠3.

Step-by-step explanation:

Given information: ABCD is a parallelogram.

Prove: ∠1 is supplementary to ∠3.

Proof:

∠1 = ∠ADB

∠2 = ∠DBC

∠3 = exterior angle adjacent to angle D B C.

Statement Reason

∠2 is supplementary to ∠3 Linear pairs

m∠2+m∠3=180° Definition of supplementary angles

$m\angle 1=m\angle 2$ Alternative interior angles

m∠1+m∠3=180° Substitute property of equality

∠1 is supplementary to ∠3 Definition of supplementary angles

Hence proved.

3 0

4 years ago

A car travels from A to B at a speed of 40 mph then returns, using the same road, from B to A at a speed of 60 mph. What is the

EastWind [94]

50mph since 40mph + 60mph = 100mph then divide it into 2 trips

100mph / 2 = 50mph

ANSWER: 50mph

6 0

4 years ago

6+2i

aliya0001 [1]

$\frac{6+2i}{3+3i}=\frac{6+2i}{3+3i}\times\frac{3-3i}{3-3i}$
$\frac{6+2i}{3+3i}=\frac{18-18i+6i-6i^{2}}{9-9i+9i-9i^{2}}$
$\frac{6+2i}{3+3i}=\frac{18-12i+6}{9+9}$
$\frac{6+2i}{3+3i}=\frac{24-12i}{18}$
$\frac{6+2i}{3+3i}=\frac{12(2-i)}{18}$
$\frac{6+2i}{3+3i}=\frac{2(2-i)}{3}$
$\frac{6+2i}{3+3i}=\frac{2}{3}(2-i)$
$\frac{6+2i}{3+3i}=\frac{4}{3}-\frac{2i}{3}$

3 0

4 years ago

Melissa wrote this expression to describe the number of pencils she used during the school year. 15-p Which situation could be d

klemol [59]

She used 15 fewer pencil this year because 15-p= 15 less than the number she has.
hope i helped u.

4 0

3 years ago

Read 2 more answers

25% of ________ is 6

dlinn [17]

........................

5 0

3 years ago

Read 2 more answers