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OLga [1]
3 years ago
8

In the graph, the vector terminating at A represents the complex number z. The vector terminating at B represents the product of

z and -2. Which graph correctly represents the product?

Mathematics
2 answers:
marin [14]3 years ago
6 0

Answer:


Step-by-step explanation:

A = z

B = -2z


Since  z is in the second quadrant ( x is negative and y is positive)

when we multiply by -2,   B is   (-*-  = +,  + * - = -)

B is in the 4th quadrant ( x is positive, y is negative)


This is the only graph that meets that requirement.

Oksi-84 [34.3K]3 years ago
6 0

Answer:

The answer is the second graph

Step-by-step explanation:

1. A complex number is coumposed by a real coordinate (in the x axis) and a imaginary coordinate (in the Y axis). If we see the vector A, we can note its direction is <-1,3>  .

2. When we multiply a number by a vector, we multiply the number by each component of the vector, as follows:

       -2  *   <-1,3>  =  <2,-6>

We can note the new direction <2,-6> is represented by the second graph.

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20. The H.M. between 2 and 8 is<br>(1 marks )​
e-lub [12.9K]

Answer as an improper fraction = 16/5

Answer as a mixed number = 3 & 1/5

Answer in decimal form = 3.2

All of those values represent the same thing, but written in a different way.

=============================================================

Explanation:

I'm assuming HM stands for Harmonic Mean in this case.

If so, then we apply the reciprocal operation to each value to get 1/2 and 1/8 (from 2 and 8 respectively).

Add up those fractions:

1/2 + 1/8 = 4/8 + 1/8 = 5/8

Now we'll divide n = 2 over that result. The n = 2 refers to the number of items in the original set.

n divide over (5/8) = 2*(8/5) = 16/5 which is the answer as an improper fraction

-----------

To convert to a mixed number, we can do the following:

16/5 = (15+1)/5

16/5 = 15/5 + 1/5

16/5 = 3 + 1/5

16/5 = 3 & 1/5

Or if you need the answer in decimal form, then using a calculator would get you 16/5 = 3.2

6 0
3 years ago
Can someone help with this equation?
Setler [38]

Answer:

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6 0
2 years ago
Which pair of monomials has the least common multiple (LCM) of 54x2y3?
Lera25 [3.4K]

ANSWER

The correct answer is D.

EXPLANATION

If we express the monomial,

18 {x}^{2} y

as product of primes, we obtain:

2 \times  {3}^{2}  \times  {x}^{2}y

If we express the monomial

27x {y}^{3}

as product of primes we obtain:

=  {3}^{3}  \times x {y}^{3}

The least common multiple of these two binomials is the product of the highest powers of the common factors.

The LCM is

= 2 \times  {3}^{3}  \times  {x}^{2} {y}^{3}

=54 {x}^{2} {y}^{3}

Therefore the correct answer is D.

6 0
3 years ago
Read 2 more answers
(19 POINTS QUESTION, HELP PLEASE) A bag contains 5 blue balls, 4 red balls, and 3 orange balls. If a ball is picked from the bag
juin [17]

Answer:

B.  0.4

Step-by-step explanation:

5 + 4 + 3 = 12 balls

5 blue / 12 balls = 0.4

7 0
3 years ago
Read 2 more answers
During the final 5 seconds of a race a cyclist increased her velocity from 4 m/s to 7 m/s . What was her average acceleration du
GREYUIT [131]

Answer:

The average acceleration of the cyclist was 0.6 m/s².

Step-by-step explanation:

Acceleration:

The rate change of velocity per unit time is call the acceleration of the object.

a=\frac{v-u}t

u= initial velocity

v= final velocity

t= time taken change of velocity.

During the final 5 seconds of a race cyclist increased her velocity from 4m/s to 7 m/s

Here v= 7 m/s and u=4 m/s t=5 seconds

\therefore a=\frac{7\ m/s-4 \ m/s}{5s}

     =\frac{3}{5} \ m/s^2

     =0.6 m/s²

The average acceleration of the cyclist was 0.6 m/s².

8 0
3 years ago
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