1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anna11 [10]
3 years ago
6

Please help I’ll give brainliest

Mathematics
1 answer:
ivolga24 [154]3 years ago
6 0

Answer:

  \dfrac{z_1}{z_2}=\dfrac{1}{2}\,\text{cis}\,\dfrac{7\pi}{12}

Step-by-step explanation:

The quotient of complex numbers is the quotient of their magnitudes at the difference of their angles.

  \dfrac{z_1}{z_2}=\dfrac{\text{cis}\,\dfrac{2\pi}{3}}{2\,\text{cis}\,\dfrac{\pi}{12}}=\dfrac{1}{2}\,\text{cis}\left(\dfrac{2\pi}{3}-\dfrac{\pi}{12}\right)\\\\\bf{\dfrac{z_1}{z_2}=\dfrac{1}{2}\,\text{cis}\,\dfrac{7\pi}{12}}

You might be interested in
Choose the correct x-intercepts for the following quadratic function.
natali 33 [55]
Brainly doesn't automatically "know" every part of the problems you post here; you have to ensure that your post includes everything in the original problem.

We can still have some fun with answer choice  <span>x = 1, x = 3:

An associated quadratic function would have the form y = a(x-1)(x-3).  Just supposing that the point (2, 5) were on the graph, then this   </span>y = a(x-1)(x-3) would become   5 = a(2-1)(2-3), or 5 = a(1)(-1), or 5 = -a, or a = -5.

Thus, the equation of the parabola would be y = -5(x-1)(x-3), or, in the more usual form, y = -5(x^2 - 4x + 3).

Complete the square to find the vertex:

Steal y = x^2 - 4x + 3 for a moment and complete the square:

x^2 - 4x + 3    =  x^2 - 4x + 4 - 4 + 3, or (x-2)^2  -  1

Subbing this back into    y = -5(x^2 - 4x + 3), we get

y = -5 [ (x-2)^2  -1 ], or   y = -5(x-2)^2 + 5.  This shows that the vertex is at (2, 5), that the graph opens downward, and the graph is symm. about the line x = 2.  

Having fun yet?



8 0
3 years ago
Help please, I attached the question. Is it a!? <br> 
AVprozaik [17]

Answer:

A

Step-by-step explanation:

Recall that for a quadratic equation of the form:

0=ax^2+bx+c

The number of solutions it has can be determined using its discriminant:  

\Delta = b^2-4ac

Where:

  • If the discriminant is positive, we have two real solutions.
  • If the discriminant is negative, we have no real solutions.
  • And if the discriminant is zero, we have exactly one solution.

We have the equation:

2x^2+5x-k=0

Thus, <em>a</em> = 2, <em>b</em> = 5, and <em>c</em> = -<em>k</em>.

In order for the equation to have exactly one distinct solution, the discriminant must equal zero. Hence:

b^2-4ac=0

Substitute:

(5)^2-4(2)(-k)=0

Solve for <em>k</em>. Simplify:

25+8k=0

Solve:

\displaystyle k = -\frac{25}{8}

Thus, our answer is indeed A.

3 0
3 years ago
Read 2 more answers
Joe will build a rectangular pen for his dog. A wall will form one side of the pen. Joe has 40 ft of fencing to form the other t
Svetlanka [38]
Material=wall+2*side and material is 40 ft so:

40=w+2s

w=40-2s

Area=ws, using w from above we get:

A=(40-2s)s

A=40s-2s^2

dA/ds=40-4s and d2A/ds2=-4

Since d2A/ds2 is a constant negative acceleration, when dA/ds=0, A(s) is at an absolute maximum.

dA/ds=0 when 4s=40, s=10 ft

And since w=40-2s, w=20 ft

So the dimensions of the pen are 20 ft by 10 ft, with the 20 ft side being opposite the wall.  And the maximum possible area is thus 200 ft^2
6 0
3 years ago
Read 2 more answers
HELP!!! I NEED A ANSWER ASAP
hichkok12 [17]

Answer:

Hundred Digit = 7

Ten Digit = 7

Unit Digit = 3

Number = 773

7 0
3 years ago
Read 2 more answers
Tyler ate x fruit snacks, and Han ateless than that. Write an equation to represent the relationship between the number Tyler at
irga5000 [103]

Answer:

x < y

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Line QR, line RS and line SQ are midsegments of triangle WXY. The perimeter of WXY is ____ cm.
    5·2 answers
  • Round 2.062 to the nearest hundredth
    15·2 answers
  • F(x)=2-3x
    13·1 answer
  • PLZ HELP WILL REWARD BRAINLIEST
    7·1 answer
  • Which of the ordered pairs is a solution to the system of inequalities? y &gt; 5 y ≥ x (0, 0) (4, 5) (-5, 4) (-5, 6)
    5·1 answer
  • (10) Chuck's coin box contains only pennies and
    10·1 answer
  • Chris wanted to transform the graph of the parent function Y= cot (x) by horizontally compressing it so that it has a period of
    8·2 answers
  • Mrs. Jones owns a restaurant typically 1/5 if the customers orders fish while 1/ four of the customers order chicken what fracti
    11·1 answer
  • I really need help on this​
    12·2 answers
  • Which property was used to simplify the expression?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!