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
vichka [17]
3 years ago
5

Z=-19i+ 14 What is the real part of z ? What is the imaginary part of z?

Mathematics
1 answer:
Bogdan [553]3 years ago
7 0

9514 1404 393

Answer:

  • Re(z) = 14
  • Im(z) = -19

Step-by-step explanation:

The real part is the term not containing i as a factor.

The imaginary part is defined differently, depending on who you read. It is either the coefficient of i (-19), or the term containing i (-19i).

Above, we have shown the results that are obtained from functions designed to give the real and imaginary parts of a complex number.

real part: 14

imaginary part: -19, or -19i

You might be interested in
Need help really badly please help .
Harlamova29_29 [7]

Answer:

sin s = 36 / 42 = 18 / 21 = 6/ 7

sin R = 14 / 42 = 7 / 21 = 1 / 3

cos s = 14 / 42 = 1 / 3

cos R = 36 / 42 = 6 / 7

4 0
3 years ago
The proof ABC ≅ DCB that is shown.
Schach [20]

The <em><u>correct answer</u></em> is:

AAS

Explanation:

AAS stands for "angle-angle-side."  This states that if two angles and a non-included side of one triangle are congruent to the corresponding two angles and non-included side of another triangle, then the triangles are congruent.

In these triangles, we have ∠CAB ≅ ∠CDB given to us to begin with.  Throughout the proof, we find that ∠ABC ≅ ∠DCB.  We also have that CB is congruent to itself.  This is two angles and a side not included, so this is AAS.

4 0
3 years ago
Read 2 more answers
If you need $8000 to travel to Europe after you graduate in 4 year. How much would your monthly deposits need to be if your acco
lina2011 [118]
\bf \qquad \qquad \textit{Future Value of an ordinary annuity}\\&#10;\left. \qquad \qquad \right.(\textit{payments at the end of the period})&#10;\\\\&#10;A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]

\bf \qquad &#10;\begin{cases}&#10;A=&#10;\begin{array}{llll}&#10;\textit{accumulated amount}\\&#10;\end{array}\to &&#10;\begin{array}{llll}&#10;8000&#10;\end{array}\\&#10;pymnt=\textit{periodic payments}\\&#10;r=rate\to 5\%\to \frac{5}{100}\to &0.05\\&#10;n=&#10;\begin{array}{llll}&#10;\textit{times it compounds per year}\\&#10;\textit{monthly, thus twelve}&#10;\end{array}\to &12\\&#10;t=years\to &4&#10;\end{cases}

\bf 8000=pymnt\left[ \cfrac{\left( 1+\frac{0.05}{12} \right)^{12\cdot 4}-1}{\frac{0.05}{12}} \right]&#10;\\\\\\&#10;\cfrac{8000}{\left[ \frac{\left( 1+\frac{0.05}{12} \right)^{12\cdot 4}-1}{\frac{0.05}{12}} \right]}=pymnt\implies \cfrac{8000}{\frac{\left( \frac{241}{240} \right)^{48}-1}{\frac{1}{240}}}=pymnt&#10;\\\\\\&#10;\cfrac{8000}{53.0148852}\approx pymnt\implies 150.9010152318\approx pymnt
6 0
3 years ago
(-6,1) is a point on the graph of y=g(x)
NNADVOKAT [17]

Answer:

(-7, -4)

(-4, 2)

(-4, 1)

Step-by-step explanation:

We know that the point (-6, 1) belongs to the main function g(x)

The transformation

y = g (x + 1) -5

add 1 to the input variable (x) and subtract 5 to the output variable (y)

So the point in the graph of y = g (x + 1) -5 is

x + 1 =-6\\x = -7

y= 1-5\\y = -4

The point is:  (-7, -4)

The transformation

y = -2g(x -2) +4

subtract two units from the input variable (x), multiply the output variable (y) by -2 and then add 4 units

So the point in the graph of y = -2g(x -2) +4 is

x -2 =-6\\x = -4\\\\y = -2(1)+4\\y = 2

The point is:  (-4, 2)

The transformation

y=g(2x+2)

Multiply the input variable (x) by 2 and then add two units

So the point in the graph of   y=g(2x+2) is

2x +2 =-6\\2x = -8\\x=-4

y=1

The point is:  (-4, 1)

3 0
3 years ago
Which of the following is equal to the opposite of −45?
Nutka1998 [239]

Answer:

The first one

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • 75% of ? = 30 helppp
    11·2 answers
  • I need help please quick. Is 69 is answer?
    7·2 answers
  • The average length of a female dolphin is about 135 inches what is the length in feet and inches
    5·2 answers
  • If m, p, and t are distinct positive prime numbers, then mpt has how many different positive divisors greater than 1 ?
    12·1 answer
  • If A = {w.a, t,c, h, d, 0,8} and U = {a,b,c,d, e, f, g, h, L.), k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z), find A'
    15·1 answer
  • How do you graph: y = 4√x
    8·2 answers
  • A polynomial contains number of terms<br>​
    7·1 answer
  • What is the area of the polygon? <br> 6 inches 3 inches​
    14·2 answers
  • Can anyone help me with this Midterm Advanced Algebra problem. (DONT ANSWER IF YOUR NOT SURE)
    12·1 answer
  • (-5) X ? =-15 find the missing number
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!