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
allsm [11]
1 year ago
10

9j/5-6j simplify your answer. Type a interger or a fraction. Type your answer in the form a+bj

Mathematics
1 answer:
Serga [27]1 year ago
6 0
Dividing by a complex number is a similar process to the above - we multiply top and bottom of the fraction by the conjugate of the bottom.
You might be interested in
Please Help me with number two and three
pentagon [3]

Answer:

number 2 is C and number 3 is D

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A triangle has sides with lengths of 2x - 7, 5x - 3, and 2x - 2. What is the perimeter
alex41 [277]
P=2x-7 + 5x-3 +2x-2
P= 9x -12
6 0
2 years ago
Each circle counts as one whole. Write a mixed number giving the amount shaded. Then, write this amount as an improper fraction.
ryzh [129]

Answer: 1 3/4 is your mixed fraction and 7/4 is the improper fraction.

Step-by-step explanation:

6 0
2 years ago
Help me please with this question
docker41 [41]

Answer:

P=152

A=79

Step-by-step explanation:

add all the sides

6 0
2 years ago
Integral of 17/(x^3-125)
daser333 [38]

Answer:

17/75 ln│x − 5│− 17/150 ln(x² + 5x + 25) − 17/(5√75) tan⁻¹((2x + 5) / √75) + C

Step-by-step explanation:

∫ 17 / (x³ − 125) dx

= 17 ∫ 1 / (x³ − 125) dx

= 17 ∫ 1 / ((x − 5) (x² + 5x + 25)) dx

Use partial fraction decomposition:

= 17 ∫ [ A / (x − 5) + (Bx + C) / (x² + 5x + 25) ] dx

Use common denominator to find the missing coefficients.

A (x² + 5x + 25) + (Bx + C) (x − 5) = 1

Ax² + 5Ax + 25A + Bx² − 5Bx + Cx − 5C = 1

(A + B) x² + (5A − 5B + C) x + 25A − 5C = 1

Match the coefficients and solve the system of equations.

A + B = 0

5A − 5B + C = 0

25A − 5C = 1

A = 1/75

B = -1/75

C = -2/15

So the integral is:

= 17 ∫ [ 1/75 / (x − 5) + (-1/75 x − 2/15) / (x² + 5x + 25) ] dx

Simplify:

= 17/75 ∫ [ 1 / (x − 5) − (x + 10) / (x² + 5x + 25) ] dx

Factor ½ from the numerator of the second fraction:

= 17/75 ∫ [ 1 / (x − 5) − ½ (2x + 20) / (x² + 5x + 25) ] dx

Split the fraction:

= 17/75 ∫ [ 1 / (x − 5) − ½ (2x + 5) / (x² + 5x + 25) − ½ (15) / (x² + 5x + 25) ] dx

Multiply the last fraction by 4/4:

= 17/75 ∫ [ 1 / (x − 5) − ½ (2x + 5) / (x² + 5x + 25) − 30 / (4x² + 20x + 100) ] dx

Complete the square:

= 17/75 ∫ [ 1 / (x − 5) − ½ (2x + 5) / (x² + 5x + 25) − 15 / ((2x + 5)² + 75) ] dx

Split the integral:

= 17/75 ∫ 1 / (x − 5) dx − 17/150 ∫ (2x + 5) / (x² + 5x + 25) dx − 17/5 ∫ 1 / ((2x + 5)² + 75) dx

The first integral is:

∫ 1 / (x − 5) dx = ln│x − 5│

The second integral is:

∫ (2x + 5) / (x² + 5x + 25) dx = ln(x² + 5x + 25)

The third integral is:

∫ 1 / ((2x + 5)² + 75) dx = 1/√75 tan⁻¹((2x + 5) / √75)

Plug in:

= 17/75 ln│x − 5│− 17/150 ln(x² + 5x + 25) − 17/(5√75) tan⁻¹((2x + 5) / √75) + C

4 0
3 years ago
Other questions:
  • A graph with a ? slip deceases from left to right
    6·1 answer
  • 3x - 2x^2 + 7 - 3x^2
    11·1 answer
  • The subject of the formula below is y. y=x-5 rearrange the formula to make x the subject
    8·1 answer
  • 125 I will mark branliest if right<br> x 35<br> ₋₋₋₋₋₋₋₋₋₋₋₋₋<br> + ₋₋₋₋₋₋₋₋₋₋₋₋₋<br> ₋₋₋₋₋₋₋₋₋₋₋₋₋
    8·1 answer
  • Evaluate g(10) if g(x)=12x−4.
    8·1 answer
  • Tanya purchases gifts for two friends The first is a purse for $19.99, and the second is pair of shoot. Her total is $45.67 befo
    9·1 answer
  • X + 2 = x + 2<br> how many solutions
    7·2 answers
  • What is the area of the circle?
    12·1 answer
  • Name 4 fractions that are equivalent to 9/12. Show your work
    13·2 answers
  • I don't know the answer
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!