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
Fofino [41]
3 years ago
7

Which complex number is equivalent to (5 + 12i) − (9i2 − 6i), where i = −1 ?

Mathematics
1 answer:
Alchen [17]3 years ago
5 0

Answer:

14 + 18i

Step-by-step explanation:

(5 + 12i) - (9 {i}^{2}  - 6i) \\  = (5 + 12i) - (9 \times  (- 1) - 6i) \\  = (5 + 12i) - ( - 9 - 6i) \\  = (5 + 12i)  +  (  9  + 6i) \\  = 5 + 12i + 9 + 6i \\ \red { \bold{  = 14 + 18i}}

You might be interested in
A solid piece of wood shaped as a cylinder with an 8-centimeter diameter is cut as shown. What is the surface area of the figure
aliina [53]
The surface area of the figure is 96 + 64π ⇒ 1st answer
Step-by-step explanation:
* Lats revise how to find the surface area of the cylinder
- The surface area = lateral area + 2 × area of one base
- The lateral area = perimeter of the base × its height
* Lets solve the problem
- The figure is have cylinder
- Its diameter = 8 cm
∴ Its radius = 8 ÷ 2 = 4 cm
- Its height = 12 cm
∵ The perimeter of the semi-circle = πr
∴ The perimeter of the base = 4π cm
∵ The area of semi-circle = 1/2 πr²
∴ The area of the base = 1/2 × π × 4² = 8π cm²
* Now lets find the surface area of the half-cylinder
- SA = lateral area + 2 × area of one base + the rectangular face
∵ LA = perimeter of base × its height
∴ LA = 4π × 12 = 48π cm²
∵ The dimensions of the rectangular face are the diameter and the
height of the cylinder
∴ The area of the rectangular face = 8 × 12 = 96 cm²
∵ The area of the two bases = 2 × 8π = 16π cm²
∴ SA = 48π + 16π + 96 = 64π + 96 cm²
* The surface area of the figure is 96 + 64π
6 0
3 years ago
Please help!? I'm soooo confused? Please help as soon as possible. It's do soon! I would really appreciate it.
Nikitich [7]
16 and 17. area is given. A=\pi  r^{2} use this relation to find radius

18.base=2, h=3.8 so, area=(1/2)*base*h=3.8 thats option D

19. area= base*h=12*7=84 option B

20.area of trapezoid= (1/2)h(a+b) where a and b are parallel sides.
so, area=(1/2)(3)(8.9+3.3)=(1/2)(3)(12.2)=3*6.1=18.3 option D

6 0
3 years ago
If the diameter of a circle is 18 feet, which is closest to the circumference?
Illusion [34]

Answer:

A. 56 52 feet

Step-by-step explanation:

d = 18 \: ft \\ c = \pi \: d \\  c = 3.14 \times 18 \\ c = 56.52  \: ft

6 0
4 years ago
Find the measure of an angle such that the difference between its supplement and 3 times its complement is 46°.
artcher [175]

supplement means the sum of the two angles is 180° → y = 180 - x

complement means the sum of the two angles is 90° → y = 90 - x

supplement - 3(complement) = 46

(180 - x) - 3(90 - x) = 46

(180 - x) - 270 + 3x = 46

2x - 90 = 46

2x = 136

x = 68

Answer: 68°

8 0
3 years ago
PLSSSS HELPPPP20 POINTSSS MATHH
melamori03 [73]

Answer:

<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u>1</u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>

-7x

Step-by-step explanation:

the rule of indices states that any thing raised to power of - 1 is 1 over the number. (e.g: 8^ -1 = 1/8 or 7^ -2 = 1/7²

therefore;

(-7x)‐¹ = <u> </u><u> </u><u> </u><u> </u><u> </u><u>1</u><u> </u><u> </u><u> </u><u> </u>

-7x

please remark brainliest

8 0
2 years ago
Read 2 more answers
Other questions:
  • There are 12 boys and 13 girls in a class. If the teacher randomly chooses a student's name out of a hat, what is the probabilit
    15·2 answers
  • PLEASE HELP ASAP! THANKS SO MUCH
    13·1 answer
  • Find the measurement of angle B, if a = 34 and c = 87<br> С<br> a<br> b
    11·1 answer
  • Help please 19 thru 23
    10·1 answer
  • I need a help. Anybody please. All is in the photo.
    5·1 answer
  • A physical education department wanted a single test of upper body strength that was easy to administer. Dips on the parallel ba
    13·1 answer
  • Find 2a for a = 3-<br> 4<br> = 34
    11·1 answer
  • (−7.4 )+ L = 9.11 <br><br> What is L ?
    13·2 answers
  • I dont know how to do this pls help me ​
    9·1 answer
  • What is the distance between (3,5) (3,-10) on a graph
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!