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
Leno4ka [110]
2 years ago
8

What is the answer to (3-4i)(5+6i)

Mathematics
2 answers:
densk [106]2 years ago
4 0

Answer:

39 - 2i

Step-by-step explanation:

First, you need to FOIL the equation:

(3 - 4i)(5 + 6i) \\15 + 18i - 20i - 24i^2\\15 - 2i - 24(-1)\\15 - 2i + 24\\39 - 2i\\

Remember that i^2 equals -1.

Therefore, the answer to this question is 39 - 2i

<em>I hope this helps!!</em>

<em>- Kay :)</em>

gulaghasi [49]2 years ago
3 0
(3-4i)(5+6i)

15+18i-20i-24i^2

15+18i-20i+24=

39-2i
You might be interested in
Which equation represents a line that passed through (2,-1:2) and has a sloe of 3
ella [17]

The equation that represents a line that passed through (2,-1:2) and has a slope of 3 is y = 3x - 18

<h3>How to determine the equation of the line?</h3>

The points are given as:

(x1, y1) = (2, -12)

The slope is given as:

m = 3

The equation of the line is calculated using:

y = m(x - x1) + y1

So, we have:

y = 3(x - 2) - 12

Open the bracket

y = 3x - 6 - 12

Evaluate

y = 3x - 18

Hence, the equation of the line is y = 3x - 18

Read more about linear equations at:

brainly.com/question/1884491

#SPJ1

7 0
2 years ago
Perform the indicated operation and write the result in the form a + bt.<br> (4 +9t)(7 - 4t)
bulgar [2K]
The answer is 64+47i
7 0
3 years ago
Newton's Law of Cooling states that the rate of change of the temperature of an object, T, is proportional to the difference of
maria [59]

Answer:

  305 °F

Step-by-step explanation:

The core temperature of the object after 4 hours can be found using an exponential decay formula to model the decay of the difference between core temperature and ambient.

<h3>Cooling Model</h3>

The solution to the differential equation described by Newton's law of cooling is the exponential equation ...

  y = ab^t +c

where 'a' is the initial core temperature difference from ambient, 'b' is the decay factor of that difference in 1 unit of time period t. 'c' is the ambient temperature.

For this problem, the ambient temperature is c=80, and the differences of interest are ...

  a = 1200 -80 = 1120

  b = (830 -80)/1120 = 75/112

Using these values in the model gives ...

  y = 1120(75/112)^t +80 . . . . . . where y(t) is the core temperature at time t

Note that units of time are hours.

<h3>Application</h3>

We want y when t=4.

  y = 1120(75/112)^4 +80 ≈ 1120(0.20108) +80 ≈ 305.212

The core temperature after 4 hours is about 305 °F.

__

<em>Additional comment</em>

The differential equation will have a solution of the form ...

  T-T_R=(T_0-T_R)e^{kt}

where k = ln(75/112) ≈ -0.40101

In the above, we defined b = e^k = 75/112. Accuracy with this fraction can be better than using a truncated value of k.

5 0
2 years ago
Mr. Jacobs is going to make a histogram of the test scores from the last math test he gave. He plans to first organize the data
lukranit [14]
The stem and leaf plot will look like:
6 | 1 5 8 - 3 scores
7 | 1 7 7 9 - 4 scores
8 | 2 3 4 5 7 9 - 6 scores
9 | 0 1 4 7 9 - 1 score
To total up the number of students who scored less than 90, we have 3 under 60-69, 4 under 70-79, and 6 under 80-89, so this is 3 + 4 + 6. This is the third choice.
8 0
3 years ago
Y=x-6 and y=8x+1 need help
Alex73 [517]
8x+1=x-6
7x+1=-6
7x=-7
X=-1
Y=x
Y=-1
4 0
3 years ago
Read 2 more answers
Other questions:
  • Help is this correct??(
    10·2 answers
  • uppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.2 and a standard deviation of 1.49. Us
    15·1 answer
  • A puzzle piece in the shape of a triangle has perimeter 25 centimeters. Two sides of the triangle are each twice as long as the
    10·1 answer
  • When the average price of an item increases from p1 to p2 over a period of n years, the annual rate of inflation r (in decimal f
    10·1 answer
  • A 48$ shirts cost $22 more than one half the cost of a pair of pants. How much does the pair of pants cost?
    10·1 answer
  • Iris found a value of 64 when she evaluated an expression.
    8·2 answers
  • 78 = n + 68 need help
    9·2 answers
  • After several weeks of working at the grocery store, Mark has been able to put $790 into his savings account. After he withdrawa
    9·1 answer
  • A pool can be filled by one pipe in 8 hours and by a second pipe in 3 hours. How long
    15·1 answer
  • An algebra class normally has y students, but today it is just 2/3 full. Express the number of students in class today terms of
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!