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
polet [3.4K]
3 years ago
13

Simplify the given expression.. . (7 − 3i) • (2 − i). . 4 + i. . 14 + 3i. . 11 − 13i. . 14 − 10i

Mathematics
2 answers:
Mila [183]3 years ago
3 0
The correct answer for this question is 11 - 13i.
This is how to answer this one:

(7 - 3i) (2 - i)
= [ (7*2) - (3i*2) - (7*i) + (3i*i) ]
Get the product of each term
= (14 -6i - 7i + 3i^2)

Group similar terms
= 14 - 13i - 3

Simplify.
= 11 - 13i

Side solution:
i = square root (-1)
i^2 = -1
sveticcg [70]3 years ago
3 0

Answer:

11 − 13i

(just took the quiz)


You might be interested in
4. Given the points M(-3, -4) and T(5,0), find the coordinates of the point Q on directed line segment MT that partitions MT in
Firlakuza [10]

Answer:

<u><em>4 : </em></u> Coordinate of Q = (\frac{1}{5} ,\frac{-12}{5} )

<em><u>5 : </u></em>  Coordinate of point A = (-2,-2)

Explanation :

4)  Given the points M(-3, -4) and T(5,0)

x₁= -3, y₁ = -4 and

x₂ = 5, y₂ = 0

m = 2, n = 1

Now apply the section formula,

{(mx₂+nx₁)/(m+n) , (my₂+ny₁)/(m+n)}

Coordinate of point Q = (\frac{1}{5} ,\frac{-12}{5} )


5)   AB:BC = 3:4

A = (x,y),   end point

B =  (4, 1)  

C = (12, 5)      end point

So, m = 3   &   n  = 4

x₁ = x ,  y₁ = y   , x₂=12  & y₂ = 5

Apply section formula we get

4 = (36+4x)/7                              &       1 = (15 + 4y)/7

28= 36 + 4x                                        7 = 4y + 15

4x =-8                                                         4y =-8

x =  -2                                                           y = -2

5 0
3 years ago
A differential equation that is a function of y only
Pachacha [2.7K]
ANSWER
<span>will produce a slope field with rows of parallel tangents 
</span>
EXPLANATION
A differential equation that is a function of y only does not depend on x, i.e. of the form dy/dx = f(y), where f is a function.

Therefore, the slope field will be independent of the horizontal position. This means that there will be rows where the slopes will be of the same rise/run ratio. When two slopes are the same, they are said to be parallel.
7 1
3 years ago
Over 6 days jim jogged 6.5 miles 5 miles 3 miles 2 miles 3.5 miles and 4 miles what is the mean distance that jim jogged each da
soldi70 [24.7K]
In order to identify the mean distance jogged by Jim for 6 days, we add up all of the distances and divide the sum by 6. That is,
                           sum = 6.5 + 5 + 3 + 2 + 3.5 + 4 miles 
                            sum = 24 miles
Dividing the sum by 6 will give us an answer of 4 miles. Thus, Jim jogged an average of 4 miles for 6 days. 
5 0
3 years ago
Read 2 more answers
Please find the exact value of each trigonometric function
Lerok [7]
Mmm i don’t know sorry ok
7 0
2 years ago
1 lb 0.454 kg About how many kilograms are in 21 pounds?
Semmy [17]

Answer:

21 Pounds =

9.5254398 Kilograms

(rounded to 8 digits)

Step-by-step explanation:

  • <em>Pounds : The pound or pound-mass (abbreviations: lb, lbm, lbm, ℔[1]) is a unit of mass with several definitions. Nowadays, the most common is the international avoirdupois pound which is legally defined as exactly 0.45359237 kilograms. A pound is equal to 16 ounces.  </em>
  • <em>Kilograms : The kilogram (or kilogramme, SI symbol: kg), also known as the kilo, is the fundamental unit of mass in the International System of Units. Defined as being equal to the mass of the International Prototype Kilogram (IPK), that is almost exactly equal to the mass of one liter of water. The kilogram is the only SI base unit using an SI prefix ("kilo", symbol "k") as part of its name. The stability of kilogram is really important, for four of the seven fundamental units in the SI system are defined relative to it.</em>
3 0
2 years ago
Other questions:
  • John read the first 114114114 pages of a novel, which was 333 pages less than \dfrac13 3 1 ​ start fraction, 1, divided by, 3, e
    8·1 answer
  • A dance instructor chose four of his 10 students to be on stage for a performance. If order does not matter, in how many differe
    6·1 answer
  • Anyone want to help me with math <br> Solve 1−2/5 &lt; 5x+2/5−4x
    13·1 answer
  • Solving systems of equations by graphing
    9·1 answer
  • Parabola with focus (2, 1) and directrix x=-8
    7·1 answer
  • What is the slope between the points?
    5·1 answer
  • sonja and jake just got married. they received $4500 in gift money and deposited it into a savings account that pays %2.85 simpl
    15·1 answer
  • When can we not use the distributive property?
    14·1 answer
  • Which represents a line that is parallel to x-4y=16?
    14·1 answer
  • Factor the expression using the GCF.<br> 12y - 8
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!