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
maks197457 [2]
2 years ago
8

(3-4i)(6i+7)-(2-3i)

Mathematics
1 answer:
Sergeu [11.5K]2 years ago
5 0

Answer:

43-7i

Step-by-step explanation:

We are given the expression:

\displaystyle \large{(3 - 4i)(6i + 7) - (2 - 3i)}

First, expand 3-4i in 6i+7. To expand binomial with binomial, first we expand 3 in 6i+7 then expand -4i in 6i+7.

\displaystyle \large{[(3 \cdot 6i) + (3 \cdot 7) + ( - 4i \cdot 6i) + ( - 4i \cdot 7)]- (2 - 3i)}  \\  \displaystyle \large{[18i + 21  - 24 {i}^{2}  - 28i]- (2 - 3i)}

Now combine like terms.

\displaystyle \large{[ - 10i+ 21  - 24 {i}^{2} ]- (2 - 3i)}

<u>I</u><u>m</u><u>a</u><u>g</u><u>i</u><u>n</u><u>a</u><u>r</u><u>y</u><u> </u><u>U</u><u>n</u><u>i</u><u>t</u>

\displaystyle \large{i =   \sqrt{ - 1} } \\ \displaystyle \large{ {i}^{2}  =   - 1 }

Therefore:-

\displaystyle \large{[ - 10i+ 21  - 24  ( - 1) ]- (2 - 3i)}  \\   \displaystyle \large{[ - 10i+ 21   + 24]- (2 - 3i)}  \\   \displaystyle \large{[ - 10i+ 45]- (2 - 3i)}

Then expand negative sign in 2-3i; remember that negative times negative is positive and negative times positive is negative.

\displaystyle \large{- 10i+ 45 -  (2 - 3i)}  \\   \displaystyle \large{- 10i+ 45 -  2 + 3i}

Combine like terms.

\displaystyle \large{43 - 7i}

You might be interested in
Please answer correctly !!!!!!!!!!!! Will make Brianliest !!!!!!!!!!!!!!!!!!!
den301095 [7]

Answer:

The line that splits the x is parallel to the other two horizontal lines. On account of this, you can get that that the topmost part of it's angle is 30° because it is the congruent alternate interior angle to the topmost 30°. The same applies with the bottomost part of the x's angle and the 40° on the bottomost line. Then you get that part of x is 30° and the other part is 40°, so x as a whole is 70°, I think.

4 0
2 years ago
Please help. 24 points!!
Lina20 [59]

The given function is,

f(x)= \frac{2x-1}{x+5}.

Or, y= \frac{2x-1}{x+5}

To find the inverse of a function, first step is to switch x and y. Therefore,

x= \frac{2y-1}{y+5}

Next stpe is to solve the above equation for y t get the inverse f f(x). Hence, multiply each sides by y + 5 to get rid of fraction form. So,

x*(y+5)= \frac{2y-1}{y+5}*(y+5)

xy + 5x = 2y - 1

xy = 2y - 1 - 5x Subtract 5x from each sides to isolate y.

xy - 2y = -5x - 1 Subtract 2y from each sides.

y(x - 2) = -5x -1 Take out the common factor y.

\frac{y(x-2)}{(x-2)} =\frac{(-5x-1)}{(x-2)} Divide each sides by x-2.

y=\frac{(-5x-1)}{(x-2)}

So, f^-1(x)=\frac{-5x-1}{x-2}

Now when we will compare f^-1(x)=\frac{-5x-1}{x-2} with f^-1(x)=\frac{ax+b}{cx+d} then we will get a = -5, b = -1, c = 1 and d=-2

So, \frac{a}{c} =\frac{-5}{1} =-5

Hope this helps you!

6 0
3 years ago
Need answer to the question in the picture above
densk [106]

Answer:

solution given :

Since opposite side and side of a congruent triangle are equal.

Now

the statement which is true is:

<HDG=~ <HFE

8 0
3 years ago
Mr. Parker wants to rent a cargo van for a day. It will cost the daily fee of $50 plus $0.35 per mile driven. Let m = the number
Iteru [2.4K]

Answer:

<h2>y=0.35m+50</h2>

Step-by-step explanation:

Step one:

given data

the daily fee= $50

cost per mile driven =$0.35

Let m = the number of miles

let y be the total cost

Step two

Required

the expression for the total cost is

An algebraic expression that shows the amount he will pay for the van. is  

<em>y=0.35m+50</em>

4 0
3 years ago
executive committee consists of 15 ​members: 7 men and 8 women. 5 members are selected at random to attend a meeting in Hawaii.
larisa [96]

Answer:

1over3

Step-by-step explanation:

number of successful outs come over the total number 5over 15

7 0
3 years ago
Other questions:
  • The following number sentence is _____________.<br><br> (9 ÷ 5) ÷ 2 = 9 ÷ (5 ÷ 2)
    12·2 answers
  • How can i use scalling to help predict the product of a number anda fraction
    14·1 answer
  • Simplfy -5 1/4 - (-7 1/2)
    8·2 answers
  • John knows that his first 4 tests grades were 84, 79, 82, and 88. Find John's grade on the test if his average was 83.8. ​
    9·1 answer
  • Math question<br><br><br>please help me
    11·1 answer
  • What division problem does the model show?
    15·2 answers
  • What’s the correct mathematical expression for 2 groups of z
    11·1 answer
  • Simplify linear expressions : 36m+23m-9m+8-2+6m
    8·1 answer
  • Deborah is saving for a trip. She wants to have at least ​$74 for each of the 13 days of her trip. If saves ​$84 each month for
    14·1 answer
  • What is the volume of a right circular cylinder with a radius of 6 m and a height of 9 m?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!