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
castortr0y [4]
3 years ago
15

Multiply and express your answer in standard form (-2+7i)(3+4i)

Mathematics
1 answer:
Gnom [1K]3 years ago
8 0

Answer:

-34 + 13i

Step-by-step explanation:

to solve (-2 + 7i)(3+4i), we can use FOIL which is:

First

Outside

Inside

Last

lets start off with F, we multiply the first 2 terms of each expression

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

this gives us -6

next is O, we multiply the 2 outside times of the expression:

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

this gives us -8i

I is the next step, we multiply the 2 terms on the inside:

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

this gives us 21i

the last step is the letter L in which we multiply the last terms of each expression:

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

this gives us -28, and the reason for that is because if we multiply 7i × 4i gives us 28i². i² is equal to -1, so we multiply 28 by -1 which gives us -28

so this gives us the new expression:

-6 -8i + 21i - 28

we now combine like terms which gives us the expression

-34 + 13i

this cannot be simplified any further, so this is our answer in standard form

You might be interested in
Please help me answer #4, #5 and #6
Salsk061 [2.6K]

Answer:

4). The Washington Monument is 169.2-m tall.

Step-by-step explanation:

4). We know this because...

person     1.8       0.7

----------  = -----  = -------

Wash.        x       65.8

We then know to cross-multiply to get:  

1.8(65.8) = 0.7x

Which simplifies down to:

118.44 = 0.7x

x = 169.2

Answer:

5). The pond is 180ft wide.

Step-by-step explanation:

5). We know this because...

90       120

-----  = -------

135        x

We then know to cross-multiply to get:

90x = 120(135)

Which simplifies down to:

90x = 16200

x = 180

Answer:

6). The height of the clock tower is 13ft 9in.

Step-by-step explanation:

6). We know this because...

person       5.5         4

----------  =  --------  = -----

clock            x          10

We then know to cross-multiply to get:

5.5(10) = 4x

Which simplifies down to:

55 = 4x

x = 13.75 (13 ft 9 in)

7 0
2 years ago
PLZZZ HELP I'LL GIVR U A MEDAL N FAN U
marusya05 [52]
The deviation is 4, 4. and, if u r using windows, do ctrl print scrn
4 0
3 years ago
Witch mixed number shows the result of 89 divided by<br> 35
KATRIN_1 [288]

Answer:

89/35 = 2 and 19/35

Step-by-step explanation:

7 0
3 years ago
Which are factors of x² - 4x - 5? Select two options.
Annette [7]

Answer:

(x-5) & (x+1)

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Solve for Xin the equation x^2-12+36=90
Hunter-Best [27]

X= + or- square root 66 i solved using the pq formula but u can also use the quadratic formula as well and the square root formula but I'ma show u how to solve it with pq it's on this image hope it helps and mark me brainliest

7 0
3 years ago
Read 2 more answers
Other questions:
  • What numbers have an absolute value of 2 1/2
    7·1 answer
  • ***urgent***
    11·1 answer
  • Help please..................
    7·2 answers
  • Thomas wants to put a fence around a rectangular garden that is 12 feet long and 7 feet wide. How much fencing will he need?
    7·2 answers
  • What is 55% of 125? Provide the steps you used to get your answer.
    8·2 answers
  • Decide which is the better value based on the unit prices. ( show your work).
    8·1 answer
  • If the simple interest on $4000 for 9 years is $1800, then what is the interest rate.
    14·2 answers
  • A student is writing a research paper and must include sources from both magazines and books.
    10·1 answer
  • Which ordered pairs are solutions for 4x + 2y = 14? Choose all that apply. A) (-1,9) J) (4,0) C) (1,5) D) (3, 19) E (0,2)​
    13·1 answer
  • Find the MEDIAN of his test scores.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!