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ZanzabumX [31]
3 years ago
10

Simplify the expression (3 - 4i)(1 + 5i) - (2 - i). Show your work please! I have the answer: 21 + `12i but I need to show my wo

rk, thank you!
Mathematics
1 answer:
masha68 [24]3 years ago
8 0

Answer:

21+12i i hope this will help you

Step-by-step explanation:

(3-4i)(1+5i)-(2-i)

=[3(1+5i)-4i(1+5i)]-(2-i)

=[3+15i-4i-20i²]-(2-i)

=(3+11i-20i²)-(2-i)

opening brackeys

=3+11i-20i²-2+i

=3+11i+1i-20i²-2

as we know that i²=-1

=3-20(-1)-2+12i

=3+20-2+12i

=21+12i

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Need help ASAP !!!!!
Flura [38]

Answer:

10

Step-by-step explanation:

12x + 20+40 = 180

12x = 120

X = 10

6 0
3 years ago
Find the missing side length. Show all work.<br> first right answer with right work gets 500 points
leva [86]

Answer:

x=14 \tan 61^{\circ}

Step-by-step explanation:

\tan 61^{\circ}=\frac{x}{14} \\ \\ x=14 \tan 61^{\circ}

4 0
1 year ago
Jackson says has an odd number of model cars.he has 6 cars on one shel and 8 cars on another shelf.is jackson correct?explain
grigory [225]
No. It's rather simple, down to addition. Ask yourself, what does 6 + 8 equal? 6 + 8 = 14. Now is this an odd number? No, 14 is an even number.

I hope this helps! If not I'm sorry. 
4 0
3 years ago
Which is the best first step when solving the following system of equations? x + y = 3. 4 x minus y = 7. Multiply the first equa
Kryger [21]

Answer:

Multiply the first equation by 4.

Step-by-step explanation:

4(x+y=3) which gives

4x+4y=12

and

4x-y=7

Then subtract the two equations and the x variable will be eliminated.

6 0
3 years ago
Read 2 more answers
The hire purchase price of a fridge is 16400. 25% is paid as deposit, the rest is spread over 12 equally monthly instalments. If
Flauer [41]

Answer: a. 13120

b. 4100

c. 1025

d. 3280

Step-by-step explanation:

(a) find the costs price of the fridge

Since the cash price is 20% less the hire purchase price, then the cost of the fridge will be:

= (100% - 20%) × 16400

= 80% × 16400

= 0.8 × 16400

= 13120

(b) calculate the deposit

Since 25% is paid as deposit, the deposit will be:

= 25% × 16400

= 0.25 × 16400

= 4100

(c) what is the monthly installments

Monthly installments will be:

= (16400 - 4100)/12

= 12300/12

= 1025

(d) what is the differences between the cash price and the hire purchase price.

This will be:

Hire purchase price = 16400

Cash price = 13120

= 16400 - 13120

= 3280

3 0
3 years ago
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