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Neko [114]
3 years ago
7

​(3 + 2i) + (4 – 5i) solve the equation .

Mathematics
1 answer:
tiny-mole [99]3 years ago
7 0

Answer:

7 - 3 i

Step-by-step explanation:

Simplifying

(3 + -2i) + (4 + -5i) = 0

Remove parenthesis around (3 + -2i)

3 + -2i + (4 + -5i) = 0

Remove parenthesis around (4 + -5i)

3 + -2i + 4 + -5i = 0

Reorder the terms:

3 + 4 + -2i + -5i = 0

Combine like terms: 3 + 4 = 7

7 + -2i + -5i = 0

Combine like terms: -2i + -5i = -7i

7 + -7i = 0

Solving

7 + -7i = 0

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Add '-7' to each side of the equation.

7 + -7 + -7i = 0 + -7

Combine like terms: 7 + -7 = 0

0 + -7i = 0 + -7

-7i = 0 + -7

Combine like terms: 0 + -7 = -7

-7i = -7

Divide each side by '-7'.

i = 1

Simplifying

i = 1

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Seven times a number decreased by three-fourths of the same number is 25. What is the number?
Tomtit [17]

Answer:

103/28

Step-by-step explanation:

Let the number be 'x'

Equation:-

7x - 3/4 = 25

7x = 25 + 3/4

7x = 100/4 + 3/4

7x = 103/4

x = 103/(4 x 7)

x = 103/28

5 0
3 years ago
Read 2 more answers
1. A sum of money is shared among Jessica, Amanda, and Beverly in the ration 8:9:3
astra-53 [7]

Answer:

$200

Step-by-step explanation:

Amanda       Beverly

     9         :       3

difference between Amanda and Beverly = 9 - 3 = 6 portions.

∴ value of 6 portions = $60

   value of 1 portion  =  $ 60 / 6

                                  = $10

Total no. of portions = 8 + 9 + 3 = 20

Total sum of money to be shared = value of 1 portion x Total no. of portions

                                                         = $10 x 20

                                                         = <u>$200</u>

8 0
2 years ago
Just please help me I will give branliyest
alex41 [277]

Answer:

A

Step-by-step explanation:

because proportion is right vertical

6 0
3 years ago
PLZZZZZZ HELP MEEEE #HELP ​
Kryger [21]
-28.403 i believe that’s right but idk
7 0
3 years ago
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A boat can travel 456 miles on 114<br> gallons of gasoline. How far can it<br> travel on 67 gallons?
Ede4ka [16]

Answer:

268 miles i think

Step-by-step explanation:

if 456=114 gallons

456/114=4

so 4 miles per gallon

and then

4*67=268

Hope this helps: )

3 0
3 years ago
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