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nasty-shy [4]
3 years ago
15

Simplify

alt=" \frac{4}{2 + i} " align="absmiddle" class="latex-formula">

Mathematics
1 answer:
skad [1K]3 years ago
6 0
Hey! Apologies that I can’t make this look nice because I’m on mobile.

To simplify this, we can multiply the denominator by its conjugate. For a imaginary function (a+bi), its conjugate would be (a-bi), so we can apply that here to multiply both sides by (2-i)/(2-i). This works because it simplifies to one. Then, we have our fraction as 4*(2-i)/((2-i)(2+i))=(8-4i)/(4-i^2)=(8-4i)/5

Feel free to ask further questions, and have a great rest of your day!
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4 0
3 years ago
Clara has 8 coins worth 17¢. if the coins are all dimes and pennies, how many dimes and pennies does she have?
Sliva [168]
Let x = the number of dimes
Let y =  the number of pennies.

There are 8 coins, therefore
x + y = 8        (1)

The coins are worth 17 cents, therefore
10x + y = 17     (2)

Subtract equation (1) from equation (2).
10x + y - (x + y) = 17 - 8
9x = 9
x = 1

From (1), obtain
y = 8 -x = 8 - 1 = 7

Answer: 1 dime, 7 pennies.

4 0
3 years ago
Read 2 more answers
Combime like terms to create an equivalent expression -2.5(4x-3)​
Ann [662]

Answer: -10x+7.5

Step-by-step explanation:

First multiply -2.5(4x)= -10x and then -2.5x-3= 7.5 it should be -10x+7.5

3 0
3 years ago
What is the solution to this equation? x + (- 14) = 4. (A) x = 10. (B) x = - 10. (C) x = - 18. (D) x = 18
Vika [28.1K]
First, you want to get x by itself on one side. We write the equation as x-14=4. Since 14 is being subtracted from x, we add it to both sides to cancel it out, x-14+14=4+14 or x=18.

Your answer would be D.

4 0
3 years ago
8a - 7b + 2a - 4b Please include the steps on how to solve it.
Troyanec [42]

Answer:

10a-11b is ur answer

Step-by-step explanation:

combine like terms

8a+2a=10a

-7b-4b=-11b

(always make sure to but in alphabetic order)

10a-11b

hope this helps

6 0
3 years ago
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