$\dfrac{8}{2+2i}=\dfrac{8}{2(1+i)}=\dfrac{4}{1+i}=\dfrac{4}{1+i}\cdot\dfrac{1-i}{1-i}=\dfrac{4(1+i)}{1^2-i^2}\\\\=\dfrac{4(1+i)}{1-(-1)}=\dfrac{4(1+i)}{1+1}=\dfrac{4(1+i)}{2}=2(1+i)=2+2i\\\\Used:\\(a-b)(a+b)=a^2-b^2\\\\i=\sqrt{-1}\to i^2=-1$

5 0

2 years ago

A newspaper delivery person earns $75 each day plus $0.10 per paper delivered.Which equation shows the daily earnings of a deliv

Kitty [74]

N=amount of newspapers delivered. $75+0.10n

5 0

2 years ago

Find the length of CD to the nearest tenth of a meter will give brainliest

anygoal [31]

Answer:

Step-by-step explanation:

5 0

2 years ago

Square root of 87 to the nearest 10th

kogti [31]

Answer:

9.3

Step-by-step explanation:

Step 1: Calculate. We calculate the square root of 87 to be: √87 = 9.32737905308882.

Step 2: Reduce. 9.32.

Step 3: Round. Round 9.32 so you only have one digit after the decimal point to get the answer: 9.3.

3 0

2 years ago