$(a+bi)^2 =(a+bi)(a+bi)= a^2 +2abi+b^2 i^2 \\ \\ i^2 = -1 \\ \\ (a+bi)^2 = a^2-b^2 +2abi = 2abi \\ \\ a^2 -b^2 = 0 \\ \\ a^2 = b^2 \\ \\ a = b$

For the statement to be true, 'a' and 'b' must be equal

*First expand the binomial using FOIL, then set it equal to whats given "2abi".
Then you can find the relationship between a and b.

6 0

3 years ago

One of the great mysteries of the world is my hotdogs and hotdog buns come in packages of different sizes hotdogs come in packs

V125BC [204]

Answer:

3 pack of hot dogs and 2 pack of buns 24

Step-by-step explanation:

hot dogs come in packs of 8

burns came in packs of 12

what is the least number of each you can buy in order to have a equal number of hot dogs and buns

so to get equal number

we have to look for the LCM of 8 and 12 = 24

therefore the packs will be equal to product

hot dogs come in packs of 8 = 8*3 = 24

burns came in packs of 12 = 12 *2 = 24

therefore, 3 pack of hot dogs and 2 pack of buns 24

7 0

3 years ago

The price of a microwave oven went up from $75 to $90; then went on sale for $57. What is the percent decrease from the original

Arisa [49]

Answer:

<u>The percent decrease of the microwave from the original price to the sale price is 24%</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Original price of a microwave = $ 75

Mark-up price of the microwave = $ 90

Sale price of the microwave = $ 57

2. What is the percent decrease from the original price to the sale price?

For answering this question we will use the Direct Rule of Three this way:

Price Percentage

75 100%

57 x

75x = 57 * 100

75x = 5,700

x = 5,700/75

x = 76

76 = 100 - 24

<u>The percent decrease of the microwave from the original price to the sale price is 24%</u>

5 0

4 years ago

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