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3 years ago

What is the product of 3+2i and 3-2i?

Mathematics

1 answer:

Cloud [144]3 years ago

6 0

Step-by-step explanation:

$(3 + 2i)(3 - 2i) \\ \\ = {3}^{2} - {(2i)}^{2} \\ \\ = 9 - 4 {i}^{2} \\ \\ = 9 - 4( - 1).. ( \because \: {i}^{2} = - 1) \\ \\ = 9 + 4 \\ \\ = 13 \\ \\ \therefore \: (3 + 2i)(3 - 2i) = 13$

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An ice cube is made of 5 fluid ounces of water. About how many milliliters of water does it take to make an ice cube

ratelena [41]

Answer:

$147.868$

Step-by-step explanation:

1. Lets transfer ounces ⇄ to Millimeters.

$29.5735milliliters$

2. Lets multiply.

$5 x 29.5735$ is: $147.868$ .

Hope this helps :)

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3 years ago

Read 2 more answers

Speedometer has a percent error of 10%. The actual speed of the car is 40 mph.

gulaghasi [49]

Answer = 36.0 mph

As per the question,

Actual speed of the car = 40 mph.

Speedometer has a percent error of 10%.

The error can be negative as well as positive.

If the error is negative, it means speedometer is showing less speed than actual speed= - 10%

10 % of 40 = 4

speed shown by speedometer = 40 - (10% of 40) = 36 mph

If the error is positive, it means speedometer is showing more speed than actual speed = +10%

speed shown by speedometer = 40 + ( 10% of 40) = 44 mph

as per the given options, correct option is 36.0 mph

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3 years ago

Read 2 more answers

Simplify the following 7 times the square root of 54 - 2 times the square root of 24

EleoNora [17]

The first step for solving this problem is to simplify the radical
7 $\sqrt{54 - 2}$ x 2√6
Calculate the product
14 $\sqrt{(54 - 2) X 6}$
Subtract the numbers
14 $\sqrt{56 x 6}$
Simplify the radical
14 x 2 $\sqrt{13 x 6}$
Multiply the numbers
14 x 2√78
Finally,, calculate the product for your final answer
28√78
Let me know if you have any further questions
:)

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4 years ago

The pizza has been divided into 12 equal slices. Sophia ate 25% of the pizza. Which fraction represents the part of the pizza so

Anastasy [175]

Answer:

3/12

Step-by-step explanation:

12/12 x 0.25 = 3/12

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3 years ago

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Tatiana [17]

The answer would be 188.1

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2 years ago