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hammer [34]
3 years ago
15

(5+2 i)(4-3i) - (5-2yi)(4-3i) in a + bi form, where y is a real number.

Mathematics
1 answer:
ElenaW [278]3 years ago
5 0
<span>(5+2 i)(4-3i) - (5-2yi)(4-3i)

Factorize out (4 -3i)

(4 -3i)( (5 +2i) - (5 -2yi) )

=  </span><span><span>(4 -3i)(5 +2i - 5 + 2yi)</span>

=  </span><span><span>(4 -3i)(5 - 5 + 2i + 2yi)</span>

= (4 -3i)(2i + 2yi)

= (4 - 3i)(2 + 2y)i.    Let's multiply the first two.
</span>
(4 - 3i)(2 + 2y) = 2*(4 -3i) + 2y*(4 - 3i)           
                      =  8 - 6i + 8y - 6yi
                      =  8 + 8y - 6i - 6yi

(4 - 3i)(2 + 2y)i = (8 + 8y - 6i - 6yi)i                Note: i² = -1
                       =  8i  + 8yi - 6i² - 6yi²
                       =  8i  +  8yi - 6(-1) - 6y(-1)  
                       =  8i  +  8yi  + 6 + 6y
                       =  6 + 6y + 8i + 8yi
                       =  (6 + 6y) + (8 + 8y)i    In the form a + bi
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3 years ago
How do you solve 1-5+1×(4×4-31)×8
Alja [10]
Hey there!

In order to solve this, remember PEMDAS. First, start with solving whatever is in parentheses. Then, move on to exponents. Then, complete the multiplication and division. Lastly, add or subtract anything remaining. Omit any steps that aren't present. 

Parentheses: 

<span>1 – 5 + 1 × (4 × 4 – 31) × 8
</span>1 – 5 + 1 × (–15) × 8

Multiplication/Division (Left to Right):

1 – 5 + (–15) × 8
1 – 5 + (–120)
1 – 5 – 120

Addition/Subtraction (Left to Right):

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Your answer is –124. 

Hope this helped you out! :-)
5 0
3 years ago
Jackson is 5 years old. His brother Micah is 20 years older than him. Which equation represents Micah's age in comparison with J
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Answer:

M=5+20

Step-by-step explanation:

I’m using M for representing Micah’s age.

This would represent Micah’s age because it says that Micah is 20 years older than Jackson, who is 5. Therefore, you would just need to add 5 and 20 together. Micah is 25 years old.

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2 years ago
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Please help ASAP. Need it for homework
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Answer:

  Speedy Taxis

Step-by-step explanation:

I solved this by using a graphing calculator. Speedy Taxis shows the least cost for x=30.

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You can figure the cost of each for x=30

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Speedy Taxis is the cheapest for a trip of 30 miles.

6 0
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