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Rashid [163]
3 years ago
8

What's (8 + 3i)(3 + 5i).

Mathematics
1 answer:
gtnhenbr [62]3 years ago
7 0
Hello there!

(8 + 3i)(3 + 5i)

We must distribute each number/variable to the others in the opposite parenthesis.

8(3 + 5i) = 24 + 40i
3i(3 + 5i) = 9i + 15i^{2}

Combine like-terms.
40i + 9i = 49i.

Now, put your simplified answer in Standard Form;
15i^{2} + 49i + 24

This is your answer.

I hope this helps!
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3 years ago
PLEASE SHOW YOUR WORK.
schepotkina [342]

Answer:

a) Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7

b) The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as

98 square feet

Step-by-step explanation:

The area in, square feet, of Shawn’s garden is found be calculating 15(2x + 7). Shawn incorrectly says the area can also be found using the expression 30x + 7.

The correct area =

15(2x + 7).

= 30x + 105 square feet

The error in Shawn’s expression is

= 15(2x + 7)

= 30x + 7 square feet

Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7

The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as

30x + 105 square feet - 30x + 7 square feet

= 30x + 105 - (30x + 7)

= 30x - 30x + 105 - 7

= 98 square feet

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