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Gnesinka [82]
3 years ago
6

Simplify the expression to a + bi form: (3 - 2i)(-10 - 7i)

Mathematics
2 answers:
just olya [345]3 years ago
8 0

Answer:

-44-i

Step-by-step explanation:

(3-2i)(-10-7i)

-30+20i-21i+14i^2 where i^2=-1

-30-i+14(-1)

-30-i-14

-30-14-i

-44-i

Please mark me as Brainliest if you are satisfied with the answer.

MAXImum [283]3 years ago
4 0

Answer:

(3 - 2i)( - 10 - 7i) \\  =  - 30 - 21i + 20i + 14 {i}^{2}  \\  =  - 30 - i - 14 \\  =  - 44 - i

I hope I helped you^_^

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Step-by-step explanation:

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2 years ago
Using the distance formula, d = √(x2 - x1)2 + (y2 - y1)2, what is the distance between point (-10, 12) and point (5, 3) rounded
Whitepunk [10]

Answer:

<h3>The answer is 17.5 units</h3>

Step-by-step explanation:

Using the distance formula

<h3>d =  \sqrt{ ({x2 - x1})^{2} +  ({y2 - y1})^{2}  }</h3>

the distance between (-10, 12) and (5, 3) is

<h3>d =  \sqrt{ ({5 + 10})^{2}  +  ({3 - 12})^{2} }</h3><h3>d =  \sqrt{ {15}^{2}  + ( { - 9})^{2} }</h3><h3>d =  \sqrt{225 + 81}</h3><h3>d =  \sqrt{306}</h3><h3>d = 3 \sqrt{34}</h3>

d = 17.492855

We have the final answer as

<h3>d = 17.5 units to the nearest tenth</h3>

Hope this helps you

4 0
3 years ago
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