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Gennadij [26K]
3 years ago
7

Find the product. (8 − 3i)(5 − 2i)

Mathematics
1 answer:
Delicious77 [7]3 years ago
7 0

Answer:

34 - 31i

Step-by-step explanation:

first, distribute to get 40 - 16i - 15i + 6i^2. i^2 = -1 so 6(-1) is -6. simplify to get 34 -31i

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3 years ago
1) State the amplitude, period, phase shift, vertical shift and graph
bogdanovich [222]

Answer:

See answers and explanations below (along with a visual graph)

Step-by-step explanation:

For the function y=acos(b(x+c))+d:

Amplitude: |a|

Period: \frac{2\pi}{|b|}

Phase shift: \frac{-c}{b}

Vertical shift: d

Therefore, for y=2cos(\frac{2}{3}(\theta+\pi))-1:

Amplitude: |a|=|2|=2, which is 2 units above and below the midline (see d)

Period: \frac{2\pi}{|b|}=\frac{2\pi}{|\frac{2}{3}|}=\frac{2\pi}{\frac{2}{3}}=3\pi, so the cycle will repeat every 3π units

Phase shift: \frac{-c}{b}=\frac{-\frac{2\pi}{3} }{\frac{2}{3} }=-\pi, or π units to the left

Vertical shift: d=-1, or 1 unit down

3 0
2 years ago
Kayla has 18 bottles of bubbles. She wants to give 2 bottles to each of her 6 friends. How many bottles will she have left over?
FrozenT [24]

Answer:

6

Step-by-step explanation:

You started with 18 and you multiply 6×2 and you get 12 able your answer is 6 I believe. sorry if I'm wrong

3 0
2 years ago
Read 2 more answers
A first-aid booth is located 3/4 of the distance from point A to point B. At what marker on the path is the first-aid booth loca
Anastaziya [24]

3/4*8= 24/4= 6 this is 3/4 the distance between point a and b

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2 years ago
In △ABC, m∠A=27°, c=14, and m∠B=25°. Find a to the nearest tenth.
Alenkinab [10]

Answer:

8.1

Step-by-step explanation:

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2 years ago
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