The correct answer is: 2/5.
Explanation:
First you have to add the following expressions:
![(\frac{3}{5}+\frac{1}{5}i)+(\frac{4}{5}-\frac{2}{5}i) \\ (\frac{3}{5}+ \frac{4}{5})+(\frac{1}{5}i-\frac{2}{5}i) \\= \frac{7}{5}-\frac{1}{5}i](https://tex.z-dn.net/?f=%28%5Cfrac%7B3%7D%7B5%7D%2B%5Cfrac%7B1%7D%7B5%7Di%29%2B%28%5Cfrac%7B4%7D%7B5%7D-%5Cfrac%7B2%7D%7B5%7Di%29%20%5C%5C%20%28%5Cfrac%7B3%7D%7B5%7D%2B%20%5Cfrac%7B4%7D%7B5%7D%29%2B%28%5Cfrac%7B1%7D%7B5%7Di-%5Cfrac%7B2%7D%7B5%7Di%29%20%5C%5C%3D%20%5Cfrac%7B7%7D%7B5%7D-%5Cfrac%7B1%7D%7B5%7Di)
Now subtract the above expression from
:
![(\frac{9}{5}- \frac{1}{5}i) - (\frac{7}{5} -\frac{1}{5}i) \\ (\frac{9}{5} -\frac{7}{5}) + (\frac{1}{5}i -\frac{1}{5}i) \\ \frac{2}{5} \\](https://tex.z-dn.net/?f=%28%5Cfrac%7B9%7D%7B5%7D-%20%5Cfrac%7B1%7D%7B5%7Di%29%20-%20%28%5Cfrac%7B7%7D%7B5%7D%20-%5Cfrac%7B1%7D%7B5%7Di%29%20%5C%5C%20%28%5Cfrac%7B9%7D%7B5%7D%20-%5Cfrac%7B7%7D%7B5%7D%29%20%2B%20%28%5Cfrac%7B1%7D%7B5%7Di%20-%5Cfrac%7B1%7D%7B5%7Di%29%20%5C%5C%20%5Cfrac%7B2%7D%7B5%7D%20%5C%5C)
Hence the correct answer is 2/5.
That is 2 of the y^2
that means 2y^2 aka 2 times y^2
The answer would be 1$. 10-3 (to steve) =7
7-6 (to anderson) = 1
Chen checked the temperature 14 times at dawn and at dusk
The <em>trigonometric</em> function that represents the curve seen in the picture is f(x) = 4.5 · sin (π · x / 2 - π) - 6.5.
<h3>How to derive a sinusoidal expression</h3>
In this problem we need to find a <em>sinusoidal</em> expression that models the curve seen in the picture. The most typical <em>sinusoidal</em> model is described below:
f(x) = a · sin (b · x + c) + d (1)
Where:
- a - Amplitude
- b - Angular frequency
- c - Angular phase
- d - Vertical midpoint
Now we proceed to find the value of each variable:
Amplitude
a = - 2 - (-6.5)
a = 4.5
Angular frequency
b = 2π / T, where T is the period.
0.25 · T = 4 - 3
T = 4
b = 2π / 4
b = π / 2
Midpoint
d = - 6.5
Angular phase
- 2 = 4.5 · sin (π · 4/2 + c) - 6.5
4.5 = 4.5 · sin (π · 4/2 + c)
1 = sin (2π + c)
π = 2π + c
c = - π
The <em>trigonometric</em> function that represents the curve seen in the picture is f(x) = 4.5 · sin (π · x / 2 - π) - 6.5.
To learn more on trigonometric functions: brainly.com/question/15706158
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