Answer:
<h2>
-7</h2>
Step-by-step explanation:
(7/8)(-1/6)(-7)(-1/14)=
-14(-7)(-1/14) =
98(-1/14)=
-7
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
#SPJ1
Answer:
Step-by-step explanation:
You can multiply on the upper and bottom part by the same number without changing the fraction so 
Both sides equal each other. Do you want to know how?
√(4 + 16 + 16√3 + 12) = 4√(2 + √3)
Surd Rule: Numbers with the same surd can be added together. Therefore, all whole integers can be added together.
√(4 + 16 + 16√3 + 12)
√((4 + 16 + 12 )+ 16√3 ) =
√(32 + 16√3)
Simplify by Factorising the common factor - 16
√(32 + 16√3) ÷ 16
√(16 (2 + √3))
Square root 16. This is because it is a not a surd because it is not in it's simplest form.
√16 = 4
√4 (2 + √3)
