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Answer:
1/2 (-sin2x - cos 2x)
Step-by-step explanation:
Distribute 1/2 to every term in the parentheses
The value of diameter for the given triangle inscribed in a circle will be 22.
<h3>What is a circle?</h3>
A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.
In our daily life, we always see circular objects for example our bike wheel.
The longest line which can be drawn inside the circle will be the diameter.
As per the given triangle inscribed a circle.
The length x +2 and 2x - 7 will be the radius of the circle and the sides of the triangle will be the tangent of the circle.
x + 2 = 2x - 7
2 = 2x - x - 7
x = 9
Thus, radius = 9 + 2 = 11
Diameter = 11 x 2 = 22 units.
Hence "The value of diameter for the given triangle inscribed in a circle will be 22".
To learn more about the circle,
brainly.com/question/266951
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ANSWER:
4th option: y = cosine (x + pi)
STEP-BY-STEP EXPLANATION:
For the function y = cosine (x), when x = 0, y = 1 and when x = , y = -1. The graph shows the opposite, when x = 0, y = -1 and when x = , y = 1, so we must add the same amount x = , for y to be positive 1.
So the equation of the graph would be:

The correct answer is then the 4th option y = cosine (x + pi)
Answer:
J. V = 12h cubic units
Step-by-step explanation:
Volume if a square pyramid = ⅓*a²*h
Where,
h = height = ?
a = edge = 6 in.
Plug in the values
Volume = ⅓*6²*h
V = ⅓*36*h
V = 12*h
V = 12h cubic units