Answer: if you had a circle of radius r, then the 2*radius is equal to the diagonal of the square. So the length of the side is calculated from the Pythagorean theorem since squares have right triangles in them: (2r)^2=2(l^2). Sqrt(2*r^2)=l where l is the length of the side of the square.
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
We need to follow PEMDAS
15+3*2
We need to multiply first
3*2 = 6
Then we add
15+6
21
An example of a trig function that includes multiple transformations and how it is different from the standard trig function is; As detailed below
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How to interpret trigonometric functions in transformations?</h3>
An example of a trigonometric function that includes multiple transformations is; f(x) = 3tan(x - 4) + 3
This is different from the standard function, f(x) = tan x because it has a vertical stretch of 3 units and a horizontal translation to the right by 4 units, and a vertical translation upwards by 3.
Another way to look at it is by;
Let us use the function f(x) = sin x.
Thus, the new function would be written as;
g(x) = sin (x - π/2), and this gives us;
g(x) = sin x cos π/2 - (cos x sin π/2) = -cos x
This will make a graph by shifting the graph of sin x π/2 units to the right side.
Now, shifting the graph of sin xπ/2 units to the left gives;
h(x) = sin (x + π/2/2)
Read more about Trigonometric Functions at; brainly.com/question/4437914
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Answer:
Slope= 2 / 10 = 1 / 5 = 0.2
y-intercept= (0, -4/5) or (0, -0.8)
Step-by-step explanation:
Answer:
f(x) + 2 is translated 2 units up and -(1/2)*f(x) is reflected across x-axis.
Step-by-step explanation:
We have f(x) becomes f(x) + 2.
The y-intercept of f(x) is f(0), implies that y-intercept of f(x) + 2 is f(0) + 2. This means that the graph of f(x) is translated 2 units upwards.
Moreover, the region where f(x) increases will be the same region region where f(x) + 2 increases and there will not any change in the size of the figure.
Now, we have f(x) becomes -(1/2)*f(x).
The y-intercept of -(1/2)*f(x) is -(1/2)*f(0). This means that the graph is dilated by 1/2 units and then reflected across x-axis.
Moreover, the region where f(x) increases will be the opposite region region where -(1/2)*f(x) increases and the size of the figure will change as dilation of 1/2 is applied to f(x)
