Circle O shown below has a radius of 42 units.
1 answer:
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Answer:
h(d)= -2d^2 +4d +6
Step-by-step explanation:
Vertex (1,8)
Landing Point (3,0)
Applying the vertex formula, a quadratic equation can be described by its vertex v(x,y) as follows:
Since the vertex in this situation is at v (1,8):
To solve for 'a', apply the other given point (landing point) into the equation:
Expanding the equation yields:
<h3>Answer:</h3>
x/tan(x) is an even function
sec(x)/x is an odd function
<h3>Explanation:</h3><em>x/tan(x)</em>
For f(x) = x/tan(x), consider f(-x).
... f(-x) = -x/tan(-x)
Now, we know that tan(x) is an odd function, so tan(-x) = -tan(x). Using this, we have ...
... f(-x) = -x/(-tan(x)) = x/tan(x) = f(x)
The relation f(-x) = f(x) is characteristic of an even function, one that is symmetrical about the y-axis.
_____
<em>sec(x)/x</em>
For g(x) = sec(x)/x, consider g(-x).
... g(-x) = sec(-x)/(-x)
Now, we know that sec(x) is an even function, so sec(-x) = sec(x). Using this, we have ...
... g(-x) = sec(x)/(-x) = -sec(x)/x = -g(x)
The relation g(-x) = -g(x) is characeristic of an odd function, one that is symmetrical about the origin.