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Answer:
<h2>Side YZ is 8 units long.</h2>Step-by-step explanation:
We can deduct form the graph that segment WO is a radius of the circle and XY is its diameters.
By given, we know that , which means
, by radius definition.
An important characteristic of tangents about circles is that the tangent is always is perpendicular to the radius, that means and
is a right triangle, that means we can use Pythagorean's Theorem to find the side YZ.
Where is the hypothenuse and
,
are legs of the triangle.
Replacing all given values, we have
However, by sum of segments, we have
, where
and
Therefore, side YZ is 8 units long.
We have
and
so the equation is indeed exact. So we want to find a function such that
Integrating both sides of the first equation wrt gives
Differentiating both sides wrt gives
So we have
or