A hiker is walking down a mountain. She walked 5,978 feet in 17 minutes. In that time, she descended 1,024 feet from the top
1 answer:
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Substitute this into the parabolic equation,
We're told the line intersects
twice, which means the quadratic above has two distinct real solutions. Its discriminant must then be positive, so we know
We can tell from the quadratic equation that has its vertex at the point (3, 6). Also, note that
and
so the furthest to the right that extends is the point (5, 2). The line
passes through this point for
. For any value of
, the line
passes through
either only once, or not at all.
So ; in set notation,
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.