How to solve for w in V = lwh
2 answers:
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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,
The angles shown are supplementary, it means when we add them together, they add up to 180°:
Add like terms:
Divide both sides by 6 in order to isolate x:
The exterior angle is:
The interior angle is:
or
Add like terms:
Divide both sides by 6 in order to isolate x:
The exterior angle is:
The interior angle is:
or