Answer:
1/4
Step-by-step explanation:
Answer:

The vertex form for a parabola is given by this expression:

By direct comparison we see that for this case:

And we know from the general expression that the vertex is:

So then the vertex for this case is:

Step-by-step explanation:
For this case we have the following function:

And we need to take in count that the vertex form for a parabola is given by this expression:

By direct comparison we see that for this case:

And we know from the general expression that the vertex is:

So then the vertex for this case is:

The sine of 30° is 0.5 .
Angles don't have y-values, and neither do their sines. But
IF you draw a graph of the sine function, AND the angles
(the independent variable) are marked off on the x-axis of
the graph, AND the value of the sine function of each angle
(the dependent variable) is marked off on the y-axis of the
graph, THEN the y-value corresponding to the angle of 30°
would be displayed as 0.5 .
The conversion is
x = magnitude × cos(angle)
y = magnitude × sin(angle)
or
(x, y) = 120.2(cos(119°), sin(119°)) ≈ (-58.27, 105.13)
_____
A suitable graphing calculator handles this easily.
The tangents are equal length, so
.. 8x = x^2
We presume their length is not zero, so we can divide by x to get
.. 8 = 2x
.. 4 = x
Then the length of each tangent is 8*4 = 32 units.