The answer is HL. HL is a theorem stating that if the hypotenuse and one leg are congruent to another pair of hypotenuse and leg then the triangles themselves are congruent. Hope this helps.
The value of such that the line is tangent to the parabola is .
If is a line <em>tangent</em> to the parabola, then we must observe the following condition, that is, the slope of the line is equal to the <em>first</em> derivative of the parabola:
(1)
Then, we have the following system of equations:
(1)
(2)
(3)
Whose solution is shown below:
By (3):
(3) in (2):
(4)
(4) in (1):
The value of such that the line is tangent to the parabola is .