
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:
The statement is always TRUE
Step-by-step explanation:
An equilateral triangle has all angles and all sides equal
The sum of angles in a triangle is 180 degrees.
Let each of the angles be x degrees.
Then we solve the following equation for x.



I'm pretty sure its the second one
Step-by-step explanation:
hope it's helpful to you ☺️