Answer:
<2 ≅<4 with reason of vertical angle theorem.
Step-by-step explanation:
The vertical angle theorem states that two opposite (non-adjacent) angles formed by 2 intersecting lines have equal measure. In this problem, we are given that the angles are vertical angles. So the statement is that <2 ≅<4 with reason of vertical angle theorem.
For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis.
According to the data of the statement we have the following points:

We found the slope:

Thus, the equation is of the form:

We substitute one of the points and find b:

Finally, the equation is:

Answer:

Answer:
d
Step-by-step explanation:
Answer:
f(2) = 12
Step-by-step explanation:
f(x = −x^2 + x + 14
Plug in:
f(x) = −2^2 + 2 + 14
Solve:
f(x) = −2^2 + 2 + 14
f(x) = -4 + 2 + 14
f(x) = -2 + 14
f(x) = 12
Hope this helped.
The equation is y^2=16x and the directrix is x=-4