Answer:
Option B.
Step-by-step explanation:
Option A. "The line constructed through point P that is parallel to line B."
Since parallel lines never intersect each other, a line intersecting line AB at point P will not be parallel.
Therefore, Option (A) is incorrect.
Option (B). "The line constructed through point P that is perpendicular to line AB."
Since the angle between line AB and a line constructed through point P has been given as 90°, line through point P will be perpendicular to AB.
Therefore, Option (B) is the answer.
Option C. "The line constructed through point P that intersects line AB at two different points."
Since, two perpendicular lines intersect each other at only one point, the line constructed from point P will not intersect line AB at two different points.
Therefore, Option C is not correct.
Is there a diagram I can look at?
Answer:
I think it should be 5y+24
Your doing everything correctly
Part A)The given equation is:

The radicand or discriminant(d) of the equation will be:

Since the discriminant is equal to 0, the given quadratic equation has only 1 root. In other words we can say the the given equation is a perfect square.
Part B)The given equation is:

We can solve this expression by factorization. Factors of middle term are to be made in such a way that their product equals the product of first and third term and sum is equal to the middle term i.e. product should be 4x² and sum should be -4x.
So the two such terms are -2x and -2x. Using the factors and simplifying the equation by taking common we get: