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.
Short Answer: The first three are absolutely true. Congruency is maintained if all you are doing is shifting the figure 8 spaces away. Since the figures are congruent, their corresponding parts are equal and the statements made are always true. That's the guiding principle.
A is true. See the short answer.
B is True. You have gone 8 units away. The distance between the old G and the new one is 8 units. This is not a congruency property but it is true because it is given. You haven't altered the shape or rotatated it.
C is true by conguency. You have just shifted things 8 units. You have maintained equality and you have maintained distance between corresponding parts.
That leaves D. If the figures are regular, that will be true. If they are not regular, non corresponding external angles cannot be guaranteed to be true.
Answer:
C
Step-by-step explanation:
We know that function <em>h</em> represents an object's height in feet after <em>x</em> seconds.
In that case, option A) h(15) = 100 means that after 15 seconds, the object's height is 100 feet.
Option B) h(100) = 15 means that after 100 seconds, the object's height is 15 meters.
Therefore, neither A nor B are correct.
Option C) h(15) - h(0) = 100 means that between the zeroth and 15th second, their difference is 100 feet.
In other words, the object's height increased by 100 feet over the first 15-second period.
Option C is correct.
For Option D), it gives us the average rate of change. (h(15) - h(0)) / (15) = 100 means that for the first fifteen seconds, the height of the object increased at an average rate of 100 feet per second.
Using the discriminant, the quadratic equation that has complex solutions is given by:
x² + 2x + 5 = 0.
<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>
A quadratic equation is modeled by:
y = ax² + bx + c
The discriminant is:
The solutions are as follows:
- If
, it has 2 real solutions.
- If
, it has 1 real solutions.
- If
, it has 2 complex solutions.
In this problem, we want a negative discriminant, hence the equation is:
x² + 2x + 5 = 0.
As the coefficients are a = 1, b = 2, c = 5, hence:
More can be learned about the discriminant of quadratic functions at brainly.com/question/19776811
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