It's the option D, the reflection doesn't change y coordinate

Step-by-step explanation:
We start by applying the Pythagorean theorem to the ladder, with its length L as the hypotenuse:

where x is the vertical distance from the top of the ladder to the ground and y is the horizontal distance from the bottom of the ladder to the wall. Taking the derivative of the above expression with respect to time, we get

Solving for dx/dt, we get

We know that

when x = 6 ft. So the rate at which the top of the ladder is going down is


The negative sign means that the distance x is decreasing as y is increasing.
In order to have average 80 score from 5 tests, student needs to have 400 points (80%*500=0.8*500=400)
So far he has 63+72+88+91= 314
400-314=86
He needs to get 86 points from the last test.
Since he is obviously getting better at tests, i think he'll manage :)
Answer:
the vertex is (1,2)
Step-by-step explanation:
the vertex is the point where the graph starts or opens from.