Answer:
The mid-point of the given line segment is:(5.5,-6.5)
Step-by-step explanation:
let us consider two points A and B with coordinates (a,b) and (c,d) respectively.
let C be the mid point of A and B then then the coordinates of C is given by .
in the given question (a,b)=(9,-8) and (c,d)=(2,-5) so the mid point of these two points are =(5.5,-6.5)
Hence, the coordinates of the midpoint of the line segment with endpoints B(9,-8) and C(2,-5) is (5.5,-6.5).
Answer:
Choice B: .
Step-by-step explanation:
For a parabola with vertex , the vertex form equation of that parabola in would be:
.
In this question, the vertex is , such that
and
. There would exist a constant
such that the equation of this parabola would be:
.
The next step is to find the value of the constant .
Given that this parabola includes the point ,
and
would need to satisfy the equation of this parabola,
.
Substitute these two values into the equation for this parabola:
.
Solve this equation for :
.
.
Hence, the equation of this parabola would be:
.