Answer:
The bird will be at a ground distance of 10.04 units away.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:

It's vertex is the point 
In which


Where

If a<0, the vertex is a maximum point, that is, the maximum value happens at
, and it's value is
.
Equation for the height:
The height of the bird after x seconds is given by:

Which is a quadratic equation with
.
When the bird is at its highest?
Quadratic equation with
, and thus, at the vertex. The ground distance is the x-value of the vertex. Thus

The bird will be at a ground distance of 10.04 units away.
Answer:
125
Step-by-step explanation: 8000 divided by 2 is 4000. So they paid 4000 in the first month. You do that same equation 6 times dividing the remainder by 2 each time.
For this case, the first thing to do is find the equation of the line correctly and then see which of the inequalities represents the shaded region.
We have then:
5x - y = 2
For x = 0
5 (0) - y = 2
-y = 2
y = -2
For y = 0
5x - 0 = 2
5x = 2
x = 2/5 = 0.4
Therefore the line is:
5x - y = 2
Then, we see that for the point (0, 0)
5x - y ≥ 2
5 (0) - (0) ≥ 2
0 ≥ 2
The inequality is not met, which is correct because this point is not part of the shaded region.
Answer:
The inequality that best is represented by the graph if:
5x - y ≥ 2
The rise & run for ΔABC is 1 and 3.
The slope is 1/3 because it is rise over run.
For ΔDFA, the rise and run is 2 and 6.
2/6 is equal to 1/3, so the slope is constant.
Hope this helps!
Numbers that are already in order are predictable.
Example:1,2,3,4