Answer:
2.0 seconds
Step-by-step explanation:
<u>Given quadratic functions</u>:

To find the time, in seconds, that the balloons collided at the highest point, <u>substitute</u> one equation into the other equation and rearrange to <u>equal zero</u>:

<u>Factor</u> the quadratic:

Apply the <u>zero-product property</u> to solve for x:


Therefore, the balloons collided at 1 second and 2 seconds.
To find at which time the highest point of collision occured, substitute both values of x into one of the functions:


Therefore, the time, in seconds, that the balloons collided at the highest point is 2.0 seconds.
Learn more about quadratic systems of equations here:
brainly.com/question/27930827
<span>. 49a2/81b2
I think the answer is B)</span>
This is what the graph of in(x) looks like
9514 1404 393
Answer:
y -1 = -1(x -2)
Step-by-step explanation:
The slope of the line through the two points can be found from the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (5 -1)/(-2 -2) = 4/-4 = -1
The point-slope equation for a line through point (h, k) with slope m is ...
y -k = m(x -h)
You have (h, k) = (2, 1) and m = -1. Putting these values into the form gives ...
y -1 = -1(x -2)
_____
<em>Additional comment</em>
Your problem statement already has two of the three values filled in, so you only need to enter the x-coordinate of the first point: 2.