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
Answer:
x = - 80/17, or x = - 4 
Step-by-step explanation:
13x-11 +18×15+ 4x+1=180°
<=> (13x + 4x) + (18×15+ 1 - 11)=180°
<=> 17x + 260 =180
<=> 17x = 180 - 260
<=> 17x = - 80
<=> x = - 80/17
<=> x = - 4 
Ned must have scored an avg. of 14 points per game in his 6 games total.
-3 (x - 5) - 8 (y + 2) + (-3) (6 - 4b)
First, simplify your brackets. / Your problem should look like: -3 (x - 5) - 8 (y + 2) + -3 (6 - 4b)
Second, simplify. / Your problem should look like: -3 (x - 5) - 8 (y + 2) - 3 (b - 4b)
Third, expand your problem. / Your problem should look like: -3x + 15 - 8y - 16 - 18 + 12b
Fourth, simplify. / Your problem should look like: -3x - 8y + 12b - 19
Answer: -3x - 8y + 12b - 19 (D)
I answered this before and explained this but the answer is 3π I think. Hope this helps