Two water balloons were launched into the air at different moments and collided. The water balloons were modeled by the quadratic functions: y=-7x2 + 26x + 6 and
y=-6x2 + 25x + 4 where y represents the height in meters and x represents the time in seconds after the launch. What is the time in seconds that the balloons
collided at the highest point?
O 1.75 seconds
O 20 seconds
O2 25 seconds
O 2.5 seconds

Respuesta :

The time in seconds that the balloons collided at the highest point is; B: 2.0 seconds

What are quadratic equations?

We are told that the water balloons were modeled by the quadratic functions:

y = -7x² + 26x + 6 and y = -6x² + 25x + 4

where;

y = the height in meters

x = the time in seconds after the launch

The time at which they will collide has to be at the same height.

Thus;

-7x² + 26x + 6 = -6x² + 25x + 4

Rearranging this gives;

x² - x - 2 = 0

Using online quadratic equation solver gives us x = 2 or -1. We will take the positive one as x = 2.0 seconds

Read more about quadratic equations at; https://brainly.com/question/1214333

Answer:

the answer is 2.0 seconds

Step-by-step explanation:

I just took the test:)