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
The center is (-1, -2) and the radius of the circle is 5.
<h3>What is the equation of a circle?</h3>
The circle equation formula refers to the equation of a circle which represents the center-radius form of the circle.
A circle can be represented as;

Where; h and k are the center of the circle r is the radius of the circle.
The given equation of the circle is;

Comparing both the equations;

Hence, the center is (-1, -2) and the radius of the circle is 5.
Learn more about circle here;
brainly.com/question/11833983
#SPJ2
Answer:
Step-by-step explanation:
well... all the least common factor have to write in the increasing order.
So, following this picture, we have to write in this order:
2 x 2 x 2 x 3 x 5
Answer:
D
Step-by-step explanation:
40x - 8y + 24 = 0
-8y = -40x - 24
y = 5x + 3
Answer:
e. 1 / 16
f . 1 / 9
Step-by-step explanation:
e.
( 1 / 2 )^4
= 1 / 2^4
= 1 / 16
f.
( 1 / 3 )^2
= 1 / 3^2
= 1 / 9