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:
Step-by-step explanation:
Divide the figure into a rectangle and a triangle.
area of rectangle = 5×10 = 50 square units
area of triangle = 0.5×5×10 = 25 square units
total area = 50+25 = 75 square units
Answer:
The length of the line is PQ as this line is parallel to the x - axis. So, the length of the line is the summation of 10 from second quadrant and 20 from first quadrant. So, the sum is 30. Hence the length of the line is 30 units.
Step-by-step explanation:
The length of a line segment can be measured by measuring the distance between its two endpoints. It is the path between the two points with a definite length that can be measured. Explanation: On a graph, the length of a line segment can be found by using the distance formula between its endpoints.
Answer:
16, 104, 1000
Step-by-step explanation:
8*2
8*13
8*125
To get a number as a percent of another, you divide and multiply by 100, so here you would have (13/52)*100=.25*100=25, making your answer 25%.