Answer:
7 times during the first 15 minutes
Step-by-step explanation:
Remember that
so
Decompose the numbers 18 and 42 in prime factors
we know that
Find the least common multiple (LCM)
The LCM is
we need to find all multiples of 126 that are less than or equal 900.
therefore
7 times during the first 15 minutes
Answer:
12 m
Step-by-step explanation:
The path of a football has been modeled by the equation:
where h represents the height and d represents the horizontal distance.
When the ball lands, it means that its height is back at 0 metres. This means that we have to find horizontal distance, d, when height, h, is 0.
=>
∴ d = 0 m
and
10d - 120 = 0
=> d = 120 / 10 = 12 m
There are two solutions for d when h = 0 m.
The first solution (d = 0 m) is a case where the ball has not been thrown at all. This means the ball has not moved away from the football player and it is still on the ground.
The second solution is the answer to our problem (d = 12 m). The ball lands at a horizontal distance of 12 m