Noelle stands at the edge of a cliff and drops a rock. the height of the rock, in meters, is given by the function f(x)=−4.9x2+17 , where x is the number of seconds after noelle releases her rock. cesar, who is standing nearby on the ground, throws a rock straight up in the air. the height of cesar’s rock, in meters, is given by the function g(x)=−4.9x2+13x , where x is the number of seconds after he releases his rock. there is a moment when the rocks are at the same height. what is this height?

8.62 meters

Step-by-step explanation:

Given: The height of the rock, in meters, is given by the function , where x is the number of seconds after Noelle releases her rock.

The height of Cesar’s rock, in meters, is given by the function , where x is the number of seconds after he releases his rock.

The moment when the rocks are at the same height  then f(x)= g(x)

To calculate height put x in first equation, we get

Hence, the height = 8.62 meters

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