An astronaut on the moon drops a tool from the door of the landing ship. The quadratic function f(x)=-2x^2+10 models the height of the tool, in meters, after x seconds. How long does it take the tool to hit the surface of the moon? Round your answer to the nearest tenth.

2.2 seconds.

Step-by-step explanation:

We have been given that an astronaut on the moon drops a tool from the door of the landing ship. The quadratic function models the height of the tool, in meters, after x seconds.

To find the time, it will take for the tool to hit the surface of moon, we will set and solve for x as:

Divide both sides by negative 2:

Now, we will take square root of both sides:

Since time cannot be negative therefore, it will take 2.2 seconds for the tool to hit the surface of the moon.

60 for the first and 130 for the second

step-by-step explanation: