where would the image of a 4.0 cm tall object that is 12 cm in front of a flat mirror be located?

To determine the location of the image of a 4.0 cm tall object that is 12 cm in front of a flat mirror, we can use the rules of reflection.

In this case, we can use the mirror equation, which states:

1/f = 1/di + 1/do

Where:
- f is the focal length of the mirror
- di is the distance of the image from the mirror
- do is the distance of the object from the mirror

In a flat mirror, the focal length is infinity, so we can simplify the equation to:

1/di = 1/do

By substituting the given values, where do (distance of object) is -12 cm (negative sign indicates that it is in front of the mirror), we can solve for di (distance of the image):

1/di = 1/(-12 cm)

By solving this equation, we find that di (distance of the image) is also -12 cm (negative sign indicates that it is behind the mirror).

Since both the object and the image are at the same distance from the mirror, 12 cm away, we can conclude that the image is located at the same distance behind the mirror as the object is in front of it. Therefore, the image of the 4.0 cm tall object would be located 12 cm behind the mirror.

the image is 4.0cm behind the mirror.