Question

A convex mirror, like the passenger-side rearview mirror on a car, has a focal length of -2.2 m . an object is 4.4 m from the mirror.

Answer 1

The question is missing, but I guess the problem is asking for the location of the image.

We can solve the problem by using the mirror equation:

`(1)/(f)= (1)/(d_o)+ (1)/(d_i)`
where
f is the focal length of the mirror

`d_o` is the distance of the object from the mirror

`d_i` is the distance of the image from the mirror

For a convex mirror, the focal length is taken as negative, so in our problem
f=-2.2 m
The distance the object is

`d_o=4.4 m`

And if we use the previous equation, we can find the distance of the image from the mirror:

`(1)/(d_i)= (1)/(f)- (1)/(d_o)= -(1)/(2.2 m) - (1)/(4.4 m) =- (3)/(4.4 m)`
from which we find

`d_i = -(4.4 m)/(3)=-1,47 m`
where the negative sign means the image is virtual (located behind the mirror)