Answer:
v = -4 cm
Explanation:
We have,
Distance between candle and the concave mirror, u = -12 cm
Focal length of the mirror is, f = -3 cm
It is required to find the distance from the distance where image is located. Using mirror's formula to find it:
[tex]\dfrac{1}{f}=\dfrac{1}{u}+\dfrac{1}{v}[/tex]
v is image distance
[tex]\dfrac{1}{v}=\dfrac{1}{f}-\dfrac{1}{u}\\\\\dfrac{1}{v}=\dfrac{1}{(-3)}-\dfrac{1}{(-12)}\\\\v=-4\ cm[/tex]
So, the image will formed at a distance of 4 cm.