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1. di = 22.5cm; hi = -2.5cm
(1 / f) = (1 / do) + (1 / di) where f = 15 and do = 45; (hi / ho) = - (di / do) where ho = 5, do = 45, and di = 22.5
2. d
i = 19.2cm; real image
(1 / f) = (1 / do ) + (1 / di) where f = 12 and do = 32. All inverted images are real images.
3. di = -8.1cm
(1 / f) = (1 / do) + (1 / di) where f = -10.8 and do = 32.7. Substitute and solve for di.
4. di = -8.1; hi = 0.909cm
(1 / f) = (1 / do) + (1 / di) where f = -12 and do = 25. Substitute and solve for di. (hi / ho) = - (di / do) where ho = 2.8, do = 25, and di = -8.1. Substitute and solve for hi.
5.                         F (+ or -)    Image (+ or -)    Real or virtual?    Magnification    Inverted or upright?    

Concave (d
o < f)        +                   -                        Virtual                  +                         Upright
Concave (2f > d
o > f) +                   +                         Real                     +                        Inverted
Concave (d
o > 2f)      +                   +                         Real                     -                        Inverted
Convex                     -                    -                        Virtual                  -                          Upright