#$83)$ Two$-$lens systems. In Fig. $34-45,$ stick figure O $($the object$)$ stands on the common central axis of two thin, symmetric lenses, which are mounted in the boxed regions. Lens $1$ is a converging lens with a focal length of $9$ centimeters mounted within the boxed region closer to $O,$ which is at object distance $p_1=20$ centimeters. Lens $2$ is a converging lens with a focal length of $5$ centimeters mounted within the farther boxed region, at distance $d=8$ centimeters. Find $($a$)$ the image distance $i_2$ for the image produced by lens $2($the final image produced by the system$)$ and $($b$)$ the overall lateral magnification $M$ for the system, including signs. Also, determine whether the final image is $($c$)$ real $($R$)$ or virtual $($V$),($d$)$ inverted $($I$)$ from object O or noninverted $($NI$),$ and $($e$)$ on the same side of lens $2$ as object O or on the opposite side.

Figure $34-45$ Problems $80$ through $87.$