Solve.
-$\frac { 1 } { \mathrm {~A} } = \frac { 1 } { \mathrm {~m} } + \frac { 1 } { \mathrm { t } }$, for $\mathrm { t }$

Question

Quizplus · Accepted Answer

To solve for $t$, we start with the given equation $\frac { 1 } { A } = \frac { 1 } { m } + \frac { 1 } { t }$. We can rewrite this as $\frac { 1 } { A } - \frac { 1 } { m } = \frac { 1 } { t }$. Simplifying the left side gives us $\frac { m - A } { mA } = \frac { 1 } { t }$. Taking the reciprocal of both sides gives $t = \frac { mA } { m - A }$, which matches choice C.

Solve - 1 A=1 m+1t\frac { 1 } { \mathrm {~A} } = \frac { 1 } { \mathrm {~m} } + \frac { 1 } { \mathrm { t } } A1​= m1​+t1​

Solve
- $\frac { 1 } { \mathrm {~A} } = \frac { 1 } { \mathrm {~m} } + \frac { 1 } { \mathrm { t } }$