Solve the equation for the indicated variable.
-$A = \frac { h ( a + b ) } { 2 } \quad$ for $a$
A) $a = \frac { h b - 2 A } { h }$
B) $a = \frac { 2 \mathrm { Ab } - \mathrm { h } } { \mathrm { h } }$
C) $a = \frac { 2 \mathrm {~A} - \mathrm { hb } } { \mathrm { h } }$
D) $a = \frac { A - h b } { 2 h }$

Question

Quizplus · Accepted Answer

To solve for $a$, we start with the given equation $A = \frac { h ( a + b ) } { 2 }$. Multiplying both sides by 2 to eliminate the denominator gives $2A = h(a + b)$. Then, isolating $a$ involves subtracting $hb$ from both sides, resulting in $2A - hb = ha$. Finally, dividing both sides by $h$ gives $a = \frac { 2A - hb } { h }$.

Solve the Equation for the Indicated Variable A=h(a+b)2A = \frac { h ( a + b ) } { 2 } \quadA=2h(a+b)​

Solve the Equation for the Indicated Variable $A = \frac { h ( a + b ) } { 2 } \quad$