Respuesta :

Answer:

The expression for c is;

[tex]c=\frac{a}{h}-b[/tex]

Explanation:

Given the below expression;

[tex]a=h(b+c)[/tex]

We want to find the expression for c;

Firstly, let's divide both sides by h;

[tex]\begin{gathered} \frac{a}{h}=\frac{h(b+c)}{h} \\ \frac{a}{h}=b+c \end{gathered}[/tex]

Then, we can now subtract b from both sides;

[tex]\begin{gathered} \frac{a}{h}-b=b-b+c \\ \frac{a}{h}-b=c \\ c=\frac{a}{h}-b \end{gathered}[/tex]

Therefore, the expression for c is;

[tex]c=\frac{a}{h}-b[/tex]