Answer:
[tex]a=\frac{m+2f^2}{d}\\\\ B=\frac{3T}{H}[/tex]
Step-by-step explanation:
1.) Find a
Solve the given equation for a (change it to lool like a=...). Isolate the variable a to find its value. Subtract 2f² from both sides:
[tex]m+2f^2=ad-2f^2+2f^2\\\\m+2f^2=ad[/tex]
Divide both sides by d:
[tex]\frac{m+2f^2}{d}=\frac{ad}{d}\\\\ a=\frac{m+2f^2}{d}[/tex]
2.) Find B
Solve the equation for B (change it to look like B=...). Isolate the variable B to find its value. Simplify:
[tex]\frac{1}{3}HB=T\\\\\frac{HB}{3}=T[/tex]
Multiply both sides by 3:
[tex]3(\frac{HB}{3})=3(T)\\\\ HB=3T[/tex]
Divide both sides by H:
[tex]\frac{HB}{H}=\frac{3T}{H}\\\\ B=\frac{3T}{H}[/tex]
:Done
