Respuesta :

D=a(2+kt)
D=2a+akt
D-2a/at=akt/at
Answer. D-2a/at= k. at cancel

Answer:

[tex]\text{The formula is }k=\frac{D}{at}-\frac{2}{t}[/tex]

Step-by-step explanation:

Given the formula D=a(2+kt)

we have to express k in terms of D,a and t

[tex] D=a(2+kt)[/tex]

Divide by a on both both sides

[tex]\frac{D}{a}=2+kt[/tex]

Subtracting 2 from both sides

[tex]\frac{D}{a}-2=kt[/tex]

Divide by t throughout the equation

[tex]\frac{1}{t}(\frac{D}{a}-2)=k[/tex]

[tex]k=\frac{D}{at}-\frac{2}{t}[/tex]

[tex]\text{The formula is }k=\frac{D}{at}-\frac{2}{t}[/tex]