A formula is expressed as d=a(2+kt). Express k in terms of d, a and t

Answer:
k = [tex] \frac{d-2a}{at} = \frac{d}{at} - \frac{2a}{at} = \frac{d}{at} - \frac{2}{t} [/tex]

Explanation:
To get the value of k, we will need to isolate it on one side of the equation.
This can be done as follows:
d = a(2+kt)

1- get rid of the brackets using distributive property:
d = a(2+kt)
d = 2a + akt

2- Subtract 2a from both sides of the equation:
d - 2a = 2a + akt - 2a
d - 2a = akt

3- Divide both sides of the equation by "at":
[tex] \frac{d-2a}{at} = \frac{akt}{at} [/tex] 

[tex] k= \frac{d-2a}{at} [/tex]

4- We can further simplify the answer as follows:
k = [tex] \frac{d-2a}{at} = \frac{d}{at} - \frac{2a}{at} = \frac{d}{at} - \frac{2}{t} [/tex]

Hope this helps :)