Question

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

Answer 1

Answer:
k = $\frac{d-2a}{at} = \frac{d}{at} - \frac{2a}{at} = \frac{d}{at} - \frac{2}{t}$

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":
$\frac{d-2a}{at} = \frac{akt}{at}$ 

$k= \frac{d-2a}{at}$

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

Hope this helps :)

Answer 2

Answer:

$k=\frac{d}{ta}-\frac{2}{t}$

Step-by-step explanation:

d=a(2+kt)

WE need to solve for k. our aim is to get K alone

d= a(2+kt)

To eliminate 'a' we divide by 'a' on both sides

$\frac{d}{a} = 2+ kt$

To eliminte 2 we subtract 2 on both sides

$\frac{d}{a}-2 =kt$

Now to isolate K we divide by 't' on both sides

When we divide a fraction by 't' then we multiply 't' at the bottom

$\frac{d}{ta}-\frac{2}{t}=k$