Question

What is the value of a if va- vh is equals to 1 ​

Answer 1

Answer:

$\displaystyle a = \frac{1+vh}{v}$

Step-by-step explanation:

we want to figure out a value of a for the following condition

$\displaystyle va - vh = 1$

to do so factor out v;

$\displaystyle v (a - h )= 1$

divide both sides by v which yields:

$\displaystyle \frac{(a-h) \cancel{(v)}}{ \cancel{v}}= \frac{1}{v}$

therefore,

$\displaystyle a-h = { \frac{1}{v}}$

now,add h to both sides:

$\displaystyle a = \frac{1}{v}+h$

further simplification if necessary:

$\displaystyle a =\boxed{ \frac{1+vh}{v}}$

Answer 2

Given:-

• $\sf{va-vh=1 }$

To find:-

• $\sf{ value~ of ~a }$

Solution:-

• $\sf{ va-vh=1 }$

factor out of v

• $\sf{v(a-h)=1 }$

Dividing both sides by (v)

• $\sf{\dfrac{v(a-h)}{(v)}=\dfrac{1}{(v)} }$

cancel out (v)

• $\sf{\dfrac{\cancel{v}(a-h)}{\cancel{(v)}}=\dfrac{1}{(v)} }$

• $\sf{ a-h=\dfrac{1}{v} }$

add h in both sides

• $\sf{a-h+h=\dfrac{1}{v}+h }$

cancelout h

• $\sf{a-\cancel{h}+\cancel{h}=\dfrac{1}{v}+h }$

• $\sf{a=\dfrac{1}{v}+h }$

• $\boxed{\sf{a=\dfrac{1+vh}{v} } }$

$\sf{ }$ $\sf{ }$

Therefore:-

the value of a if va- vh is equals to 1 is $\bold{\dfrac{1+vh}{v} }$