Question

Please help!

Answer 1

Answer:

The answer is

$\alpha = - \frac{1}{2}$

Step-by-step explanation:

From the question

$\alpha$ is inversely proportional to $\beta$ is written as

$\alpha = \frac{k}{ \beta }$

where k is the constant of proportionality

When

$\alpha$ = 4

$\beta$ = 9

Substituting the values into the formula

we have

$4 = \frac{k}{9}$

cross multiply

k = 4 × 9

k = 36

So the formula for the variation is

$\alpha = \frac{36}{ \beta } [/tex]when [tex]\beta$ = - 72

That's

$\alpha = \frac{36}{ - 72}$

Simplify

We have the final answer as

$\alpha = - \frac{ 1}{2}$

Hope this helps you