Part 4 of 4 (d) The ratio $$ \frac{a-b}{a-b}=\square $$, whereas the ratio $$ \frac{a-b}{b-a}=\square $$ provided that $$ a
eq b $$.

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Part 4 of 4 (d) The ratio $$ \frac{a-b}{a-b}=\square $$, whereas the ratio $$ \frac{a-b}{b-a}=\square $$ provided that $$ a 
eq b $$.

UpStudy AI · Accepted Answer

Let $$ a $$ and $$ b $$ be numbers with $$ a \neq b $$.

1. First, consider the ratio
   $$
   \frac{a-b}{a-b}.
   $$
   Since the numerator and the denominator are the same (and not zero because $$ a \neq b $$), we have
   $$
   \frac{a-b}{a-b}=1.
   $$

2. Next, consider the ratio
   $$
   \frac{a-b}{b-a}.
   $$
   Notice that
   $$
   b-a = -(a-b).
   $$
   Substituting this into the ratio, we obtain
   $$
   \frac{a-b}{b-a} = \frac{a-b}{-(a-b)} = -\frac{a-b}{a-b} = -1.
   $$

Thus, the completed statements are:
- $$\frac{a-b}{a-b}=1$$,
- $$\frac{a-b}{b-a}=-1$$.
$$\frac{a-b}{a-b} = 1$$ and $$\frac{a-b}{b-a} = -1$$.

Part 4 of 4
(d) The ratio , whereas the ratio provided that .

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Part 4 of 4 (d) The ratio , whereas the ratio provided that .