Which absolute value expression represents the distance between 3 and
9
2
on a number line?
a) |3 −
9
2
|
b) |3 − (−
9
2
)|
c) |−3 + (−
9
2
)|
d) |−3 −
9
2
)|

From other source on the internet this question is:

Which absolute value expression represents the distance between 3 and - 2 on a number line?

Both are equivalent.

Explanation:

The distance between two numbers in a number line is the absolute value of the difference between the two numbers.

Thus, the distance between a number x and a number y is |x - y|, which is also equivalent to |y - x|.

In this case the distance between 3 and - 2 can be represented by either of the expressions:

Note that when you simplify them you get the same value:

step-by-step explanation:

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have