Find the distance from the point (3,2) to the line 2y + 3x = 5. Round your answer to the nearest tenth.

  (8/13)√13 ≈ 2.2

Step-by-step explanation:

The distance from point (x, y) to line ax+by=c can be found using the formula ...

  d = |ax +by -c|/√(a²+b²)

Filling in the given values, we find the distance to be

  d = |3·3 +2·2 -5|/√(3² +2²) = 8/√13

  d = (8√13)/13 ≈ 2.2 . . . . . after rationalizing the denominator

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