Answer:
the desired distance is 49/26 units
Step-by-step explanation:
The horizontal distance is 43/26 - 3; the vertical distance is 71/26 - 3.
Rewriting these with denominator 26 yields horiz. dist. 35/26 and vert. dist. -7/26.
Applying the Pythagorean Theorem to find the distance between the two points, we get:
d^2 = (35/26)^2 + (-7/26)^2, or
d^2 = 49/26
Then the desired distance is 49/26 units.
