Answer: C
Step-by-step explanation:
the equation for X is
use proportion to solve
2 + x = 16
x = 14
(14,y)
The equation for Y is
use proportion to solve
-1 + y = 6
y = 7
(14,7)
now use the distance formula
(14,7) (2,-1)
which gets you 14.4 or C
"A scale factor is a number which scales, or multiplies, some quantity. ... In the field of measurements, the scale factor of an instrument is sometimes referred to as sensitivity. The ratio of any two corresponding lengths in two similar geometric figures is also called a scale factor." (not my wording but i hope this helps)
8/x-7=7/2
16=7(x-7) cross multiply
16=7x-49
-7x=-49-16
-7x=-65 divides each side by -7
-7x/7=-65/7
X=65/7
Alternative form
X=92/7
Which is 1st options in your questions.
Hope this helps!