Tom is making a triangular enclosure in his yard. He plans on using two old fence posts as vertices, and will place a
new fence post for the third vertex. The old posts are located
at (-5,4) and (2,6), where the coordinates are given in feet.
If he has 25 feet total of wire fencing available to close off
the area, how much wire fencing will he have left, after he
connects the two posts he has already placed?

14 ft 7 inches

step-by-step explanation:

since each model inch corresponds to 25 real inches, 7 model inches will correspond to

7×25" = 175"

at 12" per foot, that is 14 feet, 7 inches.

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

the answer is b.

64

step-by-step explanation:

c=2πr=2·π·8≈64