Answer:
3) yes, it is in the shaded region
4) no, it lies on a less-than line
5) yes, it lies on a greater-than-or-equal-to line
6) no, it isnt in the shaded region
Step-by-step explanation:
To determine if a line is perpendicular to another, you must first determine the slope...
m = y1-y2/x1-x2
m of FK = 3-5/3-6 = -2/-3 = 2/3
m of FJ = 3-2/3-8 = 1/-5
m of FL = 3-0/3-5 = 3/-2
m of KJ = 5-2/6-8 = 3/-2
m of KL = 5-0/6-5 = 5
m of JL = 2-0/ 8-5 = 2/3
In order for two lines to be perpendicular, their slopes must be opposite reciprocals...
FK is perpendicular to FL
FK is perpendicular to KJ
JL is perpendicular to FL
JL is perpendicular to KJ
FJ is perpendicular to KL
48 miles/4hrs = 12 mph
Increased Speed 12 mph + 8mph = 20 mph
Distance left 108 miles - 48 miles = 60 miles
Time left 60 miles/20 mph = 3 hours
Answer:
(x, y) = (-1, 3), (-3, 115), (2, 0)
Step-by-step explanation:
The first two test points are <em>not roots</em>. The last one is a root.