Answer:
b=-1
Step-by-step explanation:
-7+b=-8
Add 7 to each side to isolate b
-7+7+b=-8+7
b = -1
Perpendicular = Negative Reciprocal
-3 --> -1/3 ---> 1/3
Therefore it is C
All the points that are 6 units from (-1, 1) are those on the circle
(x+1)^2 +(y-1)^2 = 36
For y=0, the two points of interest satisfy
(x+1)^2 +1 = 36
(x+1)^2 = 35 . . . . . . subtract 1
x+1 = ±√35
x = -1±√35
The points you seek are
(-1-√35, 0) and (-1+√35, 0), about (-6.916, 0) and (4.916, 0).
P = s + (s + 5) + (s + 5) This represents the two sides that are 5 inches longer than the base (s + 5) and the base (s).
Simplifying.
100 = 3s + 10
subtract 10 from both sides
90 = 3s
divide both sides by 3
30 = s
base = 30
sides = 35
CHECK 30 + 35 + 35 = 100