Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
The equation that will model this situation will be of the form
where 
is the time in hours john has traveled since the gas station, and 
is the distance.
Now we know that John has already traveled 20 miles when he is at the gas station, this means at 
, 
; or
Thus we have
.
Now we need to figure out 
When John reaches home 2 hours later he notes that he has traveled 30 miles, which means he has traveled 30 - 20 = 10 miles; thus we have
Now we have the full equation:
Answer:
The radius of a circumcircle of an equilateral triangle is equal to (a / √3), where ‘a’ is the length of the side of equilateral triangle.
Circle Radius = 16 / sq root (3)
Circle Radius = 9.237604307
Circle Area = PI * radius ^ 2
Circle Area = PI * 85.3333333333
Circle Area = 268.083
Equilateral Triangle area = side^2 * sq root (3) / 4
Equilateral Triangle area = 16^2 * 0.4330127019
Equilateral Triangle area = 110.85
Shaded region = 268.083 - 110.85
Shaded region = 157.233
Step-by-step explanation:
Answer:
45 because you have to subtract 100-55 which would equal 45
Answer: (6, -30)
Step-by-step explanation:
Substitute the points into the equation:
3.5 = -1/2(1^3) - 3(1) + 7 = 3.5: (1, 3.5) is on the graph.
-60.5 = -1/2 (9^2) -3(9) + 7 = -60.5: (9, -60.5) is on the graph.
-1 = -1/2 (-8^2) -3(-8) + 7 = -1. (-8, -1) is on the graph.
-30 = -1/2(6^2) -3(6) + 7 = -29 (6, -30) is not on the graoh.
