This is a vertical parabola which opens upwards
we have the general formula
(x - h)^2 = 4p(y - k) where p is the y coordinate of the focus
y/14 = x^2 - x /14 - 1/14
add 1/14 to both sides
y/14 + 1 /14 = x^2 - x /14
now complete the square
y/14 + 1/14 = x^2 - x/14 + 1/28^2
y/14 + 1/14 = (x - 1/28)^2
(x - 1/28)^2 = 1/14( y + 1)
comparing this with the general form:-
4p = 1/14
p = 1/56
so the focus is at (h,p) = (1/28, 1/56)
Average speed=totaldistance/ttoaltime
d=rt
40mph for 30mins (1/2 hr), travels 20mi
rest for 15min (1/4 hr), travels 0mi
swims at 32mph for 45min (3/4hr), travels 96/4=24mi
total distance=20+0+24=44
total time=1/2+1/4+3/4=1 and 1/2=3/2
44/(3/2)=44 times 2/3=88/3=29 and 1/3
about 29 and 1/3 mph
Answer:
The answere is C
Step-by-step explanation:
Answer:
V = 1/3 ( 35)*12
Step-by-step explanation:
The volume is given by
V = 1/3 Bh
Where B is the area of the base
V = 1/3 ( 35)*12
