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Answer:
(x+4)^2=-8(y+3)
Step-by-step explanation:
Given:
focus of parabola=(-4,-5)
directrix= -1
Standard form of parabola :
(x - h)^2 = 4p (y - k),
where focus is:
(h, k + p)
directrix is :
y = k - p
Now equating the values we get
(-4,-5) = (h,k+p)
h=-4
k+p=-5
k=-5-p
Also
y=-1 and y=k-p
i.e. k-p=-1
Substituting k=-5-p in above we get:
-5-p-p=-1
-2p=-1+5
p=4/-2
p=-2
Putting p=-2 in k-p=-1 we get:
k=-1-2
k=-3
Putting all the values in standard formula for parabola we get:
(x - (-4))^2 = 4(-2) (y -(-3))
(x+4)^2=-8(y+3)!
Answer:
57 4/5
Step-by-step explanation:
Add 5 and 14
5+14 = 19
Triple the sum
3 * 19 = 57
The add 4/5
57 + 4/5
57 4/5
Answer:
A special drill is used at a construction site to dig holes. A hole is dug to a depth of 2.75 feet when the drill hits rock. The progress slows to 5/6 feet per hour of digging. The depth of the hole must be at least 10 1/2 feet by the end of the day to stay on schedule. What is the minimum amount of time the drill must continue at its present rate to complete the hole on schedule? Select from the drop-down menus to correctly complete the statement.
13034 + 18.5 = 13052.5 13052.5 is the vertical distance that the pebble fell.