9514 1404 393
Answer:
focus: (0, -5.5)
directrix: y = 5.5
Step-by-step explanation:
The equation compares to the form ...
x² = 4py
where 4p = -22 ⇒ p = -22/4 = -5.5.
The value of p is the distance from the vertex to the focus. The negative value means the focus is below the vertex at (0, -5.5).
The directrix is above the vertex by the same amount, so is y = 5.5.
the equation here would be set up by doing
44.4 - 10.9 = 33.5
Carlsbad caverns is 33.5 kilometers long.
The given scenario falls under the category of conditional probability. There are a total of 56 people in the fishing group described above. The probability that the a person caught a fish and fished from a boat is 24/56. The probability that he fished from a boat is (24+11)/56. For the conditional probability in this item is,
P = (24/56) / ((24+11)/56) = 24/35 = 0.69
Answer:
Let x equal the ice thickness. An equality that represents a safe ice thickness for walkability is:
x ≥ 4 inches
(Plus the graph)
Step-by-step explanation:
Defining a variable just means you let any letter or symbol take the place of something. But you have to specifically say what is what in order for it to be clear.
So I defined "x" as the variable to represent the ice's thickness. And since we want an inequality for all the safe thicknesses, we could say that "x" must be greater than or equal to 4 inches thick in order to safely walk on it.
Lastly, you'd graph it with a solid point on 4 with the arrow going to the right.