Answer:
The focus of the parabola is at the point (0, 2)
Step-by-step explanation:
Recall that the focus of a parabola resides at the same distance from the parabola's vertex, as the distance from the parabola's vertex to the directrix, and on the side of the curve's concavity. In fact this is a nice geometrical property of the parabola and the way it can be constructed base of its definition: "All those points on the lane whose distance to the focus equal the distance to the directrix."
Then, the focus must be at a distance of two units from the vertex, (0,0), on in line with the parabola's axis of symmetry (x=0), and on the positive side of the y-axis (notice the directrix is on the negative side of the y-axis. So that puts the focus of this parabola at the point (0, 2)
Answer: D
Step-by-step explanation:
Look at the exponents first and order them from least to greatest
below
Step-by-step explanation:
all real numbers
[0,∞]
increasing
decreasing
Answer:
C. 24 ft.
Step-by-step explanation:
There is a right triangle which can be drawn in side the pyramid with height h, hypotenuse 25 ft and bas = 1/2 * 14 = 7.
So using Pythagoras:
25^2 = h^2 + 7^2
h^2 = 25^2 - 7^2
h^2 = 576
h = √576 = 24 ft.