1. EFG
2. F
3. FA and FB Take a moment to look at this one. The two rays are pointing in opposite directions. They are 180o apart. They share a common point at F.
FE and FG does the same thing.
4. No G is on a line that has only one point on the plane and that point is F.
5, AC has an infinite number of points on the plane.
Answer:
The (x,y) point of the vertex is usually labelled as:
Vertex = (h, k)
h = -b / 2a
k = ah^2 + bh + c
f(x) = -3x^2 + 12x -5
a = -3 b=12 c=-5
h = -12 / -6 therefore h = 2
k = -3*2^2 + 12*2 -5
k = -12 + 24 -5 therefore k = 7
Vertex (2, 7)
Source: http://www.1728.org/quadr3.htm
Step-by-step explanation:
31.0 degrees
TanX wich is 30/50
same thing as 30 divided by 50
Answer:
the submarine is 92.994 feet ≈ 93 feet deep from the surface of the water
Step-by-step explanation:
We can think in a triangle where the hypotenuse is the detection distance and the angle with the horizontal surface of water is the depression angle, then the underwater distance is the vertical side of the triangle.
If we denote Ф as the angle of depression ,d as the detection distance and x as the unknown depth of the submarine, using trigonometry:
x = d* sin Ф
thus
x= d * sin Ф = 238 feet * sin 23° = 92.994 feet ≈ 93 feet
Answer:
![[km^2]](https://tex.z-dn.net/?f=%5Bkm%5E2%5D)
Step-by-step explanation:
In this problem, the initial area of the forest at time t = 0 is
After every year, the area of the forest decreases by 9.8%: this means that the area of the forest every year is (100%-9.8%=90.2%) of the area of the previous year.
So for instance, after 1 year, the area is
After 2 years,
And so on. So, after t years, the area of the forest will be
And by substituting the value of A0, we can find an explicit expression:
