Answer:
D)
Step-by-step explanation:
Here is the catch in this case:
A 180°-rotation [no matter where you go] means that both figures must be facing in opposite directions, and on opposite sides of the graph:
Quadrant III → Quadrant I
Quadrant II → Quadrant IIII
I am joyous to assist you anytime.
Answer: the length of the ladder is 40 meters.
Step-by-step explanation:
The ladder forms a right angle triangle with the wall and the ground.
The length of the ladder represents the hypotenuse of the right angle triangle.
The distance of the base of the ladder due west of the burning building represents the adjacent side of the right angle triangle.
To determine the length of the ladder, h, we would apply the cosine trigonometric ratio. It is expressed as
Cos θ = adjacent side/hypotenuse. Therefore,
Cos 51 = 25/h
h = 25/Cos 51 = 25/0.6293
h = 40 meters to the nearest meter.
That is an exponential function. It grows all over the range, from - ∞ to + ∞.
The limit when f(x) goes of - ∞ is zero, so y = 0 there is the asymptote to the left side.
The value of f(x) for x = 4 is 1: f(4) = 6 ^ (4 - x) = 6 ^ (4 - 4) = 6^0 = 1. So, the y intercept is y = 0.
The function grows as x goes to infinity.
You can finds some other values of the function to help to sketch the graph.
x f(x) = 6 ^ (x - 4)
-100 6^ ( -104) = 1.18 * 10^ (-81)
- 10 6^ (-14) = 1.28 - 10^ -11
3 6^ (-1) = 1/6 = 0.17
4 6^0 = 1
14 6^ (10) = 60,466,176
