e.
5^0 = 1; 5^1 = 5; 5^2 = 25; 5^(-1) = 1/5; 5^(-2) = 1/25
This is an exponential function since the exponent is a variable.
Function: f(x) = 5^x
Recursive:
f.
Look at f(x) = x^2 for x = -2, -1, 0, 1, 2
f(-2) = 4
f(-1) = 1
f(0) = 0
f(1) = 1
f(2) = 2
Now look at the y-values in the table. They are the same we have here added to 5.
Your function is a quadratic function.
f(x) = x^2 + 5
Answer:
d=117.33 m
Step-by-step explanation:
Initial velocity of planes, u = 0 (because they are at rest)
Acceleration, a = 3.3 m/s²
Final take off speed, v = 88 m/s
We need to find the minimum allowed length for the runway. Let it is d. d will be the distance. It can be calculated using third equation of motion as follows :
Putting all the values, we get :
Hence, the minimum allowed length for the runway is 117.33 m.
Since the scaling factor of the dilation (0.5) is fewer than 1, it shrinks (make smaller) the triangle around the origin (zero). Intuitively, the dilation is getting the points of the triangle closer to zero (in a way that preserves the shape of the triangle).
Formally, to know the coordinates of a point of the triangle after the dilation, we just need to multiply the original coordinates of the point by the scaling factor (this works for the dilation is around zero).
The original coordinates of D are
Multiplying them by the scale factor, we get
The coordinates of D after the given dilation is