The smallest degree of rotation is called the angle of rotation. This can be calculated by dividing the angle of full rotation by the number of sides of a regular polygon. Since a full rotation is 360 degrees, we divide 360 by 24.
Thus, the smallest rotation needed to map the polygon back to itself is <span>15 degrees.</span>
Answer:
Step-by-step explanation:
Since C=2(3.14)r and D=2r
C=3.14D
C/D=3.14
Answer:1/4
Step-by-step explanation:
Answer:
Step-by-step explanation:
symmetry with respect to y-axis for y=f(x) means f(-x)=f(x)
in this case, y = f(x) = x / (x^2+4)
f(-x) = -x / ((-x)^2+4) = -x / (x^2+4) = -f(x)
so it is not symmetric to y-axis
symmetry with respect to x-axis for x=g(y) means g(-y)=g(y)
in this case, y = x / (x^2+4)
y*(x^2+4) = x
y*x^2 + 4y - x = 0
substitute -y into g(y)
(-y)*x^2 +4(-y) - x = 0
-y*x^2 - 4y - x = 0
y*x^2 + 4y + x = 0
so g(-y) is not equal to g(y)
so it is not symmetric to x-axis
<span>(3x^3-4x^2-5x+3)+(-4 - 6x^3+x^2 - 5x+5)
= </span><span>3x^3 - 4x^2 - 5x + 3 - 4 - 6x^3 + x^2 - 5x + 5
= -3x^3 - 3x^2 - 10x + 4</span>
