Symmetry can be determined visually in a graph. If both graphs are mirror-image of each other, then both of the equations are symmetric. But, you can also determine it analytically through testing the symmetry. These are the rules:
If
f(r, θ) = f(r,-θ), symmetric to the polar axis or the x-axis
f(r, θ) = f(-r,θ), symmetric to the y-axis
f(r, θ) = f(-r,-θ), symmetric to the pole or the origin
Test for symmetry about the x-axis
f(r,θ): r=4 cos3θ
f(r,-θ): r = 4 cos3(-θ) ⇒ r = 4 cos3θ
∴The graph is symmetric about the x-axis.
Test for symmetry about the y-axis
f(r,θ): r=4 cos3θ
f(-r,θ): -r = 4 cos3θ
∴The graph is not symmetric about the y-axis.
Test for symmetry about the origin
f(r,θ): r=4 cos3θ
f(-r,-θ): -r = 4 cos3(-θ) ⇒ r = -4 cos3θ
∴The graph is not symmetric about the origin.
Answer: Because when you divide 25 by 8, the result is greater than 3.
<em>Answer: 52</em>
<em />
<em>Step-by-step explanation:</em>
<em>8x6+(12-4)÷2</em>
<em>Parenthesis' first</em>
<em>8x6+8÷2</em>
<em>multiplication next</em>
<em>48+8÷2</em>
<em>Division next</em>
<em>48+4</em>
<em>52</em>
Answer:
good question
did i ask shut man stop cheating
Answer: 4x-6= 18
4x=24
x= 24 & 4
x=6
Step-by-step explanation: