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.
According to the question statement, the total sum of students is 221, which includes the students that ride on bus and the students that ride in a van.
The students that ride in a van are five, the students that ride on bus are 6 times s which is the product of the number of buses and the number of students that are on each bus.
Write all this information into an equation, this way:
Now, solve the equation for s to find the number of students that are on each bus.
There are 36 students on each bus.
Answer:HELPP I NEED THE ANSWERRRR
Step-by-step explanation:
Answer:
it’s the number of half the circle times 3.14 awnsers below
Step-by-step explanation:
1. 25.12
2. 9.42
3. 6.28
4. 12.56
5. 18.84