Answer:
The pairs are matched
Step-by-step explanation:
A. A line through the origin that makes an angle of
with the positive x-axis.
Given a line through the origin that makes an angle of
with the positive x-axis. The angle which the line makes with the x-axis is
.
- Therefore,
![\theta = \pi/6](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20%5Cpi%2F6)
B. A vertical line through the point (3, 3).
If a line passes through the point (3,3), x=3 and y=3. The vertical line through the point (3,3) is x=3
C. Given a circle center (h,k) and a center r, the standard form of the equation of the circle is given as:
![(x-h)^2+(y-k)^2=r^2](https://tex.z-dn.net/?f=%28x-h%29%5E2%2B%28y-k%29%5E2%3Dr%5E2)
Therefore, for a circle with radius 5 and center (2, 3), the standard form equation is:
D. A circle centered at the origin with radius.
For a circle centered at the origin with radius r=4.
The radius of the circle is 4 units.