I suppose a DJ wants to select 4 different songs, then there are: 12*11*10*9 = 11880 ways to choose them.
If the order of the songs he plays doesn't matter, there are:
ways to choose them.
Coterminal angles are different angles that have the same terminal side.
A positive angle has one turn more around so it has a measure of 100°+360° = 460°.
A negative angle will have a measure that is represented in clockwise rotation and be equal to 100° - 360° = -260°.
We can sketch an angle of measure 100°, a positive coterminal angle and a negative coterminal angle as:
Answer: y = 6x + 22
Step-by-step explanation:
Parallel lines have same slope. So, a line parallel to y = 6x − 1 is y = 6x + c.
Now to find c, put (-3,4) to this equation since the line passes through the point.
4 = 6 × -3 + c
4 = -18 + c
4 + 18 = c
c = 22
So, equation is y = 6x + 22
Answer:
4
Step-by-step explanation:
Always do parentheses first!
-4x+9=-5x
8x-2x=6x
-5x-6x+3=
x+3=4
Answer:

Step-by-step explanation:
step 1
Find the radius of the circle
we know that
The distance between the center and any point that lie on the circle is equal to the radius
we have the points
(5,-4) and (-3,2)
the formula to calculate the distance between two points is equal to
substitute the values
step 2
Find the equation of the circle
we know that
The equation of a circle in standard form is equal to

where
(h,k) is the center
r is the radius
we have

substitute

