The radius of a circle is 10. using π, which equation expresses the ratio of the circumference of the circle to the circle's diameter?

π = C / d

Step-by-step explanation:

The circumference of a circle is given by the general formula;

C = 2 * π * r or C = π d  (r = radius, d = diameter)

We can easily modify the second formula to isolate π in order to express the circumference in relation to the diameter:

π = C / d

To obtain π, you need to divide the circumference by the diameter.

We're used to think about the circumference in terms of radius... but since we deal with 2 * r * π and that 2 * r = d...  it's also convenient to use the diameter.

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3