Acircle in the xyxyx, y-plane has the equation 36x^2+36y^2-12x-27y-8=036x 2 +36y 2 −12x−27y−8=036, x, start superscript, 2, end superscript, plus, 36, y, start superscript, 2, end superscript, minus, 12, x, minus, 27, y, minus, 8, equals, 0. how long is the radius of the circle?

we have

Group terms that contain the same variable, and move the constant to the opposite side of the equation

Factor the leading coefficient of each expression

Complete the square twice. Remember to balance the equation by adding the same constants to each side.

Rewrite as perfect squares

Divide both sides by 36

the radius of the circle is equal to

r=0.625 units

the answer is

the radius is equal to r=0.625 units

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

$12. that is my answer.