You have a 32 32 -foot fence around a square garden. there are 4 4 equal sections. you paint 13 1 3 of one section of the fence. what fraction of the fence did you paint?

The answer is one-twelveth.

Step-by-step explanation:  Given that we have a 32 feet fence around a square garden ABCD as shown in the attached figure.

There are four equal sections AB = BC = BD = DA of the fence.

If we paint one-third of one section, then we need to find what fraction of the total fence we painted.

Since ABCD is a square, so AB = BC = CD = DA = 8 feet.

Let we paint one-third of section AB. so, the part of AB we painted is

Therefore, the fraction of the fence that we painted is given by

Thus, we painted one -twelveth of the total fence.

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.