The length of a rectangular rug is 3 more than twice it’s width. The sum of the length and width is 18 feet. What are the dimensions of the rug?

The length is 13 feet and the width is 5 feet

Step-by-step explanation:

Let w represent the width

Since the length is 3 more than twice the width, it can be represented by 2w + 3

Using this, set up an equation and solve for w:

w + (2w + 3) = 18

3w + 3 = 18

3w = 15

w = 5

So, the width is 5

Use 2w + 3 to find the length:

2w + 3

2(5) + 3

= 13

The length is 13 feet and the width is 5 feet

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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.