A rectangular price tag has a cemeter of 30 centimeters, It's area is 54 square centimeters What are the dimensions of the price tag

l = 9 inches and b = 6 inches.

Step-by-step explanation:

Given that,

The perimeter of a rectangular price tag, P = 30 cm

The area of rectangular price tag, A = 54

We need to find the dimensions of the price tag.

The area of rectangle is given by :

A = lb

So,

54=lb ...(1)

The perimeter of a rectangle is given by :

P = 2(l+b)

So,

30=2(l+b)

15=(l+b) ...(2)

We need to solve equation (1) and (2) such that,

l = 9 inches and b = 6 inches.

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.