An architecture firm creates blueprints for office buildings. last week, they produced four rectangular blueprints for four different projects. project a: a 20-inch by 15-inch blueprint with a scale of 1 inch to 4 feet and a projected cost of $22,000. project b: a 10-inch by 8-inch blueprint with a scale of 1 inch to 8 feet and a projected cost of $25,000. project c: a 15-inch by 12-inch blueprint with a scale of 1 inch to 6 feet and a projected cost of $27,000. project d: an 8-inch by 6-inch blueprint with a scale of 1 inch to 12 feet and a projected cost of $30,000. order the projects from greatest to least projected cost per square foot of the actual offices. project a project c project b

The order from greatest to least :

Project B > Project  A > Project  D > Project  C

Step-by-step explanation:

Project A : A 20-inch by 15-inch blueprint with a scale of 1 inch to 4 feet and a projected cost of $22,000.

Scale factor =

Length of the office building on blueprint = l =20 inch

Width of the office building on blueprint = b =15 inch

Real length of the office building on blueprint = L

=

L = 80 feet

Real width of the office building on blueprint = B

B = 60 feet

Area of the building =

Cost of project = $22,000

Cost of project per square foot =

Project B : A 10-inch by 8-inch blueprint with a scale of 1 inch to 8 feet and a projected cost of $25,000.

Scale factor =

Length of the office building on blueprint = l =10 inch

Width of the office building on blueprint = b =8 inch

Real length of the office building on blueprint = L

=

L = 80 feet

Real width of the office building on blueprint = B

B = 64 feet

Area of the building =

Cost of project = $25,000

Cost of project per square foot =

Project C : A 15-inch by 12-inch blueprint with a scale of 1 inch to 6 feet and a projected cost of $27,000.

Scale factor =

Length of the office building on blueprint = l =15 inch

Width of the office building on blueprint = b =12 inch

Real length of the office building on blueprint = L

=

L = 90 feet

Real width of the office building on blueprint = B

B = 72 feet

Area of the building =

Cost of project = $27,000

Cost of project per square foot =

Project D :An 8-inch by 6-inch blueprint with a scale of 1 inch to 12 feet and a projected cost of $30,000

Scale factor =

Length of the office building on blueprint = l = 8 inch

Width of the office building on blueprint = b =6 inch

Real length of the office building on blueprint = L

=

L = 96 feet

Real width of the office building on blueprint = B

B = 72 feet

Area of the building =

Cost of project = $27,000

Cost of project per square foot =

Project B > Project  A > Project  D > Project  C

8

step-by-step explanation:

this is a subtraction problem.

10 - 2 = 8

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.