Question 1 of 4 An art museum has a pentagon-shaped room. When drawn to scale on a coordinate grid, the corners of the room are points A(14,18);
B(10,18): C(10,9): D(12.7): E(18,12.5), shown in feet. The walls are 10 feet high.
The museum is going to paint four of the walls: AB, BC, DE, and AE. Assume one gallon of paint is enough to cover 268 square feet.
How many gallons of paint should the museum purchase? Enter your answer as a whole number.
30
28
26
24
20
1
10
12 14
16
18
20 22 24 26 28 30

what is the information provided?

step-by-step explanation:

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.