Katie wants to hang a painting in a gallery. the painting and frame must have an area of 45 square feet. the painting is 6 feet wide by 7 feet long. which quadratic equation can be used to determine the thickness of the frame, x? (5 points)

4x^2 + 26x + 45 = 0
4x^2 + 26x − 3 = 0
x^2 + 13x − 3 = 0
x^2 + 13x + 45 = 0

Which statement about the relative areas of δabc and δxyz is true? the area of δabc > the area of δxyz the area of δabc < the area of δxyz the area of δabc = the area of δxyz more information is needed to compare.

The volume of gas a balloon can hold varies directly as the cube of its radius. imagine a balloon with a radius of 3 inches can hold 81 cubic inches of gas. how many cubic inches of gas must be released to reduce the radius down to 2 inches?

Acompany manufactures three types of cabinets. it makes 110 cabinets each week. in the first week, the sum of the number of type-1 cabinets and twice the number of type-2 cabinets produced was 10 more than the number of type-3 cabinets produced. the next week, the number of type-1 cabinets produced was three times more than in the first week, no type-2 cabinets were produced, and the number of type-3 cabinets produced was the same as in the previous week.