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? a. 4x^2 + 26x + 45 = 0b. 4x^2 + 26x − 3 = 0c. x^2 + 13x − 3 = 0d. x^2 + 13x + 45 = 0

Step-by-step explanation:

Given that the total area of Frame and Painting is 45 Sq Fts.

Dimensions of painting are 6 feet and 7 feet. Hence.

Let us assume the uniform thickness of frame is x

Hence the Length of frame with painting = 7+2x

and breadth = 6+2x

Area of the frame = length * breadth

Hence option b is correct.

13

step-by-step explanation:

169-1=168

168-3=165

165-5=160

160-7=153

153-9=144

144-11=133

133-13=120

120-15=105

105-17=88

88-19=69

69-21=48

48-23=25

25-25=0

since it took 13times to completely subtract it hence its square root is 13

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1