Emily wants to hang a painting in a gallery. The painting and frame must have an area of 31 square feet. The painting is 5 feet wide by 6 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?

4x^2 + 22x - 1 = 0

Step-by-step explanation:

Given that

The area is 31 square feet

And, the painting is 5 feet wide by 6 feet long

We need to find out which quadratic equation can be used

So,

(5 + 2x)(6 + 2x) = 31

30 + 10x + 12x + 4x^2 = 31

30 + 22x + 4x^2 = 31

4x^2 + 22x - 1 = 0

The above equation can be used for measuring out the thickness of the frame x

h df tyjgtyj ttd y ytkgfty ty

step-by-step explanation:

tyty jry j y yj yttj yhgtyj y ghyj ytthj

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.