An artist is hired to create an art display for the interior of a city building. The display is to span a total width of 14 yd. The artist decides to cover this space with equally sized portraits placed side-by-side in a horizontal line with no gaps. Each portrait has a width of 42 in. How many portraits will be used in the display? First fill in the blanks on the left side of the equation using three of the ratios shown. Then write your answer on the right side of the equation.

12

step-by-step explanation:

explanation:

step-by-step explanation:

2/4 is the answer

step-by-step explanation:

x= total pieces

both ate 9 pieces

mindy ate 3 so troy ate 6

6= (1/4)x

x =24

x^2 + 81

we can factor this using difference of square binomials.

rewrite the equation:

x^2 - (-81)

factor:

(a^2 - b^2) = (√a^2 + √b^2)(√a^2 - √b^2)

(x^2 - (-81) = (x + √-81)(x - √-81)

we can remove the - from under the radical by multiplying it by i.

(x^2 - (-81) = (x + i√81)(x - i√81)

(x^2 - (-81) = (x + 9i)(x - 9i)

we can check our answer by using foil:

x^2 - 9ix + 9ix - 81i^2

x^2 - 81^2

i^2 = -1

x^2 + 81