If the area of Bianca’s rectangular backyard patio is represented by the expression x2 – 18x + 81, and the length of the patio is represented by the expression x − 9

:

1. what is the expression for the width of the patio? Explain and show all work.

2. what special rectangular shape is the patio? (can be determined by side lengths). Explain and show all work.

9, square

Step-by-step explanation:

1) factor x^2-18x+81 to get answer

x^2-9x-9x+81

x(x-9) -9(x-9)

(x-9) (x-9)=0

x-9=0

x=9

the width is 9

since both the length and width is 9, this is a square

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2