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.

1)

2) Rectangular shape is square shape patio !

Step-by-step explanation:

Here we have ,  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: We need to find

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

We know that area of rectangle =

⇒

Factorizing RHS:

⇒

⇒

⇒

⇒

2. what special rectangular shape is the patio?

Now , we see that

A rectangle whose length & width are equal is known as a square ! Hence ,  Rectangular shape is square shape patio !

answer: 80,000

step-by-step explanation:

the population doubles every day.

10,000*2=20,000 day 4

20,000*2=40,000 day 5

40,000*2=80,000 day 6

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c