Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted:

rectangle with a length of x plus 25 and width of x plus 15 with a rectangle in the bottom right corner labeled bench that has a length of 10 and width of 3

Write an equation to determine the area, A, of the patio that will be painted.

A = (x + 18)(x + 35)
A = (x + 15)(x + 25) + 30
A = (x + 5)(x + 22)
A = (x + 25)(x + 15) − 30

The answer to your question is Area = (x + 25)(x + 15) - 30

Step-by-step explanation:

Data

Patio                                     bench

base = x + 25                       base = 10

height = x + 15                      height = 3

Process

1.- Calculate the area of the patio considering the bench

Area 1 = (x + 25)(x + 15)

2.- Calcula the area of the bench

Area 2 = 10 x 3 = 30

3.- Calculate the area of the patio

Area = Area 1 - Area 2

-Substitution

Area = (x + 25)(x + 15) - 30

b

step-by-step explanation:

(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.