Benin is sawing boards to make a desk. What is the area of the deck?

108.5 ft²

Step-by-step explanation:

The area of the deck is composite of 3 parts: a right ∆, a rectangle and a ∆.

The area of the deck can be determined by calculating the area of each part as shown below.

Area of the right triangle:

Area = ½*base*height

Base = 6 ft

Height = 7 ft

Area = ½*6*7 = 3*7 = 21 ft²

Area of the rectangle:

Area = length * width

Length = 10 ft

Width = 7 ft

Area = 10*7 = 70 ft²

Area of the other traingle:

Area = ½*base*height

Base = 7 ft

Height = 5 ft

Area = ½*7*5

Area = 3.5*5 = 17.5 ft²

Area of the deck = 21 + 70 + 17.5 = 108.5 ft²

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.