Consider the net of a triangular prism where each unit on the coordinate plane represents four feet. if a sheet of plywood measures 4 ft x 8 ft, how many sheets of plywood will a carpenter need to build the prism?
a) 2
b) 3
c) 4
d) 5

2 sheets of plywood will be needed.

Step-by-step explanation:

See the attached diagram.

Each three square plywood has area 1 units by 3 units = 4 feet by 12 feet = 48 feet square.  {Since each unit on the coordinate plane represents four feet}

Now, the two triangular plywood has area half of a unit square area.

So, two triangular plywood has total area = 1 unit by 1 unit = 4 feet by 4 feet = 16 feet square.

Therefore, the total area of plywood required to make the triangular prism is (48 + 16) = 64 feet square.

Now, if a sheet of plywood measures 4 ft by 8 ft i.e. 32 feet square, then the carpenter will need such sheets of plywood. (Answer)  

answer is b

step-by-step explanation:

answer: -10

step-by-step explanation:

s(t) = 1 - 10t

s(x) = 1 - 10x

s(x + h) = 1 - 10(x + h)

            = 1 - 10x - 10h

s(x + h) - s(x) = 1 - 10x - 10h - (1 - 10x)

                      = 1 - 10x - 10h - 1 + 10x

                      = -10h

= -10