You are designing a room for a house and are drawing a floor plan. The room is actually 18 feet wide. On your floor plan, you draw the room as 6 inches wide. What is the scale factor (scale) for the floor plan?

Answer:

1(a) = 10

1(b) = 9

1(c) = 12

2(a) = 8

2(b) = 10

2(c) = 1

Step-by-step explanation:

1(a) = 22 - 2.6

     = 22 - 12 = 10

1(b) = 6 - 1/4 . 16 + 21 / 3

     = 6 - 16/4 + 7

     = 6 - 4 + 7

     = 9

1(c) = (8-5). (5-3)^2

     = 3*2^2

     = 3*4

     = 12

2(a) = 4(x-2)/(x-1) when x = 0

       = 4(0-2)/ (0-1)

       = 4*-2/-1

       = -8 / -1

       = 8

2(b) = (-3x^2 + 4) / 4 when x = -2

       = (6^2 + 4) / 4

        = (36 + 4) / 4

       = 40 / 4 = 10

2(c) = [-2x/4 + 4*(x-1)] / x^2 - 1 when x = 2

      = (-1 + 4 * 1) / 4 - 1

      = 3 / 3

      = 1

The flat surfaceson a rectangular prism are called faces because they form the exterior of the rectangularprism, and they are the only parts of the prism.

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

A rectangularprism is a polyhedron with two congruent and parallel bases.

Rectangular prism is also called a cuboid

The flat surfaces on a rectangular prism are called faces because they form the exterior of the rectangular prism, and they are the only parts of the prism that can be seen from the outside.

Each face has two dimensions (length and width) and all six faces together form the rectangular prism's shape.

Hence, the flat surfaces on a rectangularprism are called faces because they form the exterior of the rectangular prism, and they are the only parts of the prism.

To learn more on Three dimensional figure click:

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For this case we observe that we have the following inequality:

-4 (x + 8) + 25 ≤ -2 + 1 (x - 50)

The first step is the distributive property on both sides of the inequality:

-4x - 32 + 25 ≤ -2 + 1x - 50

This step is written correctly.

The second step is to add similar terms:

-4x - 7 ≤ 1x - 52

This step is written correctly.

The third step is to pass the number 7 adding on the right side of the inequality:

-5x ≤ -45

This step is written correctly.

The last step is to divide between 5 both sides of the inequality. Then, multiply by -1. When multiplied by -1, the direction of the inequality changes:

x ≤9

This step is written incorrectly.

Answer:

Andrew did not change the symbol of the inequality in the last step.