Sally works at a store.
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Draw a diagram to illustrate the problem as shown below.
The length of baseboard needed is AB + BC + CD + DE + FE.
Note that 30 in = 30/12 ft = 2.5 ft.
Because of the door opening,
AB + EF = 12 - 2.5 = 9.5 ft
Also,
BC = DE = 10 ft
CD = 12 ft.
The amount of baseboard needed is
AB + BC + CD + DE + FE
= (AB + EF) + BC + CD + DE
= 9.5 + 10 + 12 + 10
= 41.5 ft
Answer:
41.5 feet of baseboard.
The length of baseboard needed is AB + BC + CD + DE + FE.
Note that 30 in = 30/12 ft = 2.5 ft.
Because of the door opening,
AB + EF = 12 - 2.5 = 9.5 ft
Also,
BC = DE = 10 ft
CD = 12 ft.
The amount of baseboard needed is
AB + BC + CD + DE + FE
= (AB + EF) + BC + CD + DE
= 9.5 + 10 + 12 + 10
= 41.5 ft
Answer:
41.5 feet of baseboard.
Here are all the steps, and what they do:
STEP 1: HORIZONTAL TRANSLATION
We transform
The general transformation is
These transformations translate the graph horizontally, k units to the left if k>0, k units to the right if k<0.
In this case, k = -1, so we translate the original graph 1 unit to the right.
STEP 2: VERTICAL STRETCH
We transform
The general transformation is
These transformations stretch the graph vertically. The graph expands if |k|>1, while it shrinks if 0<|k|<1. If k is negative, we also reflect the graph with respect to the x axis.
In this case, k = 3, so we stretch the graph vertically by a factor 3.
STEP 3: VERTICAL TRANSLATION
We transform
The general transformation is
These transformations translate the graph vertically, k units up if k>0, k units down if k<0.
In this case, k = 4, so we translate the graph 4 units up.
So, we start from the original graph of and we:
- Translate it 1 unit to the right
- Stretch it vertically by a factor 3
- Translate it 4 units up
(the order is important!)
to get the graph of