Answer:
1.slope is 2
2.slope is -3/5
3.slope is 1
4.vertical line slope 0 undefined
5.x=-5
6.horizontal line slope 0 undefined
Step-by-step explanation:
Explanation:
The expression is given below as

Concept:
We will apply the bsolute rule below

By applying the concept, we will have

Hence,
The final answer is
Using the scale ratio, the length of the dress is: 6 ft.
<h3>How to Apply Scale to Measurement?</h3>
Given a scale for the dress pattern as, 2 inches : 1 foot, it means 2 inches of the model equals 1 foot of the actual dress.
Therefore, using the scale ratio, let x represent the length of the dress. We would have:
2/1 = 12/x
x = (12 × 1)/2
x = 6 ft.
The length of the dress is: 6 ft.
Learn more about scale on:
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<span>Since the problem specifically stated that the people
gather around the table, therefore we assume a circular table hence a circular
formation of gathering. Since the
arrangement is important therefore we use the permutation. </span>
nPr = n! / (n – r)!
<span>However before we proceed with our calculation we MUST
first affix a reference point since the formation is circle. Imagine that the
reference point is the 1st point made when you draw a circle, so it
is the both the 0 degrees and the 360 degrees.</span>
Let us say that one of the actors is the reference point.
So there are now only 8 actors which places can be interchanged. Since all
actors have to sit together, hence the arrangements are:
8P8 = 8! / (8 – 8)! = 40,320
Now since there are 13 total people, therefore the
arrangements of the other 4 people are:
4P4 = 4! / (4 – 4)! = 24
We multiply all to get the total number of arrangements:
<span>Total arrangements = 40320 * 24 * 1 (1 is the reference point)</span>
<span>Total arrangements = 967,680</span>
Answer:
k = 3/7
Step-by-step explanation:
121212kkk = 848484
divide each side by 121212
kkk = 7
3k = 7
k = 3/7