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pentagon [3]
3 years ago
14

Find an equation for the Line with the given properties ( x-intercept=6) ( y-intercept= -1 )

Mathematics
1 answer:
ruslelena [56]3 years ago
5 0
0=m\cdot6+b\\
-1=m\cdot0+b\\\\
0=6m+b\\
-1=b\\\\
0=6m-1\\
6m=1\\
m=\dfrac{1}{6}\\
\boxed{y=\dfrac{1}{6}x-1}

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Arnold makes a chart to summarize what happens when light interacts with matter and is reflected. Which idea does Arnold need to
jasenka [17]

Answer:

In diffuse reflection, reflected rays move in different directions.

Step-by-step explanation:

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During diffuse reflection, light is reflected in different directions.

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4 0
3 years ago
1.How many combinations are possible from the letters HOLIDAY if the letters are taken?
Lesechka [4]

Using the combination formula, it is found that:

1. A. 7 combinations are possible.

B. 21 combinations are possible.

C. 1 combination is possible.

2. There are 245 ways to group them.

<h3>What is the combination formula?</h3>

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by:

C_{n,x} = \frac{n!}{x!(n-x)!}

Exercise 1, item a:

One letter from a set of 7, hence:

C_{7,1} = \frac{7!}{1!6!} = 7

7 combinations are possible.

Item b:

Two letters from a set of 7, hence:

C_{7,2} = \frac{7!}{2!5!} = 21

21 combinations are possible.

Item c:

7 letters from a set of 7, hence:

C_{7,7} = \frac{7!}{0!7!} = 1

1 combination is possible.

Question 2:

Three singers are taken from a set of 7, and four dances from a set of 10, hence:

T = C_{7,3}C_{10,4} = \frac{7!}{3!4!} \times \frac{10!}{4!6!} = 245

There are 245 ways to group them.

More can be learned about the combination formula at brainly.com/question/25821700

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2 years ago
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Norma-Jean [14]
The answer is 10 pairs of shoes.
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