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Alik [6]
2 years ago
10

What is an equation of the line that passes through the points (3,4) and (-4, -3)?

Mathematics
1 answer:
azamat2 years ago
8 0

Answer:

y=x+1

Step-by-step explanation:

1) <u>Find the </u><u>slope</u>

m=-3-4/-4-3

m=-7/-7

m=1

2) <u>Use </u><u>y</u><u>=mx+</u><u>c</u>

<u>by </u><u>using </u><u>the </u><u>point </u><u>(</u><u>3</u><u>,</u><u>4</u><u>)</u>

<u>4</u><u>=</u><u>1</u><u>(</u><u>3</u><u>)</u><u>+</u><u>c</u>

<u>4</u><u>=</u><u>3</u><u>+</u><u>c</u>

<u>c=</u><u>1</u>

3) <u>The </u><u>answer</u>

y=x+1

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A catering service offers 5 appetizers,4 main courses, and 8 desserts. A customer is to select 4 appetizers,2 main courses,and 3
Alisiya [41]

Answer:

468 ways

Step-by-step explanation:

Given: A catering service offers 5 appetizers, 4 main courses, and 8 desserts

To find: number of ways a customer is to select 4 appetizers, 2 main courses,and 3 desserts.

Solution:

A permutation is an arrangement of elements such that order of elements matters and repetition is not allowed.

Number of appetizers = 5

Number of main courses = 4

Number of desserts = 8

Number of ways of choosing k terms from n terms = nPk=\frac{n!}{(n-k)!}

Number of ways a customer is to select 4 appetizers, 2 main courses,and 3 desserts =  5P4+4P2+8P3

=\frac{5!}{(5-4)!}+\frac{4!}{(4-2)!}+\frac{81}{(8-3)!}\\=5!+\frac{4!}{2!}+\frac{8!}{5!}\\=5!+(4\times 3)+(8\times 7\times 6)\\=120+12+336\\=468

So, this can be done in 468 ways.

7 0
3 years ago
Writing a Linear Equation Given Two Points
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Answer:

y=-3x+5

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to find b

use y=mx+b

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5=b

Hope this helps :)

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Hello!

I believe the answer is C.

I hope it helps!

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