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Karo-lina-s [1.5K]
3 years ago
8

Find the equation of the straight line passing through the point (3,5)

Mathematics
1 answer:
marysya [2.9K]3 years ago
6 0

Answer:

Step-by-step explanation:

y = 3x + 2

Slope m = 3

slope of the line perpendicular to this line = -3

Point (3,5)

y- y1 = m(x-x1)

y - 5 = -3(x-3)

y - 5 = -3*x-3 * -3

y - 5 = -3x + 9

     y = -3x + 9 +5

     y = -3x + 14

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Answer:

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Step-by-step explanation:

complementary angles are angles that add up to 90 degrees

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In the first one you would

1. take 90-80

2. you get your answer of 10!

i hope this helps :)

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meriva

Answer:

subtract 11 from both sides

Step-by-step explanation:

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3 years ago
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3 years ago
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find the number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next
zalisa [80]

Answer:

The number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E​ is 10,080 ways

Step-by-step explanation:

We need to find the number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E​.

There are 9 letters in the word WONDERFUL

There is a condition that letter R is always next to E.

So, We have two letters fixed WONDFUL (ER)

We will apply Permutations to find ways of arrangements.

The 7 letters (WONDFUL) can be arranged in ways : ⁷P₇ = 7! = 5040 ways

The 2 letters (ER) can be arranged in ways: ²P₂ =2! = 2 ways

The number of ways 'WONDERFUL' can be arranged is: (5040*2) = 10,080 ways

So, the number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E​ is 10,080 ways

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