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mr Goodwill [35]
3 years ago
14

(-2, 1/2), (1, -2/3) Find the equation of the line​

Mathematics
1 answer:
Luda [366]3 years ago
4 0

9514 1404 393

Answer:

  7x +18y = -5

Step-by-step explanation:

The slope is ...

  m = (y2 -y1)/(x2 -x1)

  m = (-2/3 -1/2)/(1 -(-2)) = (-7/6)/(3) = -7/18

The y-intercept is ...

  b = y -mx

  b = 1/2 -(-7/18)(-2) = 1/2 -7/9 = -5/18

Then the slope-intercept form of the equation is ...

  y = -7/18x -5/18

Multiplying by 18 and adding the opposite of the x-term gives the equation in standard form. The standard form equation is ...

  7x +18y = -5

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3 years ago
Recall that rational numbers are numbers that can be represented as the ratio, or fraction, of two integers. When expressed as d
fredd [130]

Answer:

Repeating

Terminating

Repeating

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Step-by-step explanation:

5 2/7 as improper fraction is 37/7 and it equals 5.28571428571 which makes it repeating because the numbers don't stop.

7/16 is equal to 0.4375 making it terminate because the numbers stop.

14 5/9 as an improper fraction is 131/9 and 131/9 is 14.5555555556 and that is a never ending pattern so it is repeating.

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3 0
1 year ago
Which linear inequality is represented by the graph? y ≥1/3 1/3x – 4 y ≤ x – 4 y ≤1/3x + 4 y ≥1/3x + 4
jenyasd209 [6]

Answer:

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The product of two consecutive odd integers is 782. What are the integers?
Alex Ar [27]

Call the smaller of the two odds = n

Call the next number in the sequence = n + 2

n*(n +2) = 782           Remove the brackets.

n^2 + 2n = 782          Subract 782 from both sides.

n^2 + 2n - 782 = 0    We are going to have to factor this.

Discussion

This problem can't be done the way it is written. The product of an odd integer with another odd integer is and odd integer. There are no exceptions to this. So you need to give a number that has two factors very near it's square root for this question to work.

For example, you could use 783, (which factors) instead of 782 .

Solve

n^2 + 2n - 783 = 0

(n + 29)(x - 27) = 0

<u>Solution One</u>

n - 27 = 0

n = 27

The two odd consecutive integers are 27 and 29.

<u>Solution Two</u>

n + 29 = 0

n = - 29

The two solution integers are -29 and - 27 Notice that - 29 is smaller than - 27.

7 0
4 years ago
What is the probability of picking a blue coin out of a bag that contains 5 blue and 10 red coins
Neko [114]

the probability is 5/15 or 1/3.

You add up all the coins (5+10=15) and since there’s 5 blue coins in the bag, you put 5 over 15. You simplify that to 1/3.

hope this helped !!

6 0
3 years ago
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