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Schach [20]
3 years ago
5

What is the equation of the line that passes through the points (−2, 1) and (1, 10)?

Mathematics
2 answers:
Anna71 [15]3 years ago
6 0
Slope = (10-1)/(1+2) = 9/3 = 3

y = mx + b
1 = 3(-2) +b
1 = -6 + b
b = 7

equation

y = 3x + 7  
or
3x - y = -7

answer is <span>3x − y = −7 (first choice)</span>
____ [38]3 years ago
5 0
The anser would be the first one  (3x - Y =  -7)
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Solve 5x^2 − 3x + 17 = 9.
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Answer:

The roots of the equation are x = \frac{3+\sqrt{151}i}{10} and x = \frac{3-\sqrt{151}i}{10}

and there are no real roots of the equation given above

Step-by-step explanation:

To solve:

5x² − 3x + 17 = 9

or

⇒ 5x² − 3x + 17 - 9 = 0

or

⇒ 5x² − 3x + 8 = 0

Now,

the roots of the equation in the form ax² + bx + c = 0 is given as:

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}

in the above given equation

a = 5

b = -3

c = 8

therefore,

x = \frac{-(-3)\pm\sqrt{(-3)^2-4\times5\times8}}{2\times5}

or

x = \frac{3\pm\sqrt{9-160}}{10}

or

x = \frac{3+\sqrt{-151}}{10} and x = \frac{3-\sqrt{-151}}{10}

or

x = \frac{3+\sqrt{151}i}{10} and x = \frac{3-\sqrt{151}i}{10}

here i = √(-1)

Hence,

The roots of the equation are x = \frac{3+\sqrt{151}i}{10} and x = \frac{3-\sqrt{151}i}{10}

and there are no real roots of the equation given above

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2 years ago
Ms. Canton has a book case. On three of the shelves there are the same amount of books. On another shelf there are four of her f
andrey2020 [161]

Answer:

y = 3x + 4

Step-by-step explanation:

According to the given question, the expression to represent all the books in Ms. Canton's bookcase is shown below:-

y indicates the total amount of books

x indicates the equal cost of books on 3 bookshelves

while

+4 indicates 4 other books on the fourth bookshelf

So, the expression will be

y = 3x + 4

Therefore the correct answer is y = 3x + 4

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3 years ago
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Answer:

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Step-by-step explanation:

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Answer:

answer: 4.5

Step-by-step explanation:

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