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ololo11 [35]
3 years ago
6

Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answ

er in the box provided or use the upload option to submit your solution.
(-3, 5) and (-2, -6)
Mathematics
1 answer:
romanna [79]3 years ago
5 0

Answer:

11x+y = -28

Step-by-step explanation:

We have two points so we can find the slope

m = (y2-y2)/(x2-x1)

   = (-6-5)/ (-2--3)

   = -11(-2+3)

   = -11/1

The slope is -11

We can use point slope to make an equation

y-y1 = m (x-x1)

y-5 = -11(x--3)

y -5 = -11(x+3)

Distribute

y-5 = -11x-33

Add 5 to each side

y-5+5 = -11x-33+5

y = -11x-28

Add 11x to each side

11x+y = -11x+11x-28

11x+y = -28

This is the standard form of a line

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Answer:

1.) The product of 12 and 3/4 is less than 12. This is because you are multiplying 12 by a number less than 1.

2.) The product of 5 and 1/2  is less than 5, this is because you are multiplying 5 by a number less than one.

Step-by-step explanation:

If multiplied by a number less than one then it will be smaller than original

If multiplied by one will be the same as original

If multiplied by a number greater than one it will be greater than original

3 0
3 years ago
What is the prime factorization of 81m^2 x^3? A) 9^2 • m^2 • x^3 B) 3^3 • m^2 • x^3 C) 3^3 • m • x D) 3^4 • m^2 • x^3
Diano4ka-milaya [45]

81m^2x^3=3^4\cdot m^2\cdot x^3\to\boxed{D.}

8 0
3 years ago
Simplify 5 (3 1/5​ +2 4/5​−0.6)
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Step-by-step explanation:

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7 0
3 years ago
Write a story problem in which you would have to multiply 5 × (-1/3) to find the answer.
timofeeve [1]

Answer

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Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Factor completely 15x2 - 6x + 5xy – 2y
vagabundo [1.1K]

The complete factorization of 15x² - 6x + 5xy - 2y is (5x - 2)(3x + y)

Step-by-step explanation:

If we have an expression of four terms, then we factorize it by using

the grouping factorization

In grouping factorization we do that

1. Collect each two terms with common factors into 2 brackets

2. Take the common factor from each bracket, which make the brackets

    equal each other

3. Take the bracket as a common factor, the answer will be 2 factors

    multiply by each other

∵ The expression is 15x² - 6x + 5xy - 2y

- Take the first 2 terms in a bracket and the last 2 terms in another

  bracket

∴ (15x² - 6x) + (5xy - 2y)

∵ The common factor of 15x² and 6x is 3x

- Divide each term by 3x

∵ 15x² ÷ 3x = 5x

∵ 6x ÷ 3x = 2

∴ (15x² - 6x) = 3x(5x - 2)

∵ The common factor of 5xy and 2y is y

- Divide each term by the common factor y

∵ 5xy ÷ y = 5x

∴ 2y ÷ y = 2

∴ (5xy - 2y) = y(5x - 2)

∴ (15x² - 6x) + (5xy - 2y) = 3x(5x - 2) + y(5x - 2)

∵ The bracket (5x - 2) is a common factor of the two terms

- Divide each term by the common factor (5x - 2)

∵ 3x(5x - 2) ÷ (5x - 2) = 3x

∵ y(5x - 2) ÷ (5x - 2) = y

∴ 3x(5x - 2) + y(5x - 2) = (5x - 2)(3x + y)

∴ 15x² - 6x + 5xy - 2y = (5x - 2)(3x + y)

The complete factorization of 15x² - 6x + 5xy - 2y is (5x - 2)(3x + y)

Learn more:

You can learn more about the factors in brainly.com/question/10771256

#LearnwithBrainly

4 0
3 years ago
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