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Vaselesa [24]
4 years ago
5

Write the equation in point-slope form when m=1/9 passing through (-8, 4)

Mathematics
1 answer:
Ratling [72]4 years ago
7 0

Answer:

y-4 = 1/9(x+8)

Step-by-step explanation:

The point slope form of the equation of a line is

(y-y1) = m(x-x1)

We have a slope of 1/9 and a point (-8,4)

y-4 = 1/9(x--8)

y-4 = 1/9(x+8)

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What is the difference? StartFraction 2 x + 5 Over x squared minus 3 x EndFraction minus StartFraction 3 x + 5 Over x cubed minu
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Answer:

<h2>\frac{(x + 5)(x + 2)}{ {x}^{3} - 9x }</h2>

First option is the correct option.

Step-by-step explanation:

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Multiply the parentheses

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When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression

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Distribute -x through the parentheses

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Using {a}^{2}  -  {b}^{2}  = (a + b)(a - b) , simplify the product

\frac{2 {x}^{2}  + 5x + 6x + 15 - 3x - 5 -  {x}^{2}  - x}{x( {x}^{2}  - 9)}

Collect like terms

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Subtract the numbers

\frac{ {x}^{2}  + 7x + 10}{ x({x}^{2}   - 9)}

Distribute x through the parentheses

\frac{ {x}^{2}  + 7x + 10}{ {x}^{3}  - 9x}

Write 7x as a sum

\frac{ {x}^{2} + 5x +2x + 10 }{ {x}^{3} - 9x }

Factor out X from the expression

\frac{x(x + 5) + 2x + 10}{ {x}^{3}  - 9x}

Factor out 2 from the expression

\frac{x( x + 5) + 2(x + 5)}{ {x}^{3} - 9x }

Factor out x + 5 from the expression

\frac{(x + 5)(x + 2)}{ {x}^{3} - 9x }

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