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Hoochie [10]
3 years ago
12

Find the slope of the line that passes through (23, -30) and (-7, 18).

Mathematics
1 answer:
babymother [125]3 years ago
6 0

Answer:

slope = - \frac{8}{5}

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (23, - 30) and (x₂, y₂ ) = (- 7, 18)

m = \frac{18-(-30)}{-7-23} = \frac{18+30}{-30} = \frac{48}{-30} = - \frac{8}{5}

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Simplify 3x+(4x-3) <br><br> Pls :)
OLga [1]

Answer:

7x - 3

Step-by-step explanation:

3x+(4x-3)

Remove parenthesis

3x + 4x - 3

Combine like terms

3x + 4x = 7x

7x - 3

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A tank holds 1,000 gallons of syrup. Danielle filled 65 5-gallon cans with syrup. How much syrup was left in the tank when she f
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What is f(0) when f(x)=3-2
anyanavicka [17]

Answer:

f(0)=-2

Step-by-step explanation:

We are given that f(x)=3x-2

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Please help!!!!
valentina_108 [34]
ANSWER

\frac{ {t}^{2}  + 4t - 12}{ {t}^{2} - 4 }  =  \frac{t  + 6}{ t + 2}
where,
t \ne - 2



EXPLANATION

We want to simplify the rational expression

\frac{ {t}^{2}  + 4t - 12}{ {t}^{2} - 4 }


We can observe that the numerator of the given rational expression is a quadratic trinomial and the denominator is a difference of two squares



We need to split the middle term in the numerator and rewrite the denominator as a difference of two squares to obtain,




\frac{ {t}^{2}  + 4t - 12}{ {t}^{2} - 4 }  =  \frac{{t}^{2}  + 6t - 2t - 12}{ {t}^{2}  -  {2}^{2} }



We now factor to obtain,

\frac{ {t}^{2}  + 4t - 12}{ {t}^{2} - 4 }  =  \frac{t (t+ 6) - 2(t  + 6)}{ (t  -  2)(t + 2)}


This implies that,

\frac{ {t}^{2}  + 4t - 12}{ {t}^{2} - 4 }  =  \frac{(t - 2) (t  + 6)}{ (t  -  2)(t + 2)}


We now cancel out common factors to obtain,

\frac{ {t}^{2}  + 4t - 12}{ {t}^{2} - 4 }  =  \frac{(t  + 6)}{ (t + 2)}


The restriction is that, the denominator cannot be zero.

Thus

t + 2 \ne0


This implies that,

t  \ne - 2
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The 3rd one is correct
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