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PolarNik [594]
3 years ago
12

39. State the equation for the line described below.

Mathematics
1 answer:
devlian [24]3 years ago
8 0

Answer:

Step-by-step explanation:

39). y = -\frac{7}{8} x + 3

40). m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }

y - y_{1} = m( x - x_{1} )

(- 7, 5)

( - 12, 4)

m = ( 4 - 5 ) / ( - 12 + 7) = 1/5

y - 5 = (1/5)(x + 7) ⇒ y = \frac{1}{5} x + 6.4

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Express the product in simplest form.
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The product in simplest form is (x - 4)

<em><u>Solution:</u></em>

<em><u>Given expression is:</u></em>

\frac{8}{2x+8} \times \frac{x^2-16}{4}

We have to find the product in simplest form

In the given expression,

2x + 8 = 2(x+ 4)

We know that,

a^2-b^2=(a+b)(a-b)

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x^2-16 = x^2-4^2 =(x+4)(x-4)

Substitute these in given expression

\frac{8}{2(x+4)} \times \frac{(x+4)(x-4)}{4}

Cancel the common factors,

\frac{8}{2(x+4)} \times \frac{(x+4)(x-4)}{4} = x - 4

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Factor:<br><br><br>(m+2)^2−(m+2)+mn·(n+2)+2n(n+2)
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EXPLANATION

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