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3 years ago

Simplify -3(x + 3) + 4x

Mathematics

1 answer:

Nadusha1986 [10]3 years ago

8 0

Answer: x2 + 34x - 13

Step-by-step explanation:

STEP

Trying to factor by splitting the middle term

1.1 Factoring x2+34x-13

The first term is, x2 its coefficient is 1 .

The middle term is, +34x its coefficient is 34 .

The last term, "the constant", is -13

Step-1 : Multiply the coefficient of the first term by the constant 1 • -13 = -13

Step-2 : Find two factors of -13 whose sum equals the coefficient of the middle term, which is 34 .

-13 + 1 = -12

-1 + 13 = 12

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

x2 + 34x - 13

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Given that line is passing through point (-5, 2) and (3, r)

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$\text { Slope } m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ --- eqn 1

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$\begin{array}{l}{-\frac{1}{2}=\frac{r-2}{3-(-5)}} \\\\ {\text { Solving the above expression to get value of } r} \\\\ {=>-\frac{1}{2}=\frac{r-2}{3+5}} \\\\ {=>-8=\frac{r-2}{3+5}} \\\\ {=>-8=2(r-2)} \\\\ {=>-8=2 r-4} \\\\ {=>2 r=-8+4} \\\\ {=>2 r=-4} \\\\ {=>r=\frac{-4}{2}=-2}\end{array}$

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