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3 years ago

Which statement about the ordered pairs (-9, 3) and (2, - 4) is true for the equation

Mathematics

1 answer:

dybincka [34]3 years ago

4 0

Answer:

(2, - 4) is a solution to the equation

Step-by-step explanation:

Substitute the x and y coordinates of the points into the left side of the equation and if equal to the right side then they are a solution.

(- 9, 3 )

6(- 9) - $\frac{3}{2}$

= - 54 - 1.5 = - 55.5 ≠ 14 ← not a solution

(2, - 4)

6(2) - $\frac{-4}{2}$

= 12 + 2 = 14 ← This is a solution

Thus (2, - 4) is a solution to the equation

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$96 = l \times w\\96=(3w-2) \times w\\96=3w^{2}-2w\\3w^{2}-2w-96=0~~~~~~[now\ factor\ the\ equation]\\ (3w+16)(w-6)=0$

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$w-6=0\\\boxed{w=6~~~~~~~\Rightarrow~~~~positive\ answer\ for\ width\ makes\ sense }
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