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Liono4ka [1.6K]
2 years ago
13

Which is the graph of the linear equality x-2y>-12?

Mathematics
1 answer:
Paraphin [41]2 years ago
4 0

x - 2y > - 12

- 2y >  - x - 12

2y  < x + 12

y <  \frac{x}{2}  + 6

plot \: the \: line \: of \: eq \: y =  \frac{x}{2}  + 6

<h3>Now to find the solution for the inequality, let's substitute 1 point in the inequality.</h3>

<h3>Consider O(0,0)</h3>

0 <  \frac{0}{2}  + 6

0 < 6 \\ true

<h2>The region that contains the point O(0,0) is the accepted part.</h2>

<h2>Your answer is the last/first one.</h2>

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Answer:

2x + y = 4

Step-by-step explanation:

The two-point form of the equation of a line is:

y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1)

We have:

x1 = 3

y1 = -2

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y2 = -8

Plug in all the values where they belong in the equation above.

y - (-2) = \dfrac{-8 - (-2)}{6 - 3}(x - 3)

Simplify.

y + 2 = \dfrac{-6}{3}(x - 3)

y + 2 = -2(x - 3)

y + 2 = -2x + 6

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2 years ago
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3 years ago
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oee [108]

Answer:

4(x - \frac{1}{2} )² = 0

Step-by-step explanation:

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