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3 years ago

Can someone please help?

Mathematics

1 answer:

Artemon [7]3 years ago

7 0

Answer:

11. last option with x ≠ 1 is the choice

Step-by-step explanation:

x² + 5x +6 = (x + 2) (x + 3)

x² + x - 12 = (x - 3) (x + 4)

x² + x - 2 = (x - 1) (x + 2)

(x² + 5x +6) / (x + 4) * (x² + x - 12) / (x² + x - 2)

(x + 2) (x + 3) / (x + 4) * (x - 3) (x + 4) / (x - 1) (x + 2)

= (x + 3) ( x - 3) / (x - 1)

x - 1 ≠ 0 If the denominator of a fraction is zero, the expression is not a legal fraction because it's overall value will be undefined

I think only the last option that has x ≠ 1 is the answer

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Answer: The correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.

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It is given that coordinates of the vertices of quadrilateral DEFG are D(−2, 5) , E(2, 4) , F(0, 0) , and G(−4, 1) .

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Slope formula,

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Slope of EF,

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The slope of opposite sides are equal, it means the opposite sides are parallel.

All four sides do not have the same length. It means it is not a rhombus.

From the figure it is noticed that the opposite sides are parallel.

Therefore, the correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.

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