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3 years ago

What is the value of the expression 2x² – 5x + 6 when x = -2?

Mathematics

1 answer:

Svet_ta [14]3 years ago

3 0

Answer:

24 is correct answer

Step-by-step explanation:

$2 {x}^{2} - 5x + 6 \\ = 2 {( - 2)}^{2} - 5 \times ( - 2) + 6 \\ = 2 \times 4 + 10 + 6 \\ = 8 + 10 + 6 \\ = 24$

hope it helped you:)

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MariettaO [177]

Option B: a counterclockwise rotation of 90° about the origin

Explanation:

From the graph, we can see the coordinates of the figure A are (0,2), (-1,6) and (-4,4)

The coordinates of the figure A' are (-2,0), (-6,-1) and (-4,-4)

Option B: a counterclockwise rotation of 90° about the origin

The transformation rule for a coordinate to reflect a counterclockwise rotation of 90° about the origin is given by

$(x,y)\implies (-y,x)$

Let us substitute the coordinates of the figure A

Thus, we have,

$(0,2)\implies(-2,0)$

$(-1,6)\implies (-6,-1)$

$(-4,4)\implies(-4,-4)$

Thus, the resulting coordinates are equivalent to the coordinates of the figure A'.

Therefore, the figure is a counterclockwise rotation of 90° about the origin .

Hence, Option B is the correct answer.

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