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kvv77 [185]
3 years ago
5

Factor 2x^2-4x-30 completely. A. 2(x-5)(x+3) B. (2x-5)(x+3) C. (2x+3)(x-5) D. 2(x-3)(x+5)

Mathematics
1 answer:
OLEGan [10]3 years ago
4 0

Answer:

<h2>2(x - 5)(x + 3)</h2>

Step-by-step explanation:

2x^2-4x-30\\\\=2\cdot x^2-2\cdot2x-2\cdot15\\\\=2(x^2-2x-15)\\\\=2(x^2+3x-5x-15)\\\\=2[x(x+3)-5(x+3)]\\\\=2(x+3)(x-5)

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Explanation:

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Also, given that the triangle is translated 4 units down and 3 units left.

We need to determine the coordinates of the vertex C after translation.

The triangle is shifted 4 units down means subtracting 4 units from the y - coordinate of the graph.

Thus, it can be written as y-4

Also, the triangle is shifted 3 units left means subtracting 3 units from the x - coordinate of the graph.

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Thus, (x, y) \rightarrow(x-3, y-4) ; (5,-1) is the coordinates of C after translation.

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