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mcclendoncassandra
03.10.2020 •
Mathematics
What set of reflections and rotations would carry rectangle ABCD onto itself? (2 points) Trapezoid formed by ordered pairs A at negative 4, 1, B at negative 3, 2, C at negative 1, 2, D at 0, 1. a Rotate 180°, reflect over the y-axis, reflect over the line y=x b Reflect over the y-axis, reflect over the x-axis, rotate 180° c Rotate 180°, reflect over the y-axis, reflect over the line y=x d Reflect over the y-axis, rotate 180°, reflect over the x-axis
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Ответ:
(2x - 3)(x - 2).
Step-by-step explanation:
Factor: 2x^2 - 7x + 6
Use the ac method to do this:
Multiply the leading coefficient by the last term:
2 * 6 = 12.
Now we want 2 numbers whose product is 12 and whose sum is -7.
That would be -3 and -4 so we write:
2x^2 -4x - 3x + 6
Now factor by grouping:
= 2x(x - 2) - 3(x -2)
(x - 2) is common to the 2 parts so we have:
(2x - 3)(x- 2).