Answer:
Perpendicular: -2/5
Parallel: 5/2
Step-by-step explanation:
The slope-intercept formula is y=mx+b, where mx is the slope.
So in the equation y = 5/2x, 5/2 is understood as the slope.
To find a perpendicular slope you have to do the opposite (sign), reciprocal (flip denominator and numerator) of the original number.
Therefore 5/2 become negative, and then the numerator and denominator switch sides. (-2/5)
Parallel slope is the exact same as the original one so nothing changes. (5/2)
3x^2 + 4x - 4 = 3x^2 + 6x - 2x - 4 = (3x^2 + 6x) + (-2x - 4) = 3x(x + 2) - 2(x + 2) = (3x - 2)(x + 2)
Therefore, from the given options, (3x - 2) is one of the factors of the given polynomial.
0.0275
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