Quadrilateral abcd has vertices a(1, 0) b(5, 0) c (7, 2) d(3, 2). use slope to prove that abcd is a parallelogram.

In here, we will use the slope formula in order to prove that ABCD is a parallelogram. The slope of AB must be equal to CD and the slope of BC must be equal to DA. Using the formula m = (y1-y2) / (x1-x2), we obtain the slope for AB = 0/4, BC = 1, CD = 0/4, DA = 1. We can say that ABCD is a parallelogram as it satisfies AB = CD, and BC = DA

2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

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step-by-step explanation: