Square ABCD will be centered at the origin on the coordinate plane. A rigid transformation of preimage ABCD is performed to image A'B'C'D'. Determine which of the following characteristics or corresponding parts will not remain the same. A the coordinates of B' after a translation of B the measure of B' after a reflection across the line y = x C the perimeter of square A'B'C'D' D the coordinates of A' after a rotation of 360° counterclockwise about the origin 1 2 3 4 5 6 7 8 9 10​

Evaluate 8x2 + 9x − 1 2x3 + 3x2 − 2x dx. solution since the degree of the numerator is less than the degree of the denominator, we don't need to divide. we factor the denominator as 2x3 + 3x2 − 2x = x(2x2 + 3x − 2) = x(2x − 1)(x + 2). since the denominator has three distinct linear factors, the partial fraction decomposition of the integrand has the form† 8x2 + 9x − 1 x(2x − 1)(x + 2) = correct: your answer is correct. to determine the values of a, b, and c, we multiply both sides of this equation by the product of the denominators, x(2x − 1)(x + 2), obtaining 8x2 + 9x − 1 = a correct: your answer is correct. (x + 2) + bx(x + 2) + cx(2x − 1).