On a coordinate plane, trapezoids a b d c and m n p q are shown. the length of a b is 4 units and the length of b d is 2 units. the length of m n is 10 units and the length of n p is 6 units.
is trapezoid abdc the result of a dilation of trapezoid mnpq by a scale factor of two-fifths? why or why not?

yes, because ab and cd are each two-fifths the lengths mn and qp.
yes, because sides ab and cd are parallel to sides mn and qp.
no, because ab is two-fifths the length mn but cd is one-third the length qp.
no, because sides ab and cd have different slopes from sides mn and qp.

Which representation has a constant of variation of -2.5

Which of these would have been most likely to have been a carpetbagger during the reconstruction era? a) a new york businessman who relocated to mississippi b) a former slave who was able to buy land in birmingham c) a carolina-born politician who supported the democratic d) a former confederate officer who owned a farm in memphis eliminate

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).