Which of the following would show that the diagonals of quadrilateral DEFG on the coordinate plane are perpendicular?

A. Show that slope of DF¯¯¯¯¯¯ = slope of EG¯¯¯¯¯¯.
B. Show that midpoint of DF¯¯¯¯¯¯ is the same as midpoint of EG¯¯¯¯¯¯.
C. Show that DF = EG.
D. Show that (slope of DF¯¯¯¯¯¯)(slope of EG¯¯¯¯¯¯) = –1.

Is ofat (-25, 0), (25, 0) co- (0, -15), (0, 15)?

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).

329 people went to an amusement park. $906 was made that day. $1.5 per kid. $4 per adult. how many kids and adults went?