2. Find the distance between the two points. Round to the nearest tenth if necessary. (0,9), (-8, -4)
21
15.3
9.4
233

Solve the following pair of equations for x and y: ax/b_ by /a= a +b; ax - by = 2ab

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).

Determine the vertex form of g(x) = x2 + 2x - 1. which graph represents g(x)? -nw -3-2-1, 1 1 2 3 -3 2- 1 -3- 1 2 3 - 1 2 3