The foci and the vertices of the hyperbola are labeled.
Which equation represents the hyperbola?
(x + 2)2
64
(y + 4)? -
36
-22-20-18-16-14-12 10 -
2
4
6
8
10 12 14 16
18
x
(-12-4)
(-10-4)
1 (6-4)
(8,-4).
© (x+2? . (+ 4) = 1
. (x - 2) - (y )? = 1
(x+2. (V-42=1

With number 11 ( show how you got the answer)

Arational number that is equivalent to -20/4?

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).