Triangle ABC is isosceles. The vertex angle,∠B, is four times the size of the base angles. Which of the following are true? A. m∠B= 60°
B. m∠B= 120°
C. m∠A= 30°
D. m∠A= 60°
E. m∠C= 60°
F. m∠C= 30°

Heather is writing a quadratic function that represents a parabola that touches but does not cross the x-axis at x = -6. which function could heather be writing? fx) = x2 + 36x + 12 = x2 - 36x - 12 f(x) = -x + 12x + 36 f(x) = -x? - 12x - 36

The point (-7, -24) is on the terminal ray of angle 0 which is in standard position. a student found the six trigonometric values for angle e. the student's answers are shown. which value(s) are incorrect? sin(8) cos(8) 24 tan(0) sin(0)=25 cos(0) -- tan(ⓡ) - - 24 csc(o)=2 sec(0) --25 cot(6) - za csc(o) sec(0) cot(0) done

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).