As shown below, an observer (o) is located 500 feet from a school (s). the observer notices a bird (b) flying at a 39° angle of elevation from his line of sight. what equation and trigonometric function can be used to solve for the height (h) of the bird? what is the height of the bird? you must show all work and calculations to receive full credit.

The roots of the function f(x) = x2 – 2x – 3 are shown. what is the missing number?

The difference of three and the reciprocal of a number is equal to the quotient of 20 and the number. find the number.

Astudent draws two parabolas on graph paper. both parabolas cross the x-axis at (–4, 0) and (6, 0). the y-intercept of the first parabola is (0, –12). the y-intercept of the second parabola is (0, –24). what is the positive difference between the a values for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth