A projectile is launched into the air on a parabolic trajectory. For t ≥ 0, its horizontal and vertical coordinates are x(t) = u0t and y(t) = −(1=2)gt2 + v0t, respectively, where u0 is the initial horizontal velocity, v0 is the initial vertical velocity, and g is the acceleration due to gravity. Recalling that u(t) = x′(t) and v(t) = y′(t) are the components of the velocity, the energy of the projectile is E(t) = 1 2 m(u2 + v2) + mgy

Which two transformations are applied to pentagon abcde to create a'b'c'd'e'? (4 points) translated according to the rule (x, y) ? (x + 8, y + 2) and reflected across the x-axis translated according to the rule (x, y) ? (x + 2, y + 8) and reflected across the y-axis translated according to the rule (x, y) ? (x + 8, y + 2) and reflected across the y-axis translated according to the rule (x, y) ? (x + 2, y + 8) and reflected across the x-axis

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

What are the interpretations of the line 3x - 15y = 60? x-intercept y-interception a: x 20 - y -4 b: x 5 - y 20 c: x -3 - y 15 d: x -4 - y 20