10' (0302 MC) Addison and Kelsey are running on a path modeled by x2 +y2 - 12X - 8y - 309 = 0, where the distance is in meters What is the maximum distance between the runners at any given time? (1 point) O 38 meters O 35 meters O 20 meters O 19 meters 11. (03.03 MC) Which of the following equations represents the parabola with vertex at (2, 4) and directrix y = 7? (1 point) O ( - 4) 2 = -12( X - 2) O ( x - 2)2 =-12(y -4) O ( + 2 ) 2 = 12 (x + 2 ) O ( x+ 2) 2 = 4(y + 4)2' (03.01 LC) All changes saved Which conic section is formed in the image shown? (1 point) 0 Ellipse O Hyperbola 3. (03.01 LC) To form a hyperbola, what is the relationship between the base of the cone and the angle of the plane that intersects the cone? (1 point) O The plane is parallel to the base of the cone. O The plane may be perpendicular to the base of the cone. O The plane must be at a 45 angle to the base of the cone. O The plane is at an angle that is neither parallel nor perpendicular to the base of the cone. 151(0303 MC) The path of a skateboarder can be modeled by the equation (X - 3)2 = -4(y - 9), where distance is in feet and air resistance is insignicant If the skateboarder makes a jump from a ramp at x = 0, what is her maximum height and how far is she horizontally from the end of the ramp when she lands? (1 point) O Maximum height 9 feet; horizontal distance 12 feet O Maximum height 9 feet; horizontal distance 9 feet O Maximum height 7 feet; horizontal distance 12 feet O Maximum height 3 feet; horizontal distance 9 feet 6. (03.02 MC) Which is the equation of the circle that has a diameter with endpoints located at (5, -3) and (11, 5)? (1 point) O ( x - 5 ) 2 + ( 1 + 3 ) 2 = 25 O ( x - 7) 2 + 1 2 = 100 O ( x - 8 ) 2 + ( 1 - 1 ) 2 = 25 O ( x - 17 ) 2 + (1 + 5 ) 2 = 1005. (03.01 LC) Which of the following equations would correspond to a conic section formed when a plane intersects a cone parallel to the base? (1 point) 0 X2+y2=32 1. (03.01 LC) Which degenerate conic is formed when a double cone is sliced at the apex by a plane parallel to the base of the cone? (1 point) Two lines Point Hyperbola O Ellipse14. (03.03 MC) Which is the domain and range of the parabola with the equation y = 0.5(x2 - 10x - 5)? (1 point) O D: (-00, - 15]; R: (-00, 00) O D: [-15, 00); R: (-00, 00) O D: (-00, 00); R: (-00, -15] O D: (-00, 00); R: [-15, 00)9. (03.02 MC) Which of the following is the center and radius of the circle? (1 point) x2 + y2 + 4x - 14y+46=0 Center (2, - 7); 1 = 7 Center (-4, 14); r = 146 Center (4, -14); r = 46 O Center (-2, 7); r = 17