Aparabola and its directrix are shown on the graph. on a coordinate plane, a parabola opens upward. it has a vertex at (0, 0) and a directrix at y = negative 2. what are the coordinates of the focus of the parabola? (0,2) (0,–2) (2,0) (–2,0)

Find the missing factor. 7s2 + 25s + 12 = (s + 3)( ).

1. are the triangles similar and if so why? what is the value of x? show your work.

Find the area and perimeter of each composite figure. use 3.14 for π. round your answer to the nearest tenth. a square and a right triangle share a common side. image long description a 3-meter by 0.5-meter rectangle has triangles attached like wings to the 3-meter sides. the other two sides of both triangles measure 2.5 meters. the height of each triangle is 2 meters. a 6-inch by 4-inch rectangle has 2 half-circles attached like wings to the 6-inch sides. the radius of each half-circle is 3 inches. find the surface area and volume of each figure. use 3.14 for π. round your answer to the nearest tenth. a right circular cylinder has a base radius of 6 yards and a height of 20 yards. a rectangular prism has a base that is 9 centimeters long and 7 centimeters wide. the height is 2 centimeters. a rectangular prism has a base that measures 11 millimeters by 11 millimeters. the height is 11 millimeters.