Quadrilateral wxyz is on a coordinate plane. segment xy is on the line x − 3y = −12, and segment wz is on the x − 3y = −6. which statement proves how segments xy and wz are related?

they have opposite reciprocals slopes of one third and −3 and are, therefore, perpendicular.
they have the same slope of negative one third and are, therefore, parallel.
they have opposite reciprocals slopes of negative one third and 3 and are, therefore, perpendicular.
they have the same slope of one third and are, therefore, parallel.

Officer brimberry wrote 24 tickets for traffic violations last week, but only 9 tickets this week. what is the percent decrease? give your answer to the nearest tenth of a percent.

Drag and drop the answers into the boxes to complete this informal argument explaining how to derive the formula for the volume of a cone. since the volume of a cone is part of the volume of a cylinder with the same base and height, find the volume of a cylinder first. the base of a cylinder is a circle. the area of the base of a cylinder is , where r represents the radius. the volume of a cylinder can be described as slices of the base stacked upon each other. so, the volume of the cylinder can be found by multiplying the area of the circle by the height h of the cylinder. the volume of a cone is of the volume of a cylinder. therefore, the formula for the volume of a cone is 1/3 1/2 1/3πr^2h 1/2πr^2h πr^2h πr^2

Simplify a7/a4 a) 1/a3 b)-a/a2 c)a4/a3 d)a3