Determine if the equations are parallel, perpendicular, or neither. 3x + 2y = 6 and y = -3/2x + 5

In the diagram, ab is tangent to c, ab = 4 inches, and ad = 2 inches. find the radius of the circle.

Becca wants to mix fruit juice and soda to make a punch. she can buy fruit juice for $3 a gallon and soda for $4 a gallon. if she wants to make 28 gallons of punch at a cost of $3.25 a gallon, how many gallons of fruit juice and how many gallons of soda should she buy?

For the right triangle shown, the lengths of two sides are given. find the third side. leave your answer in simplified, radical form.