If the equation y = 1/6(x + 12) were graphed in the xy-plane, which of the following statements would be true of the graphed line? a. it would be perpendicular to the graph of y = 1/6x + 3. b. it would be parallel to the graph of 12y = 2x + 3. c. it would have the same slope as the graph of x + 6y = 18. d. it would have the same y‑intercept as the graph of y = 1/6x + 12.

Martin likes to make flower bouquets that have 3 daffodils and 4 tulips per vase. a daffodil has a mass of d grams, a tulip has a mass of t grams, and the vase has a mass of u grams. the expression 5(3d + 4t + v) describes the mass of 5 bouquets. match each amount in the situation with the expression that represents it. situation expression number of bouquets mass of one bouquet mass of the tulips in one bouquet 4t mass of the daffodils in one bouquet 3d + 4t + v

Geometry in the diagram, ∠abc is a right angle. ∠dbc = 30°27'40". find the measure of ∠abd.

Solve the equation by completing the square. x^2+2x=17