The parametric equations of a curve are x = at, y = at^3 where a is a positive constant. The point P on the curve has parameter p and the tangent to the curve at point P cuts the y−axis at S and the x−axis at T. The point M is the midpoint of ST. Find a Cartesian equation of the curve traced by M as p varies.

Ataxi cab charges $1.75 for the flat fee and $0.25 for each time. write an in equality to determine how many miles eddie can travel if he has $15 to spend.

Which system of linear inequalities is represented by the graph? x-3y > 6 and y? 2x + 4 x + 3y > 6 and y? 2x - 4 x - 3y > 6 and y? 2 - 4 x + 3y > 6 and y > 2x + 4 no be 2 -1.1 1 2 3 4 5 submit save and exit next mark this and retum be

Aplane is taking off from bangladesh headed to new york city. at the same time, a plane from new york city is headed to bangladesh is also taking off. the plane bound to new york city is traveling at 600 mph, while the plane traveling to bangladesh is traveling at 400 mph. how far from new york city will the two planes meet if the distance between new york city and bangladesh is 8,000 miles?