north Consider an xy-coordinate plane where • the x-axis is horizontal, and runs from west to east as x increases; and • the y-axis is vertical, and runs from south to north as y increases; • each unit of length on this coordinate plane corresponds to 1m: for example, to go from the origin (0,0) to the point (2,-3), one has to move east 2m and then move south 3m. west east south Let an object P move along the graph v= 2x² – x-3 on that coordinate plane, and let two objects A and B move along the x-axis and the y-axis, respectively. Suppose that during the entire movement the line segment PA is always perpendicular to the x-axis, and the line segment PB is always perpendicular to the y-axis. Question: Suppose that when the object A is 1m west of the origin, it moves west at the rate of 2m/s. Find the instantaneous velocity of object B at that time.

Q: 9. What are the coordinates of A' after AB is translated by the rule (x, y) → (x + 5, y – 2)? A 4- 3…

A: As per our guidelines I am solving only first problem please repost other question.  9. A' after AB…

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.