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…

Q: Find the angle between lines AB and AC where the point A(4,4,1), the point B(−4,7,7), and the point…

A:

Q: 4- Find the line that passes through the point l2) the Point of intersection of the lines x+2y=3 and…

A: 4.  The equation of the line passing through a point x1,y1=1,2 and the point of intersection of the…

Q: Find the points on the coordinate plane 2,3) and Q(2.-2.-1)

A: Given query is to find point P and Q on coordinate plane.

Q: 2. The x- and y-axes divide the coordinate plane into four regions called

A: Given: The x and y axes divide the coordinate plane into four regions

Q: Find an equation of the line through the point (1, 2) that is perpendicular to th = --x +3 Select…

A: The given question is solved below.

Q: Let A be the point with coordinates (-2, -1, -1) and let B be the point with coordinates (2, 0, 0).…

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Q: 3) The straight line l passes through the points (0,1,5) and (2, –2, 1). Find the y - and z…

A: Using Cartesian equation.

Q: :Find the equation of the plane through (-1, 6, 2) and perpendi cular to the jain of (1, 2, 3) and…

A: Given,           The equation of the pane through -1,6,1 and perpendicular to the join            of…

Q: Find the value of X such that and are perpendicular

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Q: Determine the new coordinates of the point (3,5) when the origin is moved to (2,4) by translation…

A: We have to find the point

Q: the distance between A and B •the distance between A and C

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Q: How can we recognize if the two planes were parallel or not

A: Consider the vector equation of the two given planes as, r→·n1→=d1r→·n2→=d2 Here, n1→ and n2→ are…

Q: II. Fill in the missing entry in each row: Equation of line m X=0 Y=X 2.) X = 2 Point P (x,y) (-2,3)…

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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.