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: 8. Find the point (x. y) such that (1, 3) is the midpoint of the line segment connecting a. (x, y)…

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Q: The figure was translated 1 unit left and 10 units down, then rotated 90 counterclockwise. If B"(-2,…

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Q: from one point to another, or [x₁ − x₂] + |y₁ - y₂ for points (x₁, y₁) & (x2, Y2). Plot A(2, 5). A)…

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Q: i = (-1,-1, 7) + t (4, −8, 2), -∞ < t < ∞o.

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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: A) Find all y such that the distance between the points (-1, 5) and (9, y) is 11. y= B) Find ALL x…

A: To find  A) Find all y such that the distance between the points (-1, 5) and (9, y) is 11.   y=   B)…

Q: Q4) find the relation between x,y such that the point (x,y) is equidistant from the points * ?((7,1)…

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Q: D, E, F

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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: Are AB and PQ parallel, and if so, do they paint in the same dırecton? A= (4,4) B= (-S, 2) P= (0,-1)…

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Q: 3. The vertices of a triangle are A(1, -2), B(4, 4) and C(-3, 0). (a) Find the distance between A…

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Q: Find an expression for the exact angle 0 between u and v when = (4,7) and v = (-5, 8). (3, –1, 1)…

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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: Given: AB with coordinates of A(-3,-1) and B(2,1) A'B with coordinates of A'(-1,2) and B'(4,4) Which…

A: Coordinates of AB is A-3,-1 and B2,1. Coordinates of A'B' is A'-1,2 and B'4,4.   Consider the A and…

Q: Find the distance between each pair of points: с) (-4, 1) and (4, 5) d) (x — 2, у —3) and (х + 4, у…

A: Distance between two points Ax1, y1 and Bx2, y2 is, AB=x2-x12+y2-y12

Q: H.w.. Find the distance from the point (2,12)andthe Line

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Q: Show that the straight lines whose direction cosines are given by the equations al + bm + cn = 0 and…

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Q: The length of the line segment joining the two points of intersection is 3 – x = y = 7+1 With the…

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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.