Given the triangle determined by the point A(6,3) and the intersection of the line r: x +y -3=0 with the coordinate axes, calculate the coordinates of the midpoints of the sides of the triangle and the coordinates of the barycenter, cut-off point of the medians

Q: Find the angle between the following straight line y=4-2x,y=3x+7

A: To find the angle

Q: unit perpendicular

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Q: Plot the following sets of points in a Cartesian plan given set of points consecutively to form a…

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Q: Find the distance between each pair of points: a) (0, - 3) and (4, 0) c) (3, 2) and (5, - 2) b) (-2,…

A: Distance between two points x1, y1  and x2, y2 is  d = x1 - x22 + y1-y22  a) (0, -3) and (4, 0) d =…

Q: Find the vertices of the triangle whose sides are the lines x = 0, x + y + z = 0, and 3x - 4y + 5z =…

A: Sol:- we need to find the points where these lines intersect.We'll denote the first intersection…

Q: Use a rectangular coordinate system to graph the circle with center (1, -1) and radius 1.

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Q: Find the obtuse angle formed by the lines x+3y+3=0 and x-y-2=0.

A: Topic - angle between lines We will take absolute value of angle as sign depends Up on which line we…

Q: Find the distance from the point (4, 9) to the line y = 2x.

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Q: Use coordinate plane formulas (slope, distance, midpoint) to determine whether parallelogram ABCD…

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