Find the point @ along the directed line segment from point R(-2, 4) to point S(18, -6) that divides the segment in the ratio such that RQ : QS = 3: 7. Verify your lengths at the end using the distance formula.

Q: Find the distance between the points (3,6) and the line x - 2y +3 =0.

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Q: Find the distance between the points

A: Given,          The two points are A2,8 and B-8,2.

Q: Find the angle between the lines y-V3x-5=0 and 3y-x+6=0. %3D

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Q: Find the distance of the point (1,3) from the line 2x-3y+9=0 measured along a line x-y+1=0.

A: Firstly we will find a line passing through (1,3) and parallel to x-y+1=0 Then the point of…

Q: Find the angle formed by the line 3x+4y-12=0 with the x-axis.

A: Angle of the line along x-axis

Q: Find the distance from the point (2, 2, 3) to the line x = 0, y = 2+2t, z = 3+ t.

A: Find the distance from the point (2, 2, 3) to the line x= 0, y=2+2t, z=3+t.

Q: Find the exact distance the point p (-2,-4) and the line y=1/3x+2

A: Solution ) y = (1/3)x +2  Slope of perpendicular to this line would be  m = - ( 1/1/3)  m = -3…

Q: What is the distance between the points M(-3,1) and N(7,-3)?

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Q: nd the midpoint M of the line segment joining the points P = (-2, 8) and Q = (-6, -4). M = OD %3D

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Q: The perpendicular distance from (5,3) to the line y+4x= 6

A: Line = y+4x-6 = 0 and point ( 5,3)We Know that the perpendicular distance d= ax + by +ca2+b2Where a…

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

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