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 shortest distance r1 between the two lines given by r₁ (t) = (3 + t, 3t, 5 – 4t) and r₂ (t)…

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Q: Line segment t and line segment r are parallel. Both line segments are reflected across the y-axis…

A: We have to find the distance between line segments t' and r'

Q: Use the distance formula to find the distance from (2, 5) to (-3, 10).

A: To find the distance between two points (2,5) and -3,10. Solution: Using distance formula, distance…

Q: For the line segment with endpoints A(x,9) and B (-5,y), the midpoint is M(1,-1). What is x and y?

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Q: aluate √y² ds where C is the line segment from (2,1,-4) to (4, 1, 5). C

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Q: Compute the distance from the point (3, 0, -1) to the line containing the points (1,0,−4) and (1,…

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Q: Find the distance between A(2, -3) and the line L:3x - 4y + 2 = 0. Show your complete solution and…

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Q: Q6) Find the distance from the point S= (1, 2, 1) to the line x = 2 -t, y=-1 + 2t, and z= 2 + 2t.

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Q: If the distance between the points is (x,7) and (1,15) is 10 .find the value of x

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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: 7. Find the distance from the point A to the line through the points B and C where A, B, and C have…

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

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Q: Find the distance from point A = (4, 7, 9) to the following line:

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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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Q: Find the distance between the points (3, 8) and (-1, 11) and the slope of the line containing them.

A: We need to find the distance between (3, 8) and (-1, 11). Compute the distance between x1, y1, x2,…

Q: 2. (a) Find the distance between (-5, 7) and (2, -3). (b) Find the midpoint of the segment whose…

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Q: Consider a line passing through the points A(28, -4.2) and B(4, 5.4). Type the y-value for the point…

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