7. In the standard (x, y) coordinate plane, the point (2,7) is the midpoint of the line segment with endpoints (-3, 11) and:

Q: Find (x, y, z) if the midpoint of the line segment joining the two points (x, y, z) and (-6, -5, -4)…

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Q: What is the midpoint line segment AB defined by the points A: (2, -3) and B: (-1, 0). O a3 O (0,-2)…

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Q: 2) What is the length of the line segment that has endpoints at (-5,3) and (4,5)?

A: The end points of the line segment are : x1,y1 = -5,3 x2,y2 = 4,5 To evaluate : The length of the…

Q: calculate the distance between point(5,2) and the line, 2x+5y=10

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Q: What are lines are perpendicular to the line 3x+2y=6

A: Line perpendicular to ax + by + c = 0 can be written as bx - ay + k = 0 , k= constant.   So line…

Q: Determine the point of intersection of the lines. 4:[x, y, z]=[-3, 1, 4]+s[-1, 1, 4] (2:[x, y, z] =…

A: Let (a,b,c) denote the point of intersection So, For l1a=-3-s0b=1+s0c = 4+4s0For l2,a =…

Q: which statement is true about a line that is parallel to the y axis and passes through the point…

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Q: What is the distance between points A=(2,5)A=(2,5) and C=(−3,2.5)C=(-3,2.5)?

A: Given:A= (2,5) and C= (-3,2.5)

Q: 3) What is the distance between points (0, -1) and (10, -5)?

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Q: 4. What is the equation of a line parallel to the diameter of circle A, with a center at (-5,7) and…

A: Given query is to find the line which parallel to the given line.

Q: Is there a value for k that would make the line between the points (k,2) and (3,8) vertical? If so,…

A: Given points K,2 and 3,8If the given line is vertical then the line is parallel to the y-axis…

Q: Find the equation of the line through point (3,7,-11) y is perpendicular to the xz-plane

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Q: Find the distance from the point (- 2, – 8, – 6) to the line a(t) (5, 3, 2)t + (– 6, 6, – 5). |

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Q: 4:x=1+21, y =-2+t, z=4-t 1, :x = 5–3s, y= 4- z = 2+

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Q: Find the distance of the point (2, 2, –5) from the line r(t) = (1+4t, –1+ 4t,7 – 3t) %3D swer:

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Q: What is the midpoint line segment defined by the points A: (2, -3) and B: (-1,0). O (0-2) 0 ³

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Q: 3. What is the other endpoint of a line segment with one endpoint of (7,13) T and a midpoint of (1,…

A: The midpoint of a line segment is the middle-point of the line segment. This point is equidistant…

Q: Find distance from the point (0, 1, 3) to the line = 2t, y = 6–2t, z = 3+t

A: (0,1,3)    L=x=2t, y=6-2t, z=3+t

Q: The distance of the line 7x + y –5 = 0 from the origin is?

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Q: Sketch the second order spline that fits the end points PO (0,0), P2(9,4) and tangents intersection…

A: Here we need to sketch the second order spline that fits the end points P0 0,0, P2 9,4 and tangents…

Q: Find the distance from the point (3, 5, 1) to the line æ = = 0, y = 5 + 2t, z = 1+ 3t.

A: Given line x=0, y=5+2t, z=1+3t Therefore line passing through the point (0,5,1) and direction ratio…

Q: Two straight lines 3x – 2 y + 5 = 0 and 6x – 4y + 10 = 0 intersect at the origin. are coincident.…

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Q: The distance between point (1,1,5) and the line x=1+t,y=3-t ,z=2t is:

A: Find the distance between point (1,1,5) and the line x=1+t,y=3-t ,z=2t.

Q: 22. Find the distance from the point (5, 2, –1) to the line x – 1 2. || ||

A: A line in three-dimensional geometry can be represented by parametric form, vector form, or…

Q: What is the midpoint of the line segment? Drag the coordinates to the boxes to correctly match the…

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Q: What is the distance between point (2,4,5) to line r = (1,2,5) + t (-1,2, -1)?

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Q: 9. Are the lines parallel, perpendicular or neither. Show work. 4. y3-x+2 3 3x+4y = 4 %3D

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Q: Evaluate ryz ds, where C is the line segment from (3, 0, 1) to (0, 2, 5).

A: Given function is ∫Cxyz ds Given points are r1=3,0,1 and r2=0,2,5 We can write the given points in…

Q: What is the midpoint of line segment XY with coordinates X (-4, 10) and Y (8,6)? (-6, 2) (3, 7) (-7,…

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Q: How to calculate the slpoe of the lines given (0,0) (5,2)?

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Q: 15. If the coordinates of one endpoint of a line segment are (3, -3) and the Coordinates of the…

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Q: calculate the distance between * point(5,2) and the line, 2x+5y=10 2/(20)^0.5 O 10/(29)^0.5…

A: To find The distance between the point (5,2) and the line 2x+5y=10

Q: Find the distance from the point (2, 1, 3) to the line x = 2 + 2t, y = 1 + 6t, z = 3

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Q: If a line segment has endpoints A(2x + 7,4y) and B(4x + 3,- 2y), what are the coordinates of the…

A: A line segment has endpoints A2x+7, 4y and B4x+3, -2y

Q: Find the length of the line segment described by, (x,y,z)=(1,2,1) +t(-1,5,4)), where 0<t<5.

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Q: Suppose the midpoint of line segment AB is M-(-4,2). If point A has coordinates (-6, -4), what are…

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Q: What is the midpoint between the points A: (-3, -4) and B: (6, 1)?

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Q: 4. Find the line(s) containing the point (–1,4) and lying at a distance of 5 from the point (6,3).

A: (Note: We are entitled to solve only one question at a time) To Find: The lines containing the point…

Q: Is the line y = −4x + 4/5 parallel to the line y = 4x + 5 ?

A: We compare y = −4x + 4/5 with y=mx+bSo, m= -4

Q: Find the distance from the Point A (,2,1) to the line joining the too Points BB (o,5,2), C( 3,2,7).

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Q: If the point (4, 1) is the midpoint of the line PD , where P (x, 3),  D (7, y)   ,  find the value…

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Q: Evaluate (x + y) ds, where Cl is the line segment from (-2, 1, –5) to (-1, –1, –2).|

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Q: Let M(-8, 10) be the midpoint of a line segment joining two points P and Q. If the coordinates of P…

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Q: Is the line that contains the points P1(−3, 1) and P2(1, 3) perpendicular to the line that…

A: We can check the line joining the points are perpendicular or not as per the concepts as below.

Q: Suppose that L is a line through the points (a, 2, c) and (3, –4, 2) that is parallel to one of the…

A: Given that: L is a line passing through (a,2,c) and (3, -4, 2) and parallel to one of the axes.

Q: What is perpendicular to the line x/2+y/4=1

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Q: 11b) Are the two lines perpendicular? Show work y (+5,6) 4 (1, 3) (-5, 0) 4 (-1,-2) 6.

A: Given,

Q: 3. What is the equation of a line that passes through A(-1,-1) and is perpendicular to segment BC:…

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Q: 1. Write a parameterization for the straight line segment starting at the point (–3, –2) and ending…

A: Given:  starting point A(-3,-2)                endpoint(4,5) Task: to parametrize the given line…

Q: Show that the product of the perpendicular distances from the origin to the pair of straight lines…

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