If a line segment has endpoints A(2x + 7,4y) and B(4x + 3,- 2y), what are the coordinates of the midpoint of AB? (1) (2) (3) (4) (6x + 10, 2y) (3x + 5, y) (-x+ 5,3y) (-x + 2,3y)

Q: write down the equation of the pair of straight lines joining the origin to the points of…

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Q: 2. Find the equation of the line passing through the point (-2,5) and perpendicular to the line y-…

A: Slopes of perpendicular lines are opposite and reciprocals . So the slope of the perpendicular line…

Q: Find the distance from the point (3,-1, 4) to the line z -2+3t, y = -2t, z = 1+ 4t.

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Q: The distance between the line x - y + 3 = 0 and the line y = x + 2 is

A: The given two lines are x-y+3=0  and y=x+2. The equation of second line can be written as x-y+2=0.…

Q: What equation is perpendicular to the line y = -2x + 3 through the point (0,2)?

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Q: 11. Determine whether the lines are parallel, perpendicular, or neither. Show your work. 4 Line 1:…

A: Since the product of slopes is -1 hence these lines are perpendicular.

Q: 2. Find the distance between the point (3,-1,1) and the line going through the points (1,2,3) and…

A: In this question we will use basic of geometry i.e concept of line in 3d. We will simply find the…

Q: Represent two planes that intersect at a line represented by 3. y- 7 = z+2 2.

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

A: We are supposed to find the distance between the line x =-2+2t ,y=2t+1, z=2-t and the line x=3-2t…

Q: What is the image of the point (2,-3) after the transformationr y-axis 1) (2,3) 2) (-2,-3) 3) (-2,3)…

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Q: Find a set of parametric equations of the line with the given characteristics.

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Q: Find the equation of the line through point (2, 1/2, -3) and is perpendicular to the plane -x+4y+3z…

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Q: 2. Passes through (3, 5) and (-1, 5) 3 4. Perpendicular to the line y=--x-7 2 and passes through…

A: Given points (3,5) and (-1,5) Therefore slope m = (y2-y1)/(x2-x1) m = (5-5)/(-1-3) = 0 Therefore…

Q: What is the x-coordinate of the x-intercept of the line 2 = 1 when it is graphed in 3 5 with…

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Q: Find an equation of the line through (-2, 5, 3) that is perpendicular to both u = (1, 1, 2) and the…

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

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Q: 4. The line passes through the point (-6, 0, 8) and is parallel to the line x 5-2t, y=-4+2t, z 0.

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Q: Find the coordinates of the point 7. of the way from A to B. 10 本y 10 8- B(t0,7) 6- 2- -> -6-4-2 -2…

A: Given P is a point 710 of the way from A to B .This implies that point P divides the line AB in…

Q: What is the distance between the line with Cartesian equation x-2 = y-8 = z-3 and the line with…

A: If first equation of the line parallel to the vector V1 through the point P1 and the second equation…

Q: Find the equation of the line in standard form (i.e., y = mx + b) that conatins the point (-3,5) and…

A: We have to find the equation of line in standard form if it is passing through the point -3, 5 and…

Q: Line A, y = 2/3x + 4, is parallel to line B which contains point (-6, 2). What is the equation of…

A: Line A, y=23x+4, is parallel to line B which contains point -6,2  First find slope of given line A…

Q: In the coordinate plane, line p has slope 8 and y-intercept (0, 5). Line r is the result of dilating…

A: According to question given Coordinate plane line p has slope=8y intercept=(0,5)Line r is result of…

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: What is the equation of the line that is parallel to line y= 4x+6 and crosses point (-2, -3)? Oy =…

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Q: XIV. Give equation of straight line through point (1,3,-2) perpendicular to z = Зх-2y +4.

A: Given z=3x−2y+4 and point is x0,y0,z0=1,3,−2 We have to find the equation of straight line through…

Q: | xyz2 ds, C is the line segment from (-1, 5, 0) to (1, 6, 5)

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

A: Given that: The given equation of the line is y=-13x+5 and the given point is -3, -1 So, we have to…

Q: The plane that passes through the point (5,2,2) and is perpendicular to both x-5z=-24x-5z=-24 and…

A: The direction ratio of the normal vector to the plane x-5z=-24 or x+0y-5z=-24 is (1,0,-5) The…

Q: Find an equation of the line that satisfies the given conditions. Through (-4, 3); perpendicular to…

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Q: 11. Find the equation of a line that is perpendicular to the line y=--x+5,passing through the point…

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Q: Find the equation of line L through the point (5, 7/2, 5) intersecting at right angle the line M…

A: Given that, the line L is passing through the point 5,72,5 intersecting at right angle the line M…

Q: What is the distance between points (-10, 6) and (-2, 2) on a coordinate plane?

A: Given problem is:

Q: :Find the equation of the plane through (-1, 6, 2) and perpendi cular to the jain of (1, 2, 3) and…

A: Given,           The equation of the pane through -1,6,1 and perpendicular to the join            of…

Q: What is an equation of the line that passes through the point (2, –3) and is perpendicular to the…

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Q: What is the distance between the line with Cartesian equation x-5 = y-9 = z-3 and the line with…

A: The given equations of lines are: x-51=y-91=z-31 and x-81=y-131=3z-41

Q: (-2,4) parallel to y=-3/2x+3

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Q: The two points on the lines 2x + 3y +4 = 0, which are at a distance of 2 from the line 3x +4 y – 6 =…

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Q: The two points on the lines 2x + 3y + 4 = 0, which are at a distance of 2 from the line 3x + 4y - 6…

A: A detailed solution is given below

Q: Find the distance from the point (3, 1,0) to the line given by symmetric equations *** =-3, y= 1.

A: Given that: The point is: (3, -1, 0) and equation of line is:         x+42=z-3, y=1

Q: Find the distance from the point (2, 2, 3) to the line passing through (0, 0, 0) and (1, 1, 0)

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Q: Find the equation of the Line passing through the point (2,-4,1) and parallel to the plane 3x+y-2z=5…

A: Given plane , 3x+y-2z=5 -i whose directionof the normal to the plane is3,1,-2and given equation of…

Q: 7 ) Find the equation of line L through the point 5,,5 intersecting at right angle the 2 line M with…

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Q: Which equation represents a line that is perpendicular to the line whose equation is y = 4x + 12?…

A: As per bartleby guideline for more than one question aske only first is to be answered please upload…

Q: 6. Find the distance between the point (-3, 1) and the line 4x + 3y + 4 = 0.

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Q: 5- Find the distance from the point to the line. a. (0,0, 12); x = 4t, y = -2t, z = 2t b. (0, 0, 0);…

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Q: Through the point (2, -4, 0) and parallel to each of the planes 2x + y -z = 0 and x+ 5y + 3z = 0.

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Q: Find the distance between the point (-1, 3, 5) and the line given by x = 3 + t, y = 1- 2t, and z =…

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Q: The equation of line WX is 2x + y = −5. What is the equation of a line perpendicular to line WX in…

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