7. Given that M4,6) is the mid-point of the line segment joining C(2, -3) and D, find the coordinates of D.

Q: Compute ye*ds where Cis the line segment from (1,2) to (4,7). .A 16 34 e4

A: According to the given information, it is required to calculate the value of integral.

Q: Show that the product of the perpendicular distances from the origin to the pair of lel la-b) + 4h?…

A:

Q: Compute ye" ds where C is the line segment from (1, 2) to (4, 7).

A: We have to compute ∫Cyexds where C is the line segment from 1,2 to 4,7. We have, x-14-1=y-27-2=t

Q: 2. Evaluate S. 3x – 6y ds for C is the line segment from (6,0) to (6,6).

A: Solution

Q: If C is the line segment connecting the point (a1, b1) to the point (a2, b2), show that 3r dy – 3y…

A:

Q: 2. Find the equation of the line that is perpendicular to 6x – 4y = 8, which passes through the…

A: Use equation of perpendicular line

Q: 11a) Are the two lines parallel? Show work 4 (3, 2) -30] 2. (5,-1) 【け1.-B12 2

A: Given: Co-ordinates of line l1=(-3,0) and (3,2) Co-ordinates of line l2=(-1,-3) and (5,-1)

Q: Compute yds ds where C is the line segment from (1, 2) to (4, 7).

A:

Q: 2. What is another name for line m?

A: Here we have write another name for line m by looking at the given diagram.

Q: 3. Show that the lines L1 : x = 2+t, y= 2+3t, z = 3+t and L2:1 = 2+t, y= 3+ 4t, z = 4 + 2t…

A: L1: x =2+t , y= 2+3t , z= 3+t  L2: x =2+t , y= 3+4t , z= 3+t

Q: 14) Write the equation of the perpendicular bisector of segment QR if Q(3, -2) and R(7, 6)

A: Find the equation

Q: What value of x would prove that lines /and m are parallel?

A: Given that lines m and l are parallel.

Q: 2. Draw a line that is perpendicular to segment XY with point A, not on the segment A.

A: Solution

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: If M(8, 1) is the midpoint of the line segment AB, and if A has coordinates (-5, -3), find the…

A: Given, M(8,1) is midpoint of line segment AB and A has coordinates(-5,-3) Coordinates of B=? Let…

Q: Graph the line that satisfies each condition. 24. contains (–3, 4) and is parallel to AB with A(2,…

A: 24. At first we will calculate the line AB↔  Then,…

Q: Suppose L, is the line through the origin in the direction of u and L2 is the line through the point…

A: For first line L1, the line passes via origin, i.e., 000 and the line is parallel to u=110, so, the…

Q: If M is the midpoint of the line segment joining points A and B, and A is the point (-2 , 1) and M…

A:

Q: If the line joining the two points (5,4)(5,4) and (3,−k)(3,−k) is parallel to the line kx−9y+11=0…

A:

Q: Prove that if A is a point on the perpendicular bisector of line segment BC then A is the same…

A:

Q: 3. Show that the lines L :1 = 2+t, y = 2+3t, 2 = 3+t and La :1 = 2+t, y = 3+ 4t, 2 = 4+ 2t…

A:

Q: Do the lines (x, y, z) = (5 + 2t, 3 + 2t, 1 - If not, how do you know? t) and (x, y, z) = (13 – 3r,…

A:

Q: Consider the following pair of points. (9,−9) and (−5,9) Step 2 of 2: Determine the midpoint of…

A: Consider the provided points, 9,-9  and  -5,9 Determine the midpoint of the line segment joining the…

Q: 1. Which of the following lines is parallel to y = 4x 2?

A:

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

A:

Q: Show that -ydx+xdy) = x₁y₂-₂₁ where C is the line segment joining (x,y) and (x₂,₂).

A: We have to prove ∫C-ydx+xdy=x1y2-x2y1 Where C is the line segment joining x1,y1 and x2,y2 Now…

Q: Consider points A, B, C, and D, no three of which are collin- ear. Using two points at a time (such…

A: Given information: A, B, C and D are four points in which no three points are collinear.…

Q: Show that the line joining the points P(0,1,2) and Q(3,4,8) is parallel to the line joining the…

A:

Q: If c>+, how many lines through the point (0, c) are normal lines to the parabola y = 3x2? normal…

A:

Q: Construct a line parallel to a given line through a given external point. * R A

A:

Q: There are 8 points in a plane, and no three points are collinear. These 8 points, taken 2 at a time,…

A: Combination: The possible number of ways to select r items from the total n items is given by:…

Q: D F OF and GI are parallel lines and mZDEH = 116°, %3D Submit

A: DF and GI are parallel line,

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

A:

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: prove that if A is a point on the perpendicular bisector of line segment B-C  then A is the same…

A: Prove that if A is a point on the perpendicular bisector of line segment B-C  then A is the same…

Q: Construct perpendicular lines from point P to line m. 1. VE

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: Given the two points P1 (2,-3,4) and P2(-1,5,-2) on a line, find the line segment joining those…

A:

Q: If a slide, a tetherball, and a swing are all 20 feet apart in a park, where could a water fountain…

A:

Q: Find the point of intersection of the lines r;(t) = (-1, 1) + t(8, 4) and rɔ(s) = (2, 1) + s(8, 6)…

A: Consider the given lines in polar form. To find the intersection points equate the x and y…

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

A:

Q: If c > 5, how many lines through the point (0, c) are normal 29 lines to the parabola y = x²? What…

A:

Q: Compute yds where C is the line segment from (1, 2) to (4, 7).

A: We know that,       . Now,

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: 3. Solve the given line ar cystem by back cub ctitution. 2x2 143 = 2 「メ a. %3D 1人 = -5

A:

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: is this true or false......When lines  m  and  n  intersect at point  P  , it follows that   m ∩ n…

A: This is true: in Euclidean geometry/plane. if two lines m,n intersect at a point P ,then m…

Q: If C is the straight line from (1,1,1) to (2,1,2) find 2xlnzdx + 2y²zdy + y³dz.

A:

Q: Let M(4, –5) be the midpoint of a line segment joining two points A and B. If the coordinates of A…

A:

Q: The midpoint of the line segment connecting the points P, Q has coordinates (—4, —1). If the point P…

A:

Q: Evaluate ydx + yedy + (y + 2)dz where C is the line segment from (1, 1, 3) to (4, 4, 6).

A: We find the integration of given function.