5. AQRS contains the points: Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the y-axis, what will S' be? a) S'(3, 7) O b) S'(-3, 7) c) S'(-3, -7) d) S'(3, 7)

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: -10- If the required is a point, use (x, y) form.

A: Given that:                           NOTE: As per our answering guidelines, we can only answer 1…

Q: A particle travels along a path from (0, 0) to (3, 4). What is thedisplacement? Can the distance…

A: Given- A particle travels along a path from (0, 0) to (3, 4). To find- The displacement and check if…

Q: The diagram shows the parallelogram-shaped component that attaches a car's rearview mirror to the…

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: 3.4 Compute the angle between -- ). --- 1 y = 2 using a. (x, y) := x'y TBy, 2 В:- 1 b. (x, y) := x 3

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Q: For what values of a are the points (6, 2, 3) and (a, 2, 5) and the line r = (2,−1, −2) + t(3,1, −2)…

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Q: Let / be the line (1,-1, 1) + t(0, 2, 1). Let Q = (1,0, 1). Find the distance from Q to l. perp PQ…

A: We have to find the perpendicular distance between point Q and line l. Point Q is 1, 0, 1 and line l…

Q: What are the new coordinates of point M (-8, 3) after a reflection in the line y =x? O (3,-8) O(8,…

A:

Q: 13. In AMNP, if mZM = 4x - 3, mZN = 9x-6, and m/P = 6x-1, find x and the measure of each angle. %3D…

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Q: 3-) Find the pointls) to point Az(d,0) on x-3~y2 that are closest メ=2 25 +1,5 0.5 + - -ロ5 + 8.5 to…

A: here we have to find the point on the curve x=3-y2 that are closest to point A(1,0) let point is…

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

A: Let C be a piecewise smooth curve defined by, Let P and Q be two continuous functions of x and y…

Q: What is the distance between points P (-3, 5) and S (6, 9) ? O 4 uni O Y Uds O v97m O 13 urits

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Q: Find the point Q along the directed line segment from point R(-3,3) to point S(6,-3) that divides…

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

A: Solution

Q: Let C be the line segment connecting the points P(−2,1,−4) and Q(5,−4,3). Evaluate ∫C(2x+4z)dy…

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Q: Consider point P(4, 2) and line l with equation −3x+4y=6 .

A: Substitute x=4 and y=2 into the given equation. -12+8=-4

Q: 21. Reflect in the y-axis. 5- 4- 2+ х -2 -3+ -4 T'(2, 2), V'(4, 1), W'(5, 4), X'(0, 4) b. T(-2, -2),…

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Q: Separate ỷ into y and y if y is in the direction of u %3D

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Q: Find the point @ along the directed line segment from point R(-2, 4) to point S(18, -6) that divides…

A: The given question can be solved as shown in step2.

Q: Compute ye*z ye z ds where C is the line segment from (0, 6,-1) to (4, 1, 5).

A:

Q: Show that the pair of bisectors of the angles between the straight lines (ax+by)2=c(bx-ay)2, c>0 are…

A: TO  PROVE-  The pair of bisectors of the angles between the straight lines   (ax+ by)2 = c( bx-ay)2,…

Q: 15. Reflect the point (2, -4) over the y- axis. O a) (-4, 2) O b) (-2, 4) O c) (-2, -4) O d) (2, 4)

A: We know that the reflection of a point about the y-axis makes the x-coordinate negative. So, the…

Q: 16) The midpoint of segment ST is (5, -8). If T(0, 4), can you find point S?

A: Given a segment ST which midpoint c-ordinate is (5,-8) and co-ordinate of T is (0,4)

Q: The distance between the points (3, 6) and (x, 5) is 7. What is/are the coordinate(s) ofx?

A: Since you have asked multiple question,as per our guidelines we are supposed to answer only one…

Q: A trapezoid is shown in the coordinate plane. 10 9- 8 7- 6- 5- 4 3- 2- -10 -9 -8 -7 -6 -5 -4 -3 -2…

A: Given is a trapezoid, when we divide it into 2 parts   equally, the left and right side will be…

Q: Which of the following points is closest to (1,0, 1,0, 1, 1) using Hamming distance? O (1,1,1,1,1,0)…

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Q: In(x + y) dA where R is the triangle with vertices (1,0), (1,1), (0, 1).

A: Let - I=∫∫Rln(x+y)dA Where R is triangle with vertices (1,0),(1,1),(0,1) Equation of line joining…

Q: 1. (x² +y² +z?) ds , where Cis straight line from (1,2,3) to (4,1,4).

A:

Q: 7. Reflect parallelogram RSTU with vertices R(-2, 3), S(2, 4), T(2,-3), U(-2,–4) in the line y = -x.…

A: Reflection in Y axis  : (x , y ) → (-x , - y )

Q: What are the coordinates of the point on the directed line segment from (-9, –2) to (9, –6) that…

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Q: 9. What is the resulting image of D' after a reflection about the line y3Dx? ty D Rule: A B

A: Topic - symmetry and geometry

Q: The equations [2, 1, 6] + t[6, 1, 4] and [4, 1, 3] + s[2, 10, 9] Are parallel Intersect at one point…

A: Topic = Lines Given lines are skew lines.

Q: W Y

A:

Q: The distance between the points P(0, 0,4) and Q(7,6, 8) is V102 Select one: True False

A: According to question,Given points,P0, 0, 4 and Q7, 6, 8

Q: What are the coordinates of the point on the directed line segment from (-6,-6) to (9,-1) that…

A:

Q: 9. Reflect the point (3, 2) over the following axes or lines. Reflection Over New Coordinates x -…

A: Definition used -                    Reflection of a point over the x-axis -…

Q: Find the distance between the skew lines i(t) = (3, 0, – 2)t + (7, 9, 0) and p(s) = (4, – 4, – 5)s +…

A: We have to find the distance between skew lines.

Q: Find the distance between the skew lines r(t)=⟨3,−2,−4⟩t+⟨−4,−2,5⟩ and p(s)=⟨5,2,1⟩s+⟨−6,4,7⟩

A: Given r(t)=⟨3,−2,−4⟩t+⟨−4,−2,5⟩ and p(s)=⟨5,2,1⟩s+⟨−6,4,7⟩

Q: 7) through: (-5, 5), perp. to y=x- 4 8) through: (3, 4), perp. to y =-2x- 4 9) through: (4, 4),…

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Q: Consider the points P=(20,n,21) and Q=(10,0,10). n < 0 y ||PQ|| = V230 %3D If it holds that then it…

A: The points P=20, n, 21 and Q=10, 0, 10Where, n&lt;0If PQ→=230Then to find the true statement about…

Q: What are coordinates of AABC with A(-4,3), B(3,1), and C(2,-5) after a reflection over the line y=x?

A: The coordinates of triangle ∆ABC are A-4, 3, B3, 1 and C2, -5To find the reflection over the line…

Q: 8 If the shaded square has center at C and an area of A, find C and A. 'y-axis C• (-4, 0) (0, 0)…

A:

Q: What are the coordinates of the point on the directed line segment from (-1, –2) to (9, –10) that…

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

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Q: Show the lines (x, y, z) = (5 + 2t, 3 + 2t, 1 – t) and (x, y, z) = (13 – 3r, 13 + 2r, 4 + 4r) are…

A: Given:- Show the lines (x, y, z) = (5 + 2t, 3+2t, 1- t) and (x, y, z)= (13-3r, 13 + 2r, 4 + 4r) are…

Q: If M (-1,2) is the midpoint of AB and B has the coordinate of (3,-5), coordinates of A is O (-4,1) O…

A: Given :M (-1,2) is the midpoint of AB and B(3,-5)

Q: 13. Determine the distance between the following lines. [x, y, z]= [4,5,9]+s[-3,4,-9] and [x, y, z]=…

A: Above question is solved.

Q: A , B and C have coordinates ( 2 , 9 ) , ( 10 , − 7 ) and ( 6 , p ) respectively. Line A B is…

A: