2. Which point is the intersection of x + 2y = 8 and 2x + 3y = 10? a. (-2, 5) %3D b. (-4, 6) с. (2, 3) d. (-1, 4)

Q: Parameterize the intersection of z = - Vx² + 7y² _and x² + y? + z? = 200

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Q: a.) Find the distance between the parallel lines e: 2x-6=-4y-16 =:-3. 1x+2= -2y = .

A: By Bartleby policy I have to solve only first one as these are unrelated and lengthy problems.These…

Q: Find the point P such that v = PQ has the components (-7.75,–14.5, –2.5). Q = (-0.75, -6.5, 5.5) P =

A: Solve for p

Q: Solve for the orthogonal traysctories x*(3k-x) - ky². = x ? 2

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Q: 48. Find the value of x for which line a is parallel to line b. * C 6x + 17 4x + 23 O A. X = 7 O B.…

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Q: Find the value of x that makes lines a and b parallel. a 12x-4 10х + 10 O 10 O 13 O 6 O 7

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Q: Determine B such that the line 3x +2y-7= 0 is perpendicular to 2x By +2 = 0. 05 04 O 3 02

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Q: For the line that has the equation X1 + 2X2 = 10, will pass through: %3D O (5,4) (10,1) O (2,4) O…

A: Given that  The equation of a line is x1+2x2=10 To find a point that will pass through the given…

Q: 21 Calculate the coordinates of the point of intersection I of the two lines : 1° (D) : x + 3 = 0 2°…

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Q: 3) Find the point, M, that is five-sixths of the distance from A(-7, 2) to B(-1, -4). A) (-1, -3) B)…

A: solution.

Q: Which of the following is the point of intersection between the lines  3x + y = 10 and x + y = 4

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Q: Q1: if AB = i + 4j – 2k and B is the point (5,1,3), find point A.

A: Note: -Since you have asked multiple questions, we will solve the first question for you. If you…

Q: Find the intersection point of the two lines: [x, y] = [1, 2] + t[2, -1] and [x, y] = [0, 3] + t[3,…

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Q: Find two values of r such that y =x" is a solution of ху" - бху' - 18у %3D0,х>0. O A. r= -9, 2…

A:

Q: Which of the following is the point of intersection between the lines 3x + y = 10 and x - y = 2 а.…

A: Given:   3x + y = 10    x - y = 2

Q: 45 14 B. 56 C. 68 D. 90 Which line is paraliel to y = x-2? Ay=x+5 By = 6x+5 C. y = -6x + 8 D. y…

A: We have to find the following conditions according to the given information

Q: 3. Find the intersection point of the two lines, L1: r = 4-t, y = 1+ 2t, z = -2+t L2 : x = 3+s, y =…

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Q: The distance from the point (5, 3) to the line 2x +4y + 5 = 0 is O A. 2.457 B. 3.801 C. 4.63 D.…

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Q: Find the point symmetric to about the x-axis. 5 л 117 b) O 5 2т c) O 5 57 d) O2' 6 27 3

A: Here, we need to find the point symmetric to 52,π6 about the x-axis.

Q: Connect the two points (1, d(1)) and (3, d(3)) with a straight line.

A: Given

Q: 7. Which equation is for the line passing through the points (0, 2) and (3, 8) ? * O y = 2x + 2 O y…

A:

Q: 7. How many points of intersection exist between y= x' +4x2- 2x - 5 and y = 3? %3D None B. One Two…

A: To find the number of intersection of the given curves  y = x3 + 4x2 - 2x -5  and y = 3

Q: O which line lo pavallel to HiS line: y=-Zx-7 A. Zメとらyこう B.2x-54こ50 3D4 D. SX

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Q: Suppose A(-9, -8) and B(-4, -6). What is the x coordinate of the midpoint for AB?

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Q: 4. Determine whether the pair lines are equal, parallel but not equal, skew, or intersecting. L1:x =…

A: Given:      L1:  x=1-4s, y=3+s ,z=8-6s      L2: x=2+3t ,y=2t ,z=-1-3t   For Parallel test:…

Q: Solve for x and y if PARM is a parallelogram. P 3x + y A 4x 2+y

A: Note:We are authorized to answer one question at a time, since you have not mentioned which question…

Q: Find the point P such that v = PQ has the components (-7.75, –8.25, – 16). О 3D (-2.75, -2.25, -6) P…

A:

Q: How far is the line 2/1īx – 10 y + 24 = 0 from the origin? O A. 1 O B. 2 O C. 3 O D. 4

A: We have to find the distance from origin

Q: Q1: if AB = i+ 4j – 2k and B is the point (5,1,3), find point A.

A: AB vector is given. AB = i +4j -2k   Creat vector AB by taking variable point A and given point B…

Q: 4. Find the values of x and y as shown below if three lines are parallel. (5y-4) 3y (2x+13)

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Q: Determine B such that the line 3x + 2y - 7 = 0 is perpendicular to 2х - Ву+23D0. | O 5 Оз O 2

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Q: Find the point on the line 6x + y = 8 that is closest to the point (-5, 3). 19 145 (х, у) %3D 37' 37

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Q: Evaluate (x2 + y?) ds where C is the line segment from (0,0) to (5, 5).

A:

Q: 13.) Which line is perpendicular to 3x + 2y = 6? a. 4x - 6y = 3 b. y = -3/2x + 4 c. 2x + 3y = 12…

A: Given: 3x+2y=6 To find the perpendicular line of the given line first, solve for y,…

Q: Find the equation of the set of all points that are equidistant from the points P = (1,0, -2) andQ =…

A: Given: P=1,0,-2 and  Q=5,2,4

Q: ind the points of intersection: y = x-1 x = 3-y^2

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Q: Which of the points A(4,4) or B(5,3) is closer to the point C(-1,-3)?

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Q: Find the value of P, if the straight lines 3x + 7y – 1 O and 7x – py +3 = 0

A: Solution: The objective is to find the value of p

Q: e is perpendicular to the line y = 2x + 3

A: Which line is perpendicular to the line y = 2x + 3

Q: Find a perpendicular line that passes through the given point (6,4); y 3x- 2 %3D O y = 1/3 x-6 O y =…

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Q: Q1: Determine the coordinates of point N (zero, ?, ?) located on the line AB where: A(-4,5,6) B…

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Q: For the rectangle windows whose L(-3,-2) and R(2,3), Find the intersection point for X(-1,1) to…

A: Given rectangle windows has: Lower left hand corner at Upper right hand corner at To find: The…

Q: 20. For what value of b are the graphs of the pair of equations perpendicular? 3x+ 7y = 7, y =

A:

Q: What is the point of intersection, P(x, y) of the following lines: 5x + 2y = 4 and -2x + y = 11. x =…

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Q: Select all of the lines that go through the point (2, 5). Oy = (r- 5) + 2 O y = 2x + 1 %3D

A: We have given point (2, 5) a) OPTION (A) y=x-52+2 If the point (2, 5) lies on the above line then it…

Q: Find an ordered pair (x, y) that is a solution to the equation. x-6y=6 (x, y) = OD %3D

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Q: find the distance between two given points 2. C(11,9) D (5,1)

A: Given points is C(11,9) D (5,1)

Q: 5. Are the lines y 5x + 7 and y = 5x - 2 parallel, perpendicular or neither? * O Parallel O…

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Q: Find the area of a triangle formed by the lines 2a + 3y = 24. x - 2y = -9 and the y-axis. O 63 sq.…

A: Given the equation of the lines2x+3y=24, x-2y=-9 formed a triangle. The formula for the area of the…