1 pts Question 11 Coordinates A(-2,4) and B(-4, 1) lie on a coordinate plane. What is the midpoint of line segment AB? 3, 3 21 -3, (-). -3

Q: The distance d of a point P to the line through points A and B is the length of the component of AP…

A: The given points are,

Q: 19. A perpendicular bisector of a segment is a line, segment, or ray that is perpendicular to a…

A: See the Perpendicular Bisector theorem and its converse

Q: 1. Consider the two points (1, -2) and (5, 1). a) Find the midpoint between the two points. b) Find…

A: The answer is found in step-2

Q: Answer the following questions using the coordinate plane: 1) In what quadrant is the point (5,…

A: To find: (1) In what quadrant is the point (5, -6.453725)? The point (5, -6.453725) lies in the…

Q: 49. The line segment joining A(4, 1) and B(-2,5) is extended to point C through B. Find the…

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Q: 4. The coordinates of the point which divides internally the line joining the points (2,4) and (- 3,…

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Q: Find the parametric representation of the straight line that passes through the points P(3,8) and…

A: A line passing through the point P and parallel to the vector v is described by  parametric…

Q: The distance d of a point P to the line through points A and B is the length of the components of AP…

A:

Q: a) How can you find angle between line and plane? x-a_y-ß _ z-Y b) Find the equation to the plane…

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Q: y 4- 3- 2- 1- -4 -3 2 -10 1 2 3 4 5 6 -2- H. -4- From your work on question 1, what is the MOST…

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Q: 8. When plotted in a standard coordinate plane, the coordinates (1, -1), (-3, -3), (5, -3), and…

A: The given points are 1,-1, -3,-3, 5,-3, and 1,-5.

Q: plane so that A is (0, 0), B is (a, 0), Cis (a, b), and Dis (0, b). What formula can he use to…

A: We can answer the given question as below.

Q: Convex quadrilateral ABCD is given. Lines AB and CD intersect in point T. If AT=3 units, TD = 6…

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Q: B- Vertices of a triangle are, A(-1, 0, 1), B(3, -2, 0) and C(4, 1, -2). Find 1- Area of Triangle 2-…

A: A detailed solution is given below.

Q: Point c(4, 2) divides the line segment joining points A(2. -1) and 8 (x.y) such that AC:CB = 3:1.…

A: Point C(4, 2) divides the line segment A(2, -1) and B(x, y) such that AC : CB = 3 : 1 By using the…

Q: Point A is one of the endpoints of segment AB. M is the midpoint of AB. If the coordinates of M are…

A: Let the point C x,y be the mid point of the line joining the points P x1,y1 and Q x2,y2 then we have…

Q: Consider the coordinate plane. Point C is the midpoint of AB. There exists a point D that is located…

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Q: 4) Consider a plane P that contains the points A(2,0, –3), B(1,5, 2), and C(0,7, 1). a. Write the…

A: Since, it is a multiple part question, we will answer the first three parts.

Q: The line through the point ?(1,1,1) parallel to the z – axis

A: We have to find the equation

Q: 3. The figure shows parallelogram ABCD with AE = 16. %3D B C 16 A not drawn to scale LET BE = 2u + 2…

A: Given that: A parallelogram ABCD as shown below with AE = 16 & BE=2u+2 & DE=5u-10…

Q: Q.2) The horizontal line h in space placed in position that the coordinates of its two ends are…

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Q: 7. Luke is going to reflect point R(6, 10) over the y- axis. What are the coordinates for R'?

A: 7) Given:     Point R6,10 over the y-axis. The reflection of point (x, y) across the y-axis is (x,…

Q: 49. The line segment joining A(4, 1) and B(-2,5) is extended to point C through B. Find the…

A: First we will find the distance between AB and  BC and then verify each option as shown below

Q: Points F, G, and H are collinear such that FG: FH ==. If a directed line segment begins at F(-5,-1)…

A: Given,  A directed line segment begins at F-5, -1 and ends at H4, -1.  FGFH= 13  We have to find the…

Q: 4) Consider a plane P that contains the points A(1, 6, 4), B (5, 5, -2), and C(0, -5,-4). a. Write…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: 7. A line connecting coordinates ( x, 7) and ( 10, y) is bisected at ( 8,2). Find the equation of…

A: Given : A line connecting (x,7) and (10,y) is bisected at (8,2).

Q: #: The diagonals of parallelograms BEND intersect at point Q. What are the coordinates of Q? B(-4,…

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Q: Consider the figure shown on the coordinate plane. What are the coordinates of the midpoint of line…

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Q: Siven points A = (10,2) and B = (10, 18), find the equation of the perpendicular bisector of the…

A: Correct option :-   y = 10

Q: The distance d of a point P to the line through points A and B is the length of the component of AP…

A: Solution:-

Q: 7. In the standard (x, y) coordinate plane, the point (2, 7) is the midpoint of the line segment…

A: Given that the point (2, 7) is the midpoint of the line segment with endpoints (-3,  11) and another…

Q: 12. The midpoint of AB is M. IF the coordinates of Mare and the coordinates of Bare (6, 1), what are…

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Q: The distance d of a point P to the line through points A and B is the length of the component of AP…

A: Consider the provided information, Given P=2,-4,A=5,-1 and B=-3,-5. We know that the formula for the…

Q: Point TT is located at (-2,-2)(−2,−2) on the coordinate plane. Point TT is reflected over the…

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Q: 10+ 10-8-6 -2 10 4. -4 9- 10 What is the distance between point A and point B on the coordinate…

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Q: Consider two parallel planes Q and R. Let the lines L = and M = be on planes Q and R respectively.…

A: We will answer the first three subparts of the question as per our guideline. Please resubmit the…

Q: A triangle has coordinates A(2, 0), N(7, -1) and T(5, 4). The triangle is reflected over the x-axis.…

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Q: O True False 1. The point (0, 0) is called the origin, and is the point where the x-axis and y-axis…

A: since you have asked multiple questions in single request so we will be answering only first…

Q: 12. Find the distance between the parallel lines x = -4 -t 4:{y = -3+ 2t, teR and l2: y = -5 – 2s, s…

A: Given,  l1=x=-4-ty=-3+2tz=3-2t, t∈ℝ &l2=x=6+sy=-5-2sz=5+2s, s∈ℝ represented as,  l1=-4, -3,…

Q: Quadrilateral JOSH has points J(2,8) O (5,10) S( 4,4) H ( 7,6): (x,y) -- (x +2, y- 5)ldentify the…

A: Given ,  Quadrilateral JOSH has points J(2 , 8) ; O(5 , 10) ; S(4 , 4) ; H(7 , 6)  (x , y) → (x + 2…

Q: The distance d of a point P to the line through points A and B is the length of the component of AP…

A: Distance from line in 3D

Q: 1. Find the area of the triangle whose vertices are A(-3, -1), B(5,3), C(2, -8). 2. The midpoint of…

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Q: Points A, B and C are collinear, and AB: BC =1:4. A is located at (-5, - 3), B is located at (-2, 0)…

A: Points A, B and C are colinear . According to the situation we have diagram

Q: A variable straight line drawn through the point of intersection of the straight XY=1 and ines + a b…

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Q: (ii) Find the point of intersection of the lines L : r = (1,2) + t(2, – 1), –0o < 1 < +oo and L2 : r…

A: Here we find the intersecting point.

Q: 1. Points A,B,C,D form a parallelogram, where A = (1, –2,3), B = (3, 1,2), and BC is parallel to i =…

A: Given that points A, B, C, D form a parallelogram, where A = (1, -2, 3) , B = (3,1,2) and vector BC…

Q: 37. Point P partifions drected line segment AB in the ratio 23. IH AF-8,-8) and B/2.7), find the…

A: Section formula is used to calculate the coordinate of point which divide the line in certain ratio.…

Q: The midpoint of GH is (1,-4). The coordinates of point G are (3,-5). What are the coordinates of…

A:

Q: a. Reflect triangle ABC over the line x = -6. b. Translate the image by the directed line segment…

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.