find the coordinates of the point that divides the line segment given the coordinates of its endpoints, A(2,4) and (4,8) in the ratio 2:3 using the formula p [ (n x1 +m x2 ) / 2 ] , [ ( ny1 + my2 ) / 2 ]

Q: Find all points having an x-coordinate of 3 whose distance from the point (-2,1)is 13 (a) By using…

A: (a) By using the Pythagorean Theorem (see graph below)   Let (-2,1) denote the coordinates of the…

Q: 3. Consider any five points P1,..., Pn in the interior of a square S of side length 1. Find the…

A: Given: Any five points P1, P2, ..., Pn in the interior of a square S of side length 1. To find: The…

Q: Use the Segment Addition Postulate and the diagram to find the value of x and the indicated length.…

A:

Q: find the coordinate of point x such that the ratio of MX to XJ is 2:3

A: Let Position vector of point M and J be m→ and j→, respectively. Point X divides segment MJ into the…

Q: 2) If you are given two points in space, P1 (X1,yı) and P2 (X2,yz), demonstrate why the distance…

A:

Q: Find all points on the y-axis that are a distance 6 from P(5,3).

A: A point on the y axis is of the form (0,k) , where k= real number. Let (0,k) is 6 units away from…

Q: Use the above formula to find the distance from the point to the given line. (5, 3, -3); x = 1 + t,…

A:

Q: Solve for x if AT is an angle bisector. B. (5x+7 (3x+23) A Segments in AS

A: We have to find x

Q: What is the distance from P(2,4) to 2x-3y+1=0?

A:

Q: Find the coordinates of the missing endpoint given that P is the midpoint of NQ. N12, 0), P15, 2)

A:

Q: The points J, K, L and M all lie on the same line segment, in that order, such that the ratio of JK…

A:

Q: Find the ratio of x to y if: 8x-3y / 12y + 6x = 1/2

A:

Q: The total height of the triangle of the circular cone is 1.50m, find the HS and the r of the…

A: Concept: The similarity of triangles: The triangles of the same shape but need not be of the same…

Q: Find the distance between the following two points: (3, 5) and (4, -4) O 102 O V82 O V92

A:

Q: 2. Find the distance between and

A:

Q: The points P(k, 2k), Q(p, t) and R(12p, 5t) are on a straight line. If Q divides PR in the ratio of…

A:

Q: Find all points on the x-axis that are a distance 5 from P(−2, 4)

A: Given,           All points on the x-axis that are a distance 5 from  P(−2, 4)

Q: find the distance d between the points P1 and P2.

A: We know, By distance formula, distance d between two points (a,b) and (c,k) is given by:…

Q: Find the point that is 2/5 of the distance from C to D.

A:

Q: Find the point, M, that divides segment AB into a ratio of 5:2 if A is at (1, 2) and B is at (8,…

A: Given points are A(1,2) and B(8,16). M be the point that divides the line segment AB in the ratio…

Q: Find all points on the y-axis that are a distance 13 from P(12, 6).

A: To find: All the points on y-axis that are a distance 13 from P12,6. Concept used: The x-coordinates…

Q: Find the value of  x for which the distance between the point P(2, -3) and Q (x, 5) is 10

A:

Q: find the coordinate of point x such that the ratio of fx to xd is 5:3

A: find the coordinate of point x such that the ratio of fx to xd is 5:3

Q: Find the area of the triangle that lies in the first quadrant (with its base on the x-axis) and that…

A: y=2x-4 and y=-4x+20 We need to find the area of the triangle that lies in the first quadrant (with…

Q: 13. If B is the midpoint of AC, and AC= 8x- 20, find BC. 3x - 1 В

A: We will find BC as following.

Q: Find x so that the distance between (-2, 3) and (x, 1) is Ï29.

A:

Q: 5. Find the ratio in which the x axis divided the line segment joining the points (7, -3) and (5,

A: Given : The points, (7, - 3), and (5, 2)

Q: Cannot solve

A: We have given u = (4, 5) and v = (5, -2)

Q: Find the midpoint of the segment GH given: G(7, -5) and H(9, -1).

A: Given data: The first point given is G(x1, y1)=(7, -5). The second point given is H(x2, y2)=(9, -1).…

Q: This water tank has dimensions as shown, in metres. 1. Show that the volume of the tank, V m3, is…

A: Here l = x         b = x         h = x-1 The volume of a cuboid is the product of its length,…

Q: Find the distance between the plances 3x +y-4z = 2 and 3x+ y- 4z = 24

A: Find the distance between the planes   3x+y-4z=2    and    3x+y-4z=24

Q: Find the distance between the two given points. S (-1, 6) and T (-1, 14)

A: We know that distance between two point (x1,y1) and (x2,y2) is  (x2-x1)2+(y2-y1)2 Therefore distance…

Q: to Find the mid Point. M.of the line Segment Joiningthe points. S:(-8,2)) and'f =(0i6)

A: Basic algebra problem

Q: Find all points on the y-axis that are a distance 6 from P(5, 3).

A: P5, 3 is at a distance of 6 units from the y-axis

Q: Find the per pendicualar olistace from the P (5,6) to the line -2xr+3Y+4=0.

A: Formula for perpendicular distance is as below : Given :-2x+3y+4=0Ax+By+C=0A=-2B=3C=4 Point  (m , n…

Q: What is the coordinate for a point M such that ST is partitioned in a 1:2 ratio? -5-4 -3 -2 -1 0i2 3…

A: Given, The given line segment shows two points  S having coordinate -4 T having coordinate 5 We have…

Q: Find the distance between the plances 3x + y- 4z = 2 and 3x + y - 4z = 24

A:

Q: (b) We can drawa square such that the perimeter of the square is made up of sides which are 4…

A: Here, we need to find the perimeter of the given square and also need to approximate the value of π…

Q: Find the distance between the plances 3x + y – 4z = 2 and 3x + y – 4z = 24

A: Given the two planes 3x+y-4z=2,3x+y-4z=24. The distance between two planes Ax+By+Cz=d1,Ax+By+Cz=d2…

Q: on the line ye -2x +8 that 1-) Find the point IS Close't to the onigin.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the distance, to the nearest hundredth, between the given points. P1(9, 3) and P2(11, 1) Find…

A:

Q: Find the distance from P(5,3) to -5æ – 2y + 9 = 0

A: We need to find the distance between the point P(5,3) and the line -5x -2y + 9 =0

Q: Find the coordinates of the midpoint of the segment with the given endpoints. 5)E (0, 4) and F (4,…

A: The mid point of a line segment divides the line into two halves. The coordinates of a midpoint is…

Q: Find the distance between the following two points: (0, -5) and (5, 1)

A:

Q: State the formula for the distance between (x1, y1) and (x2, y2).

A: Determine the formula for the distance between x1, y1 & x2, y2

Q: d. (1,1/2), (1/2,-2) e. (2, -4), (0,7) f. (-2.5, -3.5), (6.5, -5.5)

A: We can find the distance using the distance formula as below.

Q: Find the value of k such that the perpendicular distance of the point (2,k) from the line x - 2y =…

A:

Q: Verify that DE and WX are parallel. The length of segment FW =3.5, WD 4.5, FX = 4.9, and XE =6.3.…

A: Given, FW=3.5, WD=4.5, FX=4.9, and XE=6.3

Q: Determine the coordinates of the point P that divides the segment formed by A (1,6) and B (7, -2) in…

A: The detailed solution is as follows below:

Q: Find the length of segment LM for the given parallelogram below. x+13 2x +4

A: Given that       LMNK be a parallelogram. LM = 2x+4  and NK= x+13 Here we have to find the length of…

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.