Q1: If A (x,-5, 6), B (1,-1, 0), C (-4, 1, 3). Find value of (x) that makes the triangle ABC is right at point (B)

Q: What are the coordinates of P(−4, −8) after it has been reflected about the x-axis? (x, y) =

A: The given point is,

Q: Q3: a\ A triangle whose vertices are A = (-1,0), B = (2, 1), and C = (1, -2), find:

A: Solution

Q: What is the distance between points (-6, -9) and (3, 3) on the coordinate plane? 8- 7- 6- 4- 3- 1…

A: Solve using co-ordinate geometry

Q: Determine if the points (-3,5), (-1,2) and (3,-4) No Yes are colinear. Show your work

A: yes .the given points are collinear. see 2nd step.

Q: 3) Point R bisects XY. If XR=4n and YR=6n-9, what is the length of XY?

A:

Q: 4) Isosceles trapezoid ABCD has diagonals AC and BD. If AC= 5x+ 13 and BD= 11x-5, what is the value…

A:

Q: 4. Suppose the point B(2,8) is reflected across the x-axis and then translated according to the rule…

A: I am going to solve the given problem by using some simple geometry.

Q: What figure is formed when the points K(-2, 10), L(8, 8), M(6, 2), and N(-4, 4) are connected…

A:

Q: 2 -3 -2 2 3 Be The midpoint of AB = ([ ? ], [ ]) %3D

A: Midpoint of line segment with end points (x1,y1) and (x2,y2)is  x1+x22,y1+y22From graph endpoints of…

Q: find the value of y such that the points are collinear  (5,5) (-1,y) (2,4)

A: if three points are collinear then it means they cannot form a triangle so the area of triangle in…

Q: 4.(a, b), (c, 0) 5.(2a+c, 2d), (2b-c, 2c)

A:

Q: 3. What is the coordinate for the point A? TEKS 6.11A, RC3, RS) -76-5432-113 3 4 5 6 7 $ 9

A: Given query Need to find the coordinates of point A

Q: Q5. Check whether the given points A (1, 2, 3), B (3, -1, 4) and C (-2, 3, -4) are collinear.

A: If there points A,B,C are co linear then we can have  |AB|+|AC|=|BC| . (A,B,C may have interchanged…

Q: find the Plene thVou gh the Points: -AC2,4,6), B(,,7) and c (-1,6,8)? ノ

A:

Q: Find the point P on AB that is one-third of the distance from A(-1, 2) to B(8, 5). y 10 8. P -10-8…

A: Given points A(-1, 2) and B(8, 5). To find point P which divides the line segment in the ratio 1:3.…

Q: Q3. Find the distance between the points AB and BC where A is (2,1,0), B is (-1,3,1) and C is (-1,…

A: The points A2,1,0, B-1,3,1 and C-1,0,1 we have to find the distance between the points AB and BC…

Q: What is the value of a if the point (a, – 1) is on the line 3x – 2y = 8? a =

A: We have to find the value of a.

Q: Apoint P(x,2) is equidistant from the points (-2,9) and (4,-7). What is thevalue of x?

A:

Q: What are the coordinates of point P, the image of point (3, –4) after Rywx? А. (3.4) B. (-3,4) С.…

A: The point given is (3, -4)

Q: If A is (- 8, 3) and B is (- 4, – 1), then the midpoint of AB is (_?, ?_).

A: We know that, mid point of a line segment joining the points x1,y1 and x2,y2 is given as Mid…

Q: z = 3 - t , z = 6 – 4t parallel.

A:

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

A:

Q: 2. Find the distance between the pairs of points using the distance formula. b. (4,8), (8,0) c.…

A:

Q: Find the rectangular coordinates of the point P-). x-coordinate of P y coordinate of P(- )- 3

A:

Q: Use an algebraic proof to show that the points A(-3, 1), B(0, 4), C(0, 2), and D(-3, -1) form a…

A:

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: 2. In the standard (x, y) coordinate plane, a line segment with the endpoints (-1,3) and (4, 3) is…

A: Given: line segment with (-1,3) (4,3) is one side of the square . find the Area of the square

Q: How would i determine whether the three points are collinear?   (0,-7), (-3,-21), (2,3)

A:

Q: nd the distance between the points (-3,0) and (0,1). ne distance is

A:

Q: What is the distance between the points M(-3,1) and N(7,-3)?

A:

Q: find the distance between points P1 and P2. P1(5, 3, -2), P2(0, 0, 0)

A: Given points are 5,3,-2 and 0,0,0.

Q: Find the area of a triangle formed by the lines 2x + 3y = 24, I- 2y = -9 and the y-axis. O 21/2 sq.…

A:

Q: Sketch the reflection of the triangle over the x-axis T 5- -10 -5 10 -5- LO

A:

Q: Find the distance between points P1(0, 0, 0) and P2(-6,-2,5).

A: Distance = x2-x1+Y2-Y1+z2-z1

Q: d the condition for the point (a,0),(h,k),(0,b) when ab is not equal to 0 to be collinear

A:

Q: what it the ends of the latus rectum and axis of symmetry of y2-4y-2x-4=0? show solution

A: The given curve is: y2-4y-2x-4=0

Q: distance between (0, 0) and (½a, ½a√3)

A:

Q: A -3 -2 -1- -2- The midpoint of AB = ([ ? ], [ ]) %3D 3. 2. 2)

A: Here,A=(-2,1)B=(1,-1)We know that, mid point of AB isM=x1+x22,y1+y22M=-2+12,1-12M=-12,02M=-12,0

Q: What is the image of the triangle shown after a translation with the rule (x, y)→ (x- 3, y+3 4 8 x…

A: Given translation is x,y→x-3,y+3.

Q: Test for symmetry with respect to the x-axis and the y-axis.2x + y = 4

A: Test for symmetry with respect to the x-axis and the y-axis. 2x + y = 4. To test for symmetry with…

Q: What is the length between these two points?   (-1,6) and (7,2)

A: Given, points are

Q: 9. Using analytic geometry, find the coordinates of the point on the x axis which is equidistant…

A:

Q: how that the lines x- 7y – 22 =0, 3x+4y +9 = 0 and 7x + y – 54 = 0 form a right angled osceles…

A:

Q: Square QRST has two vertices at Q(-9, 5) and R(-7, 7). Which could be the coordinate of the vertex…

A:

Q: 2. Trapezoid STUV with vertices S(-7, -1). T(-2, -3). U(-2,-5), and V(-7,-7): 90° counterclockwise…

A: The rotation about 90° clockwise will change (h,k) to (k,-h). Therefore,

Q: nd the distance between the points (-3,0) and (2,5)

A:

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…

Q: Find y so the distance between (7, y ) and (3, -1) is 5.

A: We have to find y so the distance (7,y) and (3,-1) is 5.

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.