Plot the given points on the Cartesian plane and also find and plot the midpoint. A(H,–T),B(T, U)

Q: C(3,-5) and D(7,9)

A: Topic:- coordinate geometry

Q: Do the points A, B, and C appear to be collinear? B A. Exercises 4-6

A:

Q: Find the points where the liner(t) = 4 − 3t, 8 + 7t, 5 + t, −∞ < t < ∞,intersects each of the…

A: The point where the line intersects co-ordinate planes, one of the co-ordinates must be zero.

Q: a) parallelogram, then find its area: P2(1, 0, 1), P3 (0, 1, 1), p.(1.1.1) Show that the four points…

A: Solution:-

Q: give a geometric description of the set of points inspace whose coordinates satisfy the given pairs…

A:

Q: Find the distance from the point to the given plane. (-7, 9, 2), x – 2y – 4z = 8 Need Help? Read It

A:

Q: In the diagram below P(x;/3) is a point on the Cartesian plane such that OP-2 Q(a ; b) is a point…

A:

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: B. 3. A

A: Explanation of the solution is given below...

Q: the Salid Find the voloume of ounded by the and grine CoOr dinate Planes a C

A:

Q: Find the standard equation of the sphere. (Let  r = 9 and C = (3, 8, 9).)

A: equation of sphere where center ( a, b ,c ) radius r

Q: Prove that the figure with the coordinates given is a trapezoid. Is it an Isosceles Trapezoid too?…

A:

Q: The endpoints of CD are C(3,-5) and D(7, 9). The coordinates of the midpoint M ofCD are

A: Given :     The end points of CD  are     C (3 ,-5) and D (7 , 9)

Q: The distance, d, between the points (X1, y1) and (x2, y2) in the rectangular coordinate system is d…

A: To find: The distance, d, between the two points (x1, y1) and (x2, y2) in the rectangular cordinate…

Q: Find the point on the plane x-y+z=7 that is closest to the point (2,4,6).

A:

Q: A power cable is to be fitted under a road and can be represented on 3D Cartesian axes as below,…

A: a) The points are A(0,−40, 0) and B (40, 0,⎯20)A0,-40, 0 and B (40, 0,-20) Obtain the distance AB:…

Q: Which is the fourth point on plane TSW? T. U O Y

A: A plane is a 2-dimensional surface. It can have an infinite number of points. A plane is composed of…

Q: In space, determine the locus of points equidistant from the endpoints of . Select one: a. the…

A: A perpendicular bisector to  a line AB divides the line into two halves and is perpendicular to the…

Q: The vertices of ZBG are Z(7,9), B(4,5), and G(11,6) a. Find the coordinates of the midpoints P,Q,…

A: Given: Z=(7,9), B=(4,5)    and    G=(11,6)

Q: Find the Cartesian coordinates of the given point. O 1) (0, 1) 2) (1, 0) 3) (0, -1) 4) (-1, 0)

A: We need to find cartesian coordinates.

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

A: We have to find the equation

Q: A power cable is to be fitted under a road and can be represented on 3D Cartesian axes as below,…

A: a. The points are A0,-40, 0 and B (40, 0,-20) Obtain the distance AB:…

Q: Find the coordinates of the midpoint P and Q  P(h, k), Q(h, 0)

A: GivenPh,k,   Q h,0MidpointM=x1+x22 , y1+y22

Q: Find a plane containing the point (-3,3,-3) and the line F(t) = +t

A:

Q: . Find the coordinates of if M is the midpoint of and M(2,-1).

A:

Q: Find the standard equation of the sphere. (Let r = 5 and C = (9, 7, 5).)

A: Standard equation of a sphere with radius r and centre at c=(h,k,l) is  (x-h)2+(y-k)2+(z-l)2=r2

Q: If a sphere passes through the points A(0, 1, 2) and B(−1, 2, 2) and its center C lies on the…

A:

Q: P has coordinates (2,4). Q has coordinates (–10,12). Find the midpoint of PQ.

A: We know that coordinates of the mid-point of two points P(x1,y1) and Q(x2,y2) are given by Mid-point…

Q: a) Plot the given points on the Cartesian plane and also find and plot the midpoint. A(H,-T), B (Τ,…

A: H=0,  T=7  &  U=0 a). AH, -T=A0, -7BT, U=B7, 0 Now the mid point is, 0+72, -7+02=3.5, -3.5…

Q: a. A trapezoid has been transformed on the coordinate plane as shown. Trapezoíd A Trapezoid B

A: Given that:

Q: 3) FIND THE COORDINATES OF THE MIDPOINT OF AB WITH ENDPOINTS A(-8,2) AND B C0,4).

A:

Q: find the distance d between the points P1 and P2, P1 = (a, a); P2 = (0, 0)

A: Since, we know that the distance between two points A and B havingcoordinates (x1,y1) and (x2,y2) is…

Q: determine the points that are symmetric with respect to (a) the x axis, (b) the y axis, and (c) the…

A: (a) Consider the point (-3, 1). Recall that to find the point that is symmetric about the x-axis, we…

Q: Draw an image of quadrilateral ABCD on the coordinate plane reflected over the y-axis

A: when Quralatral reflected over y-axis then y coordinate does not change only x coordinate change

Q: Write an equation for the plane that contains the x-axis and the point (0, 8, 24). O 3 = x² + y? +…

A: Please refer the attached image for complete solution.

Q: 4. In the figure above, what are the coordinates of the midpoint of AB? (A) (1, 2) (D) (2, 1) (B)…

A: Given: To find: What are the coordinates of the midpoint of AB

Q: 1. Which of the following points in the standard (x, y) coordinate plane is farthest from the…

A: Which of the following  points in the standard (x, y) coordinate plane is furthest from the origin

Q: a Find the distance from the point pC,,1) to the plane 2K -3y+77=1

A:

Q: In ARST, SV bisects y ZRST. Find the coordinates of point T in terms of a. S (a, a) 2a T?, ?) V (2,…

A: Given that, Let ∠TSV=θ and ∠VSR=θ(∵SV is angle bisector)

Q: Find the distance between the point P(1, -2, -3) and the plane x + 2y + 2z - 15 = 0. Answer:

A:

Q: ind the distance from the point to the plane ( 2,–3,4) x + 2 y – 2 z = 13

A: To find : Distance from the point (2,-3,4) to the plane x+2y-2z=13   formula for distance from point…

Q: In Exercises 7 and 8, the endpoints of JK are given. Find the coordinates of the midpoint M. J(-3,…

A:

Q: give a geometric description of the set of points inspace whose coordinates satisfy the given pairs…

A: y=0, z=0

Q: Approximate the coordinates of the points. B. 131 3. A(x, y, z) = (| В(x, у, 2) %3D (

A: To approximate the coordinates of the points A and B

Q: Department of water Resources Eng. A.L. Fatima Kumait Al-Zubaidy Q1): Find the point (x, y, z) that…

A:

Q: Let u = 2 and v = | 0 , and let P = span{u, v}. Find an equation for the plane P.

A: Given: Let xyz be a point in Span {u, v} so there are t, r∈ℝ such that xyz=tu+rv. So,…

Q: Write an equation for the plane that contains the x-axis and the point (0, 6, 12). O x = 2y O z = 6x…

A:

Q: Using the data from the table of values, plot the points on the cartesian plane and connect the…

A:

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.