describe the given set with a single equation orwith a pair of equations. The plane perpendicular to the z-axis at (0, 0, -2)

Q: describe the given set with a single equation orwith a pair of equations. The circle in which the…

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Q: Find a such that the points A(1, 5), B(4, 7), and C(a, a) are collinear. a =

A: Solved below

Q: 34. Let A = (-1,3,0), B = (3, 2, 4), and C = (1, –1, 5). (a) Find an equation for the plane that…

A: Given points A= (-1,3,0) B= (3,2,4) C= (1,-1,5) As per our guideline we supposed to answer only…

Q: Given point A (6,5,8) and plane p with the equation 3x + 2y + 5z = - 24.

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

A: We have to find the geometric description of the set of points in space whose coordinates satisfy…

Q: Find a such that the points A(1, 3), B(4, 5), and C(a, a) are collinear.

A: Explanation: Given that,  Three points  A(1,3)B(4,5)C(a,a) We know that,  If three points are…

Q: Type the coordinates of the images P', Q', and R' for each of the following points under the…

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Q: Find a plane containing the point (5,5,4) and the line r (t) +t Question Help: Message instructor

A: To find plane containing the points (5,5,4) and the line.

Q: Refer to the accompanying figure and find the points that belong the set (AU C)C B V. A Wa C .3B

A: Given: The given set is  U={r,s,t,u,v,w,x,y,z}

Q: ExO Let A (2,-1); 8 (-,0) are e any two points in)plane Find AB, BA 2

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Q: An example of 2 non-collinear points. M.

A: We give the example of two non colinear point.

Q: Quadrilateral EFGH has the vertices E(0, 0), F(a, 0), G(a + b, c), and H(2b, 2c). Verify that EFGH…

A: Given, EFGH is a quadrilateral which has vertices E(0,0), F(a,0), G(a+b,c) and H(2b,2c)

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

A: Consider the given equation is, y=x2z=0 From the given equations, the geometric description is that…

Q: A Draw and describe the locus of points in the plane that are equidistant from the sides of ZABC. C

A: Definition: The locus of points in a plane and equidistant from the sides of an angle is the angle…

Q: c. Directions: Give at least five statements or description for each figure concerning points, lines…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

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

A: We have to find the equation

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

A: The given equations are x2+y-12+z2=4    and   y=0. Substitute y=0 in x2+y-12+z2=4 and simplify as…

Q: raph the points (2, 10) and (4, 6) on the coordinate plane. ick to graph a point. Click the point…

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Q: Findan he surfore atthe to an equation of the homaent plane siven hoind, 62 92 (-7-70

A: Consider the given equation Fx,y,z=x2+y2-6z2-92=0 and the points x0,y0,z0=-7,-7,1. That implies,…

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: Find an equation of the plane P in the figure given below.

A: The equation of a plane passing through three points x1, x2, x3, y1, y2, y3 and z1, z2, z3 is given…

Q: 5. In each case, sketch the set of points determined by the given condition: (a) |z -1+ i| = 1; (b)…

A: Think of it this way |Z +a + bi| = 1 is the unit circle                                |Z +a + bi|…

Q: a. 4 2. Center is at the origin and contains the point a (0, 4) b. (3, 5) etively are

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Q: C. Directions: Give at least five statements or description for each figure concerning points, lines…

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Q: A coordinate system represented a point in the plane by an ordered pair of numbers called…

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

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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: Find the symmetric difference AAB:= (A-B) U (B- A) for the following %3D pair of sets A and B: A=…

A: Given that: A={1, 4, 5} B={1, 2, 3, 4} For the symmetric difference: A∆B=A-B∪B-A

Q: H.W 7- Determine whether the four points P:(1, 1, 2), P:(4, 0, 3), P:(1, 5, 10), and P:(7, 2, 4) lie…

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Q: Graph each figure and its image under the translation with the given rule. Give the coordinates of…

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

A: Given: The pair of equations: x2+y2=4, z=y We have to give a geometric description of the set of…

Q: a) A', the coordinates of the image of A across y = x are Type an ordered pair.)

A: Given that: The given point is: A(6, 7)

Q: - S/ The Perpendicular Bisector Theorem states that if a point is on the perpendicular bisector of a…

A: It is known that, two lines are perpendicular if its meets at right angle. That is, the angle…

Q: Find an eguahion af the Following three points 1,-22-3)2(-5;165)g(5 33,5) Plane passing twough

A: Given data: The first point given is (1,-2,-3). The second point given is (-5,1,-5). The third point…

Q: Find the locus of the points z that satisfies 2(z2 + z?) + (3 – 36i)z + (3 + 36i)z – 5|2|? = 144.…

A: A locus is the set of all points (usually forming a curve or surface) satisfying some condition

Q: Type the coordinates of the points P, Q, and R for each of the following images under the…

A: We are given the images A(x, y)  translates to  A'(x - 9, y + 3) reverting this, we get A'(x, y)…

Q: Use the diagram at the right. How many planes contain each line and point? 26. KL and G 0 A N M G H

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Q: Find the image of the given point under the given translation. P(-8, 9) T(x, y) = (x- 10, y-5) P' =…

A: The given point P (x,y) =(-8,9) Therefore, x=-8 and y=9. Given transformation is T(x,y)=(x-10,y-5).…

Q: A, B, and C are collinear points C is the midpoint of AB AC = 5x - 6 %D CB = 2x %3D Find AB

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Q: Let A(0,-2), B(0,4) (1) Find the set of all points P(x, y) such that m(PA)=2 m(PB) (2) Convert the…

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Q: Q Give a pictorial view for the points to show its position in space A2,4) B4,0) C3,4)

A: Space: It is a three-dimensional coordinate system but the coordinate plane is a two-dimensional…

Q: 8. On parallelogram ABCD below, if A(1, 1), B(8, 5), C(5, -5) and D(-2, -9), what are the…

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

Q: Let ​A(66​,33​), ​B(99​,44​), and ​C(55​,66​) be three points in a coordinate plane. Find the…

A: Let D=(x,y). a) IF AB is a diagonal, then CD is another diagonal. We know that diagonals of a…

Q: Find the equation of the plane through P, Q and R. All answers are integers. Do not use decimal…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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: Three points A, B, and C in three-dimensional Euclidean space have their respective coordinates…

A: The given points are   A(-6,2,-4), B(-1,1,-2), and C(-2,2,1)

Q: Use the diagram at the right. How many planes contain each line and point? 28. and G 0 K N M H

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Q: (iii) State the dimension of W, and whether it is a line or a plane in R3

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Q: Which point is the center of the O point W O point X O point Y O point Z

A: Point W, point Y and point Z are on the circle. Point X is in the circle.

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.