#2 Find the coordinates of A and the distance AB, AC and BC a) -2 3 -3 -5 -9- -7 b) A 2.

Q: 5. What is the angle between the planes 4x - 5z 11 and 8x- 10z 13? (a) 0 (c) (b) (d) n

A: Given: 4x-5z=11 8x-10z=13

Q: Describe the triangle ( AXYZ, not shown) as scalene, isosceles, or equi Here is the given…

A: we have to identify which triangle is

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

A:

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: The coordinates of the endpoints of AB are A(-8,-2) and B(16,6). Point P is on AB. What are the…

A: Draw a schematic diagram of given question.

Q: If AB = –7i + 3j + 8k and A is the point (-2, –3, 6), find B. %3D

A: Consider the given vector as AB→=-7i+3j+8k and point A-2,-3,6

Q: Find the coordinates of point X which is: 3 a 5 units from (1, –5) in the direction 4 -3 b 6 units…

A:

Q: The coordinates of point Tare given. The midpoint of ST is (5, -8). Find the coordinates of point S.

A: Given that, coordinate of point T = (-2, 8) Coordinate of midpoint of line ST = (5, -8) we have to…

Q: What are the coordinates of point D? O2,-3

A: Given cartesian plane is :

Q: A,B,C are three points on OX ,OY ,OZ respectively at distance a,b,c (a'0,b'0,c'0)from the origin…

A:

Q: A(1, 1) and B(2, -3) are two points and D is a point on AB produced towards B such that AD3AB. Find…

A: Given problem:- A(1, 1) and B(2.-3) are two points and D is a point on AB produced towards B such…

Q: Points A and B in the Cartesian plane have coordinates (0,0) and (7,4) respectively.How many…

A: Manhattan distance between two points (x1,y1) and (x2,y2) is given by:

Q: 1. Solve for the interior angles (in degree) of H and I of the triangle defined by the three points…

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Q: In the coordinate plane shown, point C (not shown) lies on segment AB. B (10, 10) (2, 4) If the…

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Q: Verify a Right Triangle:(a) find the length of each side of the right triangle, and (b) show that…

A: We know that, the distance d between two points x1,y1 and x2,y2 is given as d=x2-x12+y2-y12…

Q: The midpoint of \overline{\text{AB}}AB is M(0, -4)M(0,−4). If the coordinates of AA are (-8,…

A: Given Data: The midpoint of AB¯ is: Mxm, ym=M0, -4 The coordinates of A is: Axa, ya=A-8, -7 Let The…

Q: 7) A tall building casts a 12-m shadow at the same time a 7-m light pole casts a 3-m sahadow.…

A: From the information given; the height of pole is 7 meter; length of shadow of building and pole are…

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

A:

Q: 9. Sketch the triangle in the coordinate plane whose vertices are (0,-2), (2, 3). and (4,-2). Find…

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Q: 12. Use one of the properties of paralelograms to prove ABCD is a parallelogram. A(0, 01 6-4 -2 -2…

A: In parallelogram ,opposite sides are congruent.

Q: 1A(2, 4) B(2,-2) 5. In the figure above, what are the coordinates of the midpoint of segment AB?…

A: See the details solution in below

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: Let T1 and T2 be two triangles in the plane. Find the number of possible points of intersection of…

A: Given, T1 and T2 are two triangles in a plane  To find the number of possible points of intersection…

Q: If i = v-1, which point shows the location of 5- 2i on the plane?

A:

Q: Points A, B, C, D form a parallelogram, where A = (1,-2,3), B = (3,1,2) and vecBC is parallel to…

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Q: The coordinates of a point in the xy-coordinate system are given. Assuming that the XY-axes are…

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Q: The midpoint of AB has coordinates (-3, 2), and the coordinates of point A are (1,4). What are the…

A: Given: The midpoint of AB has coordinates -3, 2, and the coordinates of point A are 1, 4. To Find:…

Q: The coordinates of three points are A(-1,-6), B(3,-12) and C(k,6). Find the value of k if (a) A, B…

A: The coordinates of the given points are A(-1,-6),B(3,-12) and C(k,6).

Q: Assuming A (3, -1, -4) And B (7,2,4), let the coordinates of point C be as we had it: as shown

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Q: 2/3 2/3 Sindangquationaflatangat linotothe cunse X (8,-4) " ye 2 a0at the point

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Q: Advanced Math prove that corresponding angles of two parallel lines and their intersection cannot be…

A: Corresponding angles are equal if the transversal intersects two parallel lines. If the transversal…

Q: The diagram shows a boat that is anchored at point B in a river. There are two boat ramps on the far…

A:

Q: The midpoint of \overline{\text{AB}}AB is M(1, 1)M(1,1). If the coordinates of AA are (-2, 5)(−2,5),…

A: Given, A=(x1,y1)=(-2,5) Midpoint M(1,1) Let the other point B have coordinates (x2,y2)

Q: Find the distance between the given parallel planes. 22 = 4y - 2x, 3z = 2 - 3x + 6y Need Help? Read…

A: The distance between the two parallel lines a1x+b1y+c1z=d1 and a1x+b1y+c1z=d2 is given by the…

Q: If AB = –7i + 3j + 8k and A is the point (-2, –3, 6), find B.

A: To find the point B

Q: Find the angle between the lines whose direction cosines are given by the equations 3L+3+5n=0 and…

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Q: Show that the point is on the unit circle. (2-) We need to show that the point satisfies the…

A: Equation of unit circle is x²+y² = 1

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: find the xy equation of all three sides of triangle ABC with verticies  A= (1,5)  B= (3, -1)  C=…

A: The given triangle is  now we have to find the equation of lines AB,AC,and BC

Q: Find the point with coordinates of the form (3a, a) that is in the third quadrant and is a distance…

A: Given data: The distance between points is s = 5. Given point is P(1, 2).

Q: Given the points A (0,0), B = = (7,1), and D (3,4). %3D %3D Find coordinates for the point C that…

A: Quadrilateral is parallelogram if it's diagonal bisects each other  I.e midpoint of both diagonal is…

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: The endpoints of AB are A(4,3) and B (1,1). What are the coordinates of A" after the image has been…

A: Coordinates of A.

Q: A parallelogram is defined by OA = (1, 2) and OB = (3, 2). Determine the length of its longest…

A: When a parallelogram is formed by two vectors, one diagonal is the vector sum of the sides and…

Q: 11. The coordinates of the midpoint of AB are (2,4), and the coordinates of point B are (3,7). What…

A:

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: The coordinates lie on line r. Which equation could represent line r? Ay = 1 y = 1 y = ,* +5 y= --x…

A: Given  Coordinates (5/2 ,0)If this coordinate lie on line r, then satisfythe equation , so we will…

Q: A(1, 1) and B(2, -3) are two points and D is a point on AB produced towards B such that AD= 3AB.…

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.