22) (Section 9.1) Convert rectangular point (-24,7) to polar coordinates

Q: What are the rectangular coordinates of the point (3, 270 degree )?

A:

Q: What is the image of point (-3, reflection in the origin? 1) (3,1) 2) (-3, 1) 3) (1,3) 4) (-1,-3)

A: Given query is to find the image of point (-3,-1) when reflect it about origin.

Q: Determine the coordinates of image point after a rotation of 25 degrees about (0,0) from point (4,0)

A: Use rotation matrix

Q: Find the parametric equation for a line through (5,-1,1) which is perpendicular to the line segment…

A:

Q: Find parametric equations to represent the line segment from (-2, 7) to (3, -1).

A: on solving this we get

Q: Give the parametric and symmetric equations of the line that passes through the point (4, –3, 5) and…

A:

Q: In point P(-6,-8,8), express that vector that extends from P to Q(8, 6, -1) in: a. rectangular…

A:

Q: What is the image of the point (−5,−4) after a rotation of 180^{\circ}180∘ counterclockwise about…

A: Given The point is (-5 ,-4)  The rotate given point at 180 degree .

Q: What is the image of the point (-9,3)(−9,3) after a rotation of 180^{\circ}180∘ counterclockwise

A: Given point (-9,3)

Q: 4.) What is the location of the coordinate (-3,6) when rotated 180 degrees counter clockwise about…

A: To find what is the location of the coordinate (-3,6) when rotated 180 degrees counter clockwise…

Q: What is the area of the parallelogram formed by the two vectors = (1,5) and = (-3,-2)?

A:

Q: Describe a transformation that carries the triangle with vertices (0,0), (13,0), and (3,2) onto the…

A: The vertices of the given triangles are: 0, 0, 13, 0 and 3, 2 Plot the vertices in the graph: Draw…

Q: In point A (-6,-8,8), express that vector that extends from A to B (8, 6, -1) in spherical…

A:

Q: 4) Point M is the midpoint of AB. If the coordinates of A are (-3,6) and the coordinates of M are…

A: We will use the mid point formula to find the coordinates of B

Q: Point P is rotated 210° counterclockwise around a circle with a diameter of 20 meters. If the center…

A:

Q: Find the parametric equations for the line segment from (5,-1,1) to (5,4,3)

A: The given points are 5, -1, 1 and 5, 4, 3. The parametric equation of a line segment joining the…

Q: 11. If point (5,2) is rotated counterclockwise 90° about the origin, its image will be point. O a)…

A:

Q: 3. Point A (-3, 5) is rotated 270 counterclockwise degrees about the origin. What the coordinates of…

A: Initially the point is (-3,5)

Q: Point Q of quadrilateral QRST Is (-9,2). What Is the image of Q after QRST has been reflected across…

A:

Q: As part of video game, the point (1,6) is rotated counterclockwise about the origin through an angle…

A: If a point (x,y) and angle is given and we have to find the new coordinates (X,Y)  after rotating it…

Q: Give the parametric equation of the line that passes through the point (−4, 3, −5) and is…

A:

Q: 7. What is the image of the point (-3, 14) after a counterclockwise 90" rotation?

A: We have to find out

Q: The image of the point (–1, –3) under a translation is (-4, –2). Find the coordinates of the image…

A: Translation is the shifting of coordinates of a point used to get image of a point.

Q: triangle

A: Given are the coordinates of vertices of triangle as -1,1, 5,-1 and 4,3 Query is to find the angles…

Q: 3. If point (-3, 5) is rotated counterclockwise 180 about the origin, its image will be point 1) (5,…

A:

Q: Give the parametric and symmetric equations of the line that passes through the point (4, –3,5) and…

A: we have to find the equation of line which is passes through the given point and perpendicular to…

Q: What is the image of the point (-7,5) after a rotation of 180° counterclockwise about the origin?…

A: We will use the formula for transformation of axes by an angle to find the new co-ordinates of the…

Q: What are the parametric equations for the line segment from (3,2) to (-10,5)?

A: To determine the parametric equation of a line segment.

Q: point (2, 3, –1) ans is perpendicular to both lines L1 and L2 * = 1+t L1 : y = 3t and L2 : y = -3+…

A: Give the parametric and symmetric (if any) equations of the line that passes through the point…

Q: Point M(-6,8) is rotated 90 degrees counterclockwise about the origin. What is the coordinate of M'?

A: In case of a counter-clockwise rotation about 90°, a point (x,y) is mapped to (-y, x).

Q: Point (1, — 1) is the midpoint of AB, where A has coordinates(—1, 3). Find the coordinates of B

A: Here given midpoint of line AB is (1, -1) also the coordinate of A is (-1,3) Let coordinate of B is…

Q: Point B of a triangle ABC is at (3 , 4). If triangle ABC is reflected about the x-axis and then…

A: Given point B(3,4)

Q: Point r has coordinates of (5,-6). What are the coordinates of r' after being reflected across the…

A: When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate…

Q: Provide the parametric and symmetric equations of the line that passes through the point (4, -3, 5)…

A:

Q: What is the image of the point (-9,3)(−9,3) after a rotation of 180∘ counterclockwise

A:

Q: find a set of parametric equations of the line through (2,8,3) and (11,20,21)

A: The line through the points (2,8,3) and (11,20,21)

Q: What is the image of the point (6,-3) after a rotation of 180° counterclockwise about the origin?

A: Our Aim is to tell the image of the point (-6,-3) after a rotation of 180°counterclockwise about the…

Q: As part of video game, the point (2,1) is rotated counterclockwise about the origin through an angle…

A: The coordinates of the given point are (2,1). The relation between cartesian coordiantes x, y and…

Q: 1. Find the coordinate of the point (2,4) in new system created by rotating the axes by Ø = 30°?

A:

Q: Find the new coordinate of point (6,1) if the axes is translated to the new origin

A:

Q: What 3 dimensional shape is created when this shape is rotated around the axis

A: To find the correct option

Q: Find parametric equations of the line passing through (3, −1, −3) and perpendicular to the line…

A: The required line is passing through the point 3,-1,-3 and is perpendicular to 3,-2,4 and 0,3,5.…

Q: Find the angles of the triangle with vertices: (0,1,0), (1,0,3) and (5,5,0)

A: The vertices are given as (0,1,0) , (1,0,3) , (5,5,0) We know that  d = (x2-x1)2+(y2-y1)2+(z2-z1)2…

Q: Point (4,-4), cırele centered (1,0) and containing the porit (l,5).

A: If any circle centered at (a,b) and contained a point (c,d), then it can be observed that the radius…

Q: If the point (3, 8) was rotated by 180 about the origin its image coordinates would be (1)(-3,8)…

A: When coordinate (h,k) rotated about origin with 180° then new coordinate (-h,-k)

Q: Give the parametric and symmetric equations of the line that passes through the point (5,−1,3) and…

A:

Q: As part of video game, the point (7,6) is rotated counterclockwise about the origin through an angle…

A: Given, As part of the video game, the point (7,6) is rotated counterclockwise about the origin…

Q: Chapter 11, Section 11.2, Question 025c Find the component form of the vector v in 2-space that has…

A: We know that  ||v||=x2+y2=r||v||=8x2+y2=8=rso r=8   Component of vector v  can be written as…

Q: What are the new coordinates for A(-5,4) B(-1,3) and C(-4,1) after rotating 75 degrees…

A: Answer and explanation is given below...

Q: The point (4,5) is rotated 180° about the origin. What are the coordinates of the resulting image? A…

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.