Question 43 Point C is twice as far from point A (0,-4) as it is from point B (-2, 3). If all three points are collinear, find the coordinates of point C. O (4, -18) O (4,10) O (6,-25) O (1,-15/2)

Q: If the rectangular coordinates of a point are (4,-6) the point symmetric to it with respect to the…

A:

Q: Plot (-6, - 3π/4) and (-6,5π/4) on the same polar plane.

A: We have to plot the polar graph

Q: The point (2, 3) is rotated 90° about the origin and then dilated by a scale factor of 4. What are…

A: According to question given that The point (2,3) is rotated 90° about the origin and then dilated By…

Q: Point C is the midpoint of AB. There exists a point D that is located on AB and is one-third of the…

A:

Q: If the point (-1,6) is shifted 2 units to the left and 4 units up,what are its new coordinates?

A: If the point (-1,6) is shifted 2 units to the left and 4 units up, what are its new coordinates?…

Q: Page 80 2. Passing through the point (-4, 7) and parallel to the equation | connecting the points…

A:

Q: 4) The point (3,4) is on a circle whose center is (1,4). What is the standard equation of this…

A:

Q: Point A is at (6,1) and point C is at (2,-7). Find the coordinates of point B on AC such that AB =…

A: A6, 1 & C2, -7 Let the coordinates of point B be x, y. Also given that,…

Q: The plane through the points (8,4,5), (-3,7,-5), (7,8,-3) has equation Ax + By+ Cz = If A = 16 find…

A:

Q: Point A (-2, 5) and point B (4, -1) are the endpoints of AB graphed below.

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: Find parametric equations of the line passing through the points (8, -5, 1) and (-4, -6, 2). Provide…

A: The given points are 8,-5,1 and -4,-6,2. We have to find the equation of the line passing through…

Q: The image of the point (7, –5) under a translation is (9, –2). Find the coordinates of the image of…

A: The point (9, -2) is obtained by adding 2 to the x-coordinate and adding 3 to the y-coordinate of…

Q: The point A(-7, 4) is reflected across the x-axis onto point B. Point B is reflected over the y-axis…

A: Given a point, A(-7, 4), The point B is the reflection of point A across the x-axis. The point C is…

Q: If the point (8, 5) was translated 4 units to the right and 7 units down its image would have which…

A:

Q: Point A' is called the reflection of A across the line 3x + 2y = 16, sometimes A' is simply called…

A: Given line is                                                        L : 3x+2y=16 A' is reflection…

Q: Point A(-7,-2) is rotated 270 counterclockwise and then shifted down 3 units. What are the…

A: We have to find point

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: The image of the point (3, -4) under a translation is (0, –5). Find the coordinates of the image of…

A: Given : The image of the point (3, -4) under a translation is (0, -5).   To find the coordinates…

Q: Point R has coordinates of (5,-6). What the coordinates of R' after being ref;ected across the…

A:

Q: Example 5: Point B divides AC so that AB :BC = 5:2. If A has coordinates (2, -1) and B has…

A:

Q: 6. The picture is aligned with the coordinate axes such that point D is at the origin (0,0) and…

A:

Q: 9/5 Directrix x + 2, center at (2, -6) and one of vertices at (2, -4). 5 %3D

A:

Q: Point Q' is the image of Q(-7,2) under a translation by 8 units to the right and 2 units up. What…

A:

Q: Example 2: Find the parametric and symmetric equations of the line through the points (1, 2, 0) and…

A:

Q: Point A is (-3,4) and point C is (2,-6).  What are the coordinates of point B on AC such that the…

A: Here point B lies on the line AC with coordinates A(-3,4) and C(2,-6),  the ratio of AB to AC is…

Q: The point (2, –7) was reflected over the x-axis or the y-axis. Its image is at (-2, -7). Which axis…

A:

Q: Point A has coordinates (3,4). After a translation 4 units left, a reflection across the x-axis, and…

A:

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: If the point (- 1, 6) is shifted 2 units left and 4 units up, what are its new coordinates?

A: To find the new coordinates  after the shifting  Let x,y be the coordinates, then  If k units are…

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

A: Use a specific formula I have written in the solution.

Q: Point A is located at (-7, 3). Point C is located at (14, -11). Find the coordinate that represents…

A: Given:  Point A is ( - 7 , 3 ) Point C is ( 14 , - 11 ). The distance between point A and point B is…

Q: Point A is at (6, -6) and point Cis at (-6, –2). AC. 3 Find the coordinates of point B on AC such…

A:

Q: Point A is at (1, 5) and point C is at (-5,-7)  Find the coordinates of point B on AC such that AC…

A: A1, 5 & C-5, -7 Also given that AC is 6 times as long as AB. AC=6AB That is,…

Q: The point (3,-5) is reflected over the x-axis. What are the coordinates of the new point? O (3. 5) O…

A:

Q: equation A and B in parametric and Cartesian form A passing through th

A: Here we have to find the equation A and B in parametric and Cartesian form,  A)  passing through the…

Q: Point B(7,4) is located on segment AC such that AB is % of AC. Find the coordinates of point C if…

A: There are 2 point is given and ratio is given so simply use the section formula and get the…

Q: Point C is located at (1, –2) on the coordinate plane. Point C is reflected over the y-axis to…

A:

Q: Point G(6,3) is located on segment JK three fourths of the way from J to K. IfJ has coordinates…

A: Apply sengent of line formula to find co ordinates of K

Q: Point C is twice as far from point A (0,-4) as it is from point B (-2, 3). If al three points are…

A: Topic = Coordinate geometry Coordinates of C is (-4 , 10)

Q: The parametric equations of the line that passes through A(-3,5,9) and B(-4,-7,2) is:

A:

Q: Triangle ABC has vertices A (-4, 1), B (-2, 1), and C (-1, -2). What are the coordinates of ABC…

A: It is rotation type problem

Q: 11. Point B has coordinates (-12, 5) and lies on the circle whose equation is x + y =169. If an…

A:

Q: D

A:

Q: Point D (-4, 9) is rotated 90 degrees counterclockwise. Which of the following is the y-coordinate…

A: When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x)

Q: The polar point (4, , 금) E) is equivalent to which cartesian pois O (2, -2/3) (-2/3, 2) O (-2, 2/3)…

A:

Q: Point D (2, 4) is rotated 180°.What are the coordinates of D'? A(-4, 2) B (4,-2) (-2,-4) D(-4,-2)

A:

Q: What is the image of the point (-4,8)(−4,8) after a rotation of 90^{\circ}90∘ counterclockwise about…

A: We need to find image of point.

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

A: