In the coordinate plane, the point A (0, 2) is translated to the point A'(-4, 4). Under the same translation, the points B(-4, 0) and C (-3, 4) are translated to B'and C', respectively. What are the coordinates of B' and C'?

Q: 3,0 on a coordinate plane

A: we have to plot (3,0) on a coordinate plane using graph we can plot (3,0) on coordinate plane as…

Q: write down the equation of the pair of straight lines joining the origin to the points of…

A:

Q: Find the distance from the point to the given plane. (1, -4, 6), 3x + 2y + 6z = 5

A: Given:   3x + 2y + 6z = 5     Point: ( 1 , -4 , 6 )

Q: Find the egmation for the Line" dhint passes through the point (,0) and parallel to the Line…

A: NOTE:Kindly repost the other question as a separate question.

Q: The straight-line beams between the raider dish and the drone registers a distance of 32km what is…

A:

Q: Find the point on the line x/a + y/b =1  that is closest to the origin. Be sure to enter it as an…

A:

Q: Solve for the distance from the point (-5, 4, 5) to the plane −x+4y−5z=4.

A: Given Plane: -x+4y-5z=4 and Point: (-5,4,5)

Q: Find a set of parametric equations of the line with the given characteristics.

A:

Q: The midpoint of AB is (-1,5) and the coordinates of point A are (-3,2). What are the coordinates of…

A: Given: The mid‐point of AB is -1, 5 and the coordinates of point A are -3, 2. To Find: The…

Q: 2) through: (-1, 5), parallel to y=-9x – 5 4) through: (-3, 4), parallel to y=-- 4 +3 3

A:

Q: Determine the symmetric equations of line that passes through the points B and С.

A:

Q: Verify the points (1,5) ,(2,3) and (-2,-1) are collinear or not

A:

Q: The distance between the points (-2,2,0) and (1, -1,0) is 3/2. True False

A:

Q: The length and diameter of a spaceship as  determined by an astronaut on board are 76m and 23…

A: The length and diameter of a spaceship as  determined by an astronaut on board are 76m and 23 m,…

Q: What are the x,y coordinates of the lowest point of the valley and what is the elevation at that…

A: Given, fx,y=-2000+0.004x-10002+0.001y+10002. It has been asked to find the lowest point of the…

Q: Find the coordinates of the point 7. of the way from A to B. 10 本y 10 8- B(t0,7) 6- 2- -> -6-4-2 -2…

A: Given P is a point 710 of the way from A to B .This implies that point P divides the line AB in…

Q: Find the distance from the point (3, -4, 2) to the yz-plane

A: We have to find the distance from the point 3,-4,2 to the yz-plane. We know that if any point px,y,z…

Q: Find the distance from point P(2, 7, -6) to the plane of equation 5x - y + 4z - 8 = 0

A: We have to find distance

Q: The point (5,4,7) is the midpoint between the points (10,8,1) and (x,y,2). Find (x,y,2).

A:

Q: Find the equation of the plane con taining the points Р(4, -1, 3) Q(1, -2, -1) and R(1, 0, 8)

A:

Q: if (u, v) and (s, t) are two distinct points in the plane, what is the distance between them?…

A:

Q: What is the distance between points (0,0) and (-3,4)?

A: Given points are  We know that distance between the points (x1,y1) and (x2,y2) can be calculated by…

Q: At what point on the line y = -b does the line segment from (0, 0) to (a,0) subtend the greatest…

A:

Q: B) Find Duf of f(x,y.z) x + y? + 2? - 3 at point(1,1,1)in the direction of point (3,5,-3).

A: Take gradient at given point and take dot product with unit vector for directional derivative

Q: Find the relationship between x and y such that point (x,y) is equidistant from the points (7,1) and…

A:

Q: Compute the original coordinates with respect to x and y axes if the translated coordinates of this…

A:

Q: The line passes through the point (-1, 4, -5) and is parallel to v = 2i – j. %3D

A:

Q: The plane that passes through the point (5,2,2) and is perpendicular to both x-5z=-24x-5z=-24 and…

A: The direction ratio of the normal vector to the plane x-5z=-24 or x+0y-5z=-24 is (1,0,-5) The…

Q: Find the point on the line y = 2x + 3 that is closest to theorigin.

A: Given equation of line,  y = 2x + 3 To find the point on line that is closest to the origin.

Q: Find the distance from the point to the given plane. (1, -3, 4), 3x+2y+ 6z = 5

A: Distance from point to plane formula If Ax + By + Cz + D = 0 is a plane equation, then distance from…

Q: Find the coordinates of the image of the point (-2, 2) when it is reflected across the line y-7 O(2…

A:

Q: What is the image of the point (-5, 2) under the translation T34?

A:

Q: What is the distance between points (-10, 6) and (-2, 2) on a coordinate plane?

A: Given problem is:

Q: Find the point P on the line y=6x that is closest to the point (74,0).  Type an ordered pair.

A: Given:The line y = 6x and a point (74,0).Let p be the point that is closest to the point (74,0). Let…

Q: Find the relationship between x and y such that the point (x,y) is equidistance from the points…

A:

Q: the distance between point and our plane is (-3, 3, -2) and not (-3, -3, -2)?

A:

Q: Find the point of intersection of the line through (1, -4, 1) and (4, -12, 6), and the plane given…

A:

Q: The perpendicular distance from (5,3) to the line y+4x= 6

A: Line = y+4x-6 = 0 and point ( 5,3)We Know that the perpendicular distance d= ax + by +ca2+b2Where a…

Q: What is the image of (0, -8) after a reflection over the line y = x?

A: The reflection of the point (x,y) over the line y=x is the point (y,x).

Q: Find an equation for the set of all points (r, y, z) equidistant from point 10.) (1,0, 2) and the…

A:

Q: Find the distance between the pair of points. (2, 6) and (-7, -4) 90 -1 O Visi 181 O vio

A:

Q: What is the distance between points (-6,-9 ) and ( 3,3) on the coordinate plane?

A: A cartesian plane is a plane that involves the cartesian axis, i.e. x and y-axis. A coordinate plane…

Q: Calculate the distance between the points K=(-9,7) and M=(-4, 2) in the coordinate plane. Give an…

A:

Q: Find the distance between the points (-1,2) and (1,-1)

A:

Q: through:(4,1) parallel to y= x+2

A:

Q: Find the distance from the point (2, 2, 3) to the line passing through (0, 0, 0) and (1, 1, 0)

A:

Q: Calculate the distance between the points M-(-2,-2) and H-(3,-8) in the coordinate plane. Give an…

A: To find the distance between the points M=(-2,-2) & H=(3,-8). Now, note that the distance…

Q: Solve for side Y for triangle XYZ X=85°, Z=46°,x=19

A:

Q: The distance between the line x =-2+2t ,y=2t+1, z=2-t and the line x=3- 2t ,y=-2t+1,z=t is

A: Distance between two Parallel Lines we calculate as a distance between intersection of the lines and…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.