Find the units of displacement of the point (4,2) to get the image of (7,7). Chapter (transformation) (coordinates) (translation). Please answer my questions correctly. Unnecessary answers will be reported.

The units of the displacement are (3, 5) → T (x + 3, y + 5)

Step-by-step explanation:

The rules of translation of a point

∵ Point (4, 2) is translated by (h, k)

∵ Its image is (7, 7)

∴ The x-coordinate of the point is increased from 4 to 7

∴ The point is translated to the right by h units

∵ 4 + h = 7

∴ h = 7 - 4 = 3

∴ The point is translated to the right 3 units

∵ The y-coordinate of the point is increased from 2 to 7

∴ The point is translated up by k units

∵ 2 + k = 7

∴ k = 7 - 2 = 5

∴ The point is translated up 5 units

∴ The point is translated 3 units right and 5 units up

∴ The units of the displacement are (3, 5) → T (x + 3, y + 5)

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.

answer: $13,622.84

step-by-step explanation: check the picture for info and stats : )