The coordinates of the vertices of rectangle RSTU are R(-7, -3), S(-7, 4),T(-2, 4), and U-2, -3). The translation (x, y) + (x+2, y-8) is applied to the rectangle,
followed by the translation (x, y) → (x-4, y+6). What are
the coordinates of the image of U after the two translations
are applied?

A. -2,-2

B. 0,-1
C. -8,-1
D. -4,-5

answer: $1794

step-by-step explanation:

answer: the correct option is d.

explanation:

it is given that the triangle j'k'l' shown on the grid below is a dilation of triangle jkl using the origin as the center of dilation.

from the given graph it is noticed that k(4,8) and k'(2,4). let origin is defined by o and scale factor is defined by k, then

    (1)

distance formula,

put these values in equation (1).

therefore scale factor is     and option d is correct.

so the rectangle is 80cm (area)

now to find the area of a triangle.

base times height.

4 times 8.

your answer is 96cm.

hope this .