Rectangle fghj is transformed according to the rule t(–3, –2)ry = x. what is the y-coordinate of j”?

The y-coordinate of J'' is 8.

Step-by-step explanation:

The given rule of transformation is

It means, first the figure is reflected across the line y=x and then translated by the rule T(-3,-2).

From the given figure it is clear that the coordinates of point J are (10,-6).

If a figure is reflected across the line y=x, then

The coordinate of point J'.

If a figure is translate by the rule T(-3,-2), then

The coordinate of point J''.

Therefore the y-coordinate of J'' is 8.

ending amount = beginning amount / (2^n)

where "n" = number of half-lives (or elapsed time / half-life)

ending amount = 50 mg / (2 ^10 / 5.3)

ending amount = 50 mg / (2 ^ 1.8867924528)

ending amount = 50 m / 3.6981210597

ending amount = 13.5203794557 mg

or about 13.5 mg remain

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