Question

Hi ! It would be awesome If some genius could check if I’m right plis :^

Answer 1

D. 12 units

Explanation:

For a point to be translated x units to the left, we must subtract x from the original point, so the x coordinate for M' is -4 as 4 - 8 = -4

For a point to be translated x units down, we must subtract x from the original point, so the y coordinate for M' is -3 as 6 - 9 = -3

Thus, the coordinates for M' is (-4, -3)

The formula for distance, d, between two points is

`d=\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2 }`, where (x1, y1) is one point and (x2, y2) is another point.

If we allow M (4, 6) to be our x1 and y1 point and M' (-4, -3) to be our x2 and y2 point, we can find the distance between the two points:

`d=√((4-(-4))^2+(6-(-3))^2)\\ d=√((4+4)^2+(6+3)^2)\\ d=√((8)^2+(9)^2)\\ d=√(64+81)\\ d=√(145)\\ d=12.04159458`