Answer:
(x, y) ⇒ (x + 5, y - 4)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.
Translation is the movement of a point either up, down, left or right. If a point A(x, y) is translated a units right and b units up, the new location of the point is at A'(x + a, y + b) while if a point A(x, y) is translated a units left and b units down, the new location of the point is at A'(x - a, y - b).
Since Quadrilateral MNOP was translated 5 units to the right and 4 units down to create quadrilateral M′N′O′P′, the rule that was applied was:
(x, y) ⇒ (x + 5, y - 4)
The equation of the line on the xy-coordinate graph ... is the distance from the center of the base to a point on the circumference of the top of the can?
Let's visualize this problem (See the picture below). The red line represents the diagonal that is 14 cm, the green sides represent the 25-cm sides, and the yellow line represents the diagonal that we need to find. From this, you can see that the Pythagorean Theorem can be applied to this problem (Since the diagonals are perpendicular)
a^2+b^2=c^2
14^2+b^2=25^2
196+b^2=625
b^2=429
b=20.71 (approximate)
:)