A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation? (x, y) → (x + 5, y – 3)
(x, y) → (x + 5, y + 3)
(x, y) → (x – 3, y + 5)
(x, y) → (x + 3, y + 5)

3rd option

Step-by-step explanation:

A translation of 5 units up , in the positive y- direction means add 5 to the y- coordinate.

A translation of 3 units left, in the negative x- direction means subtract 3 from the x- coordinate.

Then translation rule is

(x, y ) → (x - 3, y + 5 )

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x