The rule as a mapping for the translation of a rectangle is (x, y) → (x – 2, y + 7). which describes this translation? a translation of 2 units down and 7 units to the right a translation of 2 units down and 7 units to the left a translation of 2 units to the right and 7 units up a translation of 2 units to the left and 7 units up

we know that

in the rule for the translation of a rectangle

the term means a translation of units to the left

the term means a translation of units up

therefore

the answer is the option

a translation of 2 units to the left and 7 units up

i leave the calculator work to you.

7. diameter 4 miles, circumference 4π miles

8. radius 0.2 miles, circumference 0.4π miles

[this is a bad problem because the actual radius of a car on the track is less than 0.2 miles so the answer is less than 0.4π miles]

9. radius 6 feet, circumference 12π feet

10. diameter 14 cm, circumference 14π cm

11. diameter 4.8 feet, circumference 4.8π feet