If the side lengths of a cube are dilated from 10 yards to 31 yards, find the scale factor that relates the area of one face of the original cube to a face of the scaled cube. Write answer as number only, Round your answer to two decimal places if needed.

  9.61

Step-by-step explanation:

The area of a face of the original cube is the square of its side length:

  (10 yd)² = 100 yd²

The area of a face of the dilated cube is the square of its side length:

  (31 yd)² = 961 yd²

Then the scale factor relating the area of the dilated cube to that of the original is ...

  scale factor = (961 yd²)/(100 yd²)

  scale factor = 9.61

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Perhaps you can see that this scale factor is (31/10)², the square of the dilation factor.

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !

answer: 2x + 2 − 2 = 10 − 2; subtraction property of equality

step-by-step explanation: