When you have two shapes to compare on a coordinate plane, you can determine the scale factor, knowing that the transformation w

Answer: y²z⁴ / x¹²

• The exponent for x is 12

• The exponent for y is 2

• The exponent for z is 4

Explanation:

1) The expression to simplify:

2) Rule: power of a power:

3) Rule: product of powers with identical bases

4) Add up the exponents

5) Transfer the negative exponent to the denominator:

The exponent attached to x is 12, for y it is 2, and for z it is 4.

Answer:

Each of the 4 arrangements will produce a rectangle.

Explanation:

Transforming a rectangle through rotation or translation will not alter its rectangular shape. This principle also applies when reflecting it across any axis. Thus, every sequence among the four provided will result in a rectangle.

Response:

The number 40 can be found in Pattern B. Additionally, following the rule, each sequence will expand.

Detailed breakdown:

Let’s build each sequence. Recall that the guideline is to "add 15" to generate each sequence starting from the provided initial number.

Pattern A.

Pattern B.

Pattern C.

You can see that the number 40 appears in Pattern B. Moreover, per the rule, each pattern will show an increase.