Question

BA is 9.6 units long. If BA is dilated by a scale factor of k = 1.6, what is the length of B'A'?

Answer 1

15.36

Explanation:

i multiplied them

Answer 2

When BA is dilated by a scale factor of 1.6, the length of B'A' becomes 15.36 units.

If BA is dilated by a scale factor of k = 1.6, the length of B'A' (denoted as \
`(l'\)`) can be found using the formula for dilation:

`\[ l' = k \cdot l \]`

where:

- l' is the length of the image after dilation,

- k is the scale factor,

- l is the original length.

In this case, l = 9.6 units and k = 1.6. Substitute these values into the formula:

`\[ l' = 1.6 \cdot 9.6 \]`

`\[ l' = 15.36 \]`

Therefore, the length of B'A' is 15.36 units. The correct answer is: 15.36 units.