Question

Could you review my answer? Not sure if its right.

Answer 1

12

Explanation

The length of a segment with endpoints (x₁, y₁) and (x₂, y₂) is calculated as follows:

`length=√((x_2-x_1)^2+(y_2-y_1)^2)`

In this case, the endpoints are C(0,3) and D(0,7), then the length of the segment CD is:

`\begin{gathered} \bar{CD}=√((0-0)^2+(7-3)^2) \\ \bar{CD}=√(4^2) \\ \bar{CD}=4 \end{gathered}`

After CD is dilated by a factor of 3, the length of the image will be:

`\begin{gathered} \text{ length of the image of CD = }3*\text{ length of CD} \\ \text{ length of the image of CD = }3*4 \\ \text{ length of the image of CD = 12} \end{gathered}`