A dilation has center​ (0,0). Find the image of the point ​L(8​,​0) for the scale factor 5 .

To find the image of point L(8,0) under a dilation with center (0,0) and scale factor 5, we need to multiply the coordinates of L by the scale factor.

The coordinates of the image point L' can be found using the formula:

x' = sf * x
y' = sf * y

where sf represents the scale factor, x and y are the coordinates of the original point, and x' and y' are the coordinates of the image point.

Applying the formula with sf = 5:

x' = 5 * 8 = 40
y' = 5 * 0 = 0

Therefore, the image of point L(8,0) under the dilation with center (0,0) and scale factor 5 is L'(40,0).