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

The image of the point C(-5,0) for the scale factor 8 is: C'(-40, 0)

Step-by-step explanation:

Given the coordinates of the point

We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.

Rule to calculate the dilation by a scale factor 8 centered at the origin

P(x, y) → P'(8x, 8y)

Here, P'(8x, 8y) is the image of P(x, y).

It means the coordinates of the image can be determined by multiplying the coordinates of the original point by 8.

Thus,

C(-5, 0) → C'(8(-5), 8(0)) = C'(-40, 0)

Therefore,

The image of the point C(-5,0) for the scale factor 8 is: C'(-40, 0)

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation: