A figure has been dilated from the origin by a scale factor of 17 . If dilation from the origin maps the dilated image back onto the original figure, what is its scale factor?

1/17

Step-by-step explanation:

if i am understanding this right, you need to know what scale factor you need to turn the dilated image back to its original size? if that is the case, then you take the inverse (1/x) of 17, so (1/17)

In an equation, the phrase "three times the sum of y and 8 is 51" means: 3(y + 8) = 51.

First, distribute 3(y + 8) by multiplying the 3 into the parentheses. You are left with 3y + 24 = 51. To simplify further, subtract 24 from both sides because both do not have variables and you need to get rid of the 24 on the left.

3y + 24 - 24 = 51 - 24

3y = 51

Now, divide by 3 on both sides to leave y by itself.

3y / 3 = 51 / 3

y = 17