Use the image to answer the question. How would you set up the distance formula to find the distance between points E and F . (1 point) Responses d=(6−2)2+(1−5)2−−−−−−−−−−−−−−−√ d is equal to square root of open paren 6 minus 2 close paren squared plus open paren 1 minus 5 close paren squared end root d=((−2)+6)2+(5+1)2−−−−−−−−−−−−−−−−−−√ d is equal to square root of open paren negative 2 plus 6 close paren squared plus open paren 5 plus 1 close paren squared end root d=(2−6)2+(5−1)2−−−−−−−−−−−−−−−√ d is equal to square root of open paren 2 minus 6 close paren squared plus open paren 5 minus 1 close paren squared end root d=(−6−2)2+(1−(−5))2−−−−−−−−−−−−−−−−−−−√ d is equal to square root of open paren negative 6 minus 2 close paren squared plus open paren 1 minus negative 5 close paren squared end root

Answer 1

To set up the distance formula to find the distance between points E and F, you typically use the formula:

\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

Where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of points E and F, respectively.

From the provided options, the correct setup for the distance formula will depend on the actual coordinates of points E and F (which we cannot see since there is no image). However, if you provide the coordinates of these points (for example, let’s say E is (2, 5) and F is (6, 1)), it would be set up as follows:

\[ d = \sqrt{(6 - 2)^2 + (1 - 5)^2} \]

This matches with the first response you provided:

\[ d = \sqrt{(6 - 2)^2 + (1 - 5)^2} \]

So the correct way to set up the distance formula based on that format would be:

d = √((6 - 2)² + (1 - 5)²).

If you provide the specific coordinates for points E and F, I can help verify the correct response based on that.