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 negative 6 minus 2 close paren squared plus open paren 1 minus negative 5 close paren squared end root 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 2 minus 6 close paren squared plus open paren 5 minus 1 close paren squared end root d=((−2)+6)2+(5+1)2−−−−−−−−−−−−−−−−−−√

Answer 1

To find the distance between two points \( E(x_1, y_1) \) and \( F(x_2, y_2) \), you would use the distance formula, which is:

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

Let's say the coordinates of point \( E \) are \( (x_1, y_1) \) and the coordinates of point \( F \) are \( (x_2, y_2) \).

Now, if we look at your options, we need to identify the correct setup of the distance formula based on the values of \( x_1, y_1 \) and \( x_2, y_2 \).

Example: If \( E \) is at \( (2, 5) \) and \( F \) is at \( (6, 1) \), then the distance formula would be set up as follows:

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

In this specific case, the correct choice based on the options you provided would reference the points \( E(2, 5) \) and \( F(6, 1) \).

However, if you're looking at the values of points as given in your options, please ensure that you state the coordinates of \( E \) and \( F \) so I can help identify the exact choice for you.

If none of the computations you provided matches these values, please clarify which points correspond to \( E \) and \( F \).