Question

How would you set up the distance formula to find the distance between points E and F.
(1 point)
= (6-2)' +(1-5)?
=(-2) +613+15+1
= 12-6)'+15-1)2
=(-6-21+11-1-

Answer 1

To find the distance between two points E and F using the distance formula, we first need to know the coordinates of points E and F. Let's assume point E has coordinates \( (x_1, y_1) \) and point F has coordinates \( (x_2, y_2) \).

The distance formula is stated as:
\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]

If we take your partial setup, it seems there might be a misunderstanding or typo. Let's clarify based on typical coordinates.

If point E is \( (2, 5) \) and point F is \( (6, 1) \), you would set it up like this:

1. Identify the coordinates:
- \( E = (x_1, y_1) = (2, 5) \)
- \( F = (x_2, y_2) = (6, 1) \)

2. Apply the distance formula:
\[
d = \sqrt{(6 - 2)^2 + (1 - 5)^2}
\]

3. Solve it step-by-step:
- Calculate \( (6 - 2) = 4 \)
- Calculate \( (1 - 5) = -4 \)
- Square both results:
\[
d = \sqrt{(4)^2 + (-4)^2} = \sqrt{16 + 16}
\]
\[
d = \sqrt{32} = 4\sqrt{2}
\]

So, the distance \( d \) between points E and F would be \( 4\sqrt{2} \).

Please clarify if you have specific coordinates for E and F, and I can help you set it up accordingly!