00:01
For problem 57, we've been asked to find the distance between the points negative 2 root 7, 10, and 4 root 7, 8.
00:09
We can use the distance formula to do this.
00:12
The distance formula is given in blue, and we need to identify the values to substitute for x2, x1, y2, and y1.
00:20
The subscript 1 indicates that those values should come from the first point.
00:26
So x1 is the x value in the first point, and y1 is the y value in the first point.
00:35
Similarly, the second point can be labeled x2 and y2.
00:42
Now that we have those values identified, we can substitute them into the formula.
00:52
So in our first set of parentheses, we'll have 4 root 7 minus negative 2 root 7.
01:07
And that's all squared, added to the second set of parentheses, which will be 8 minus 10, quantity squared.
01:21
Now that we have all values substituted, we can simplify using the order of operations.
01:28
So first we'll simplify our parentheses.
01:32
4 root 7 plus negative 2 root 7 is the same as if 4 root 7 was being added to positive 2 root 7...