SOLUTION: Find the distance between (-4,0) and (-5,-3). Write the answer in radical form.

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Question 111150: Find the distance between (-4,0) and (-5,-3). Write the answer in radical form.
Answer by doukungfoo(195) About Me  (Show Source):
You can put this solution on YOUR website!
To find the distance between two points you can use the distance formula.
d=sqrt%28%28x%5B2%5D-x%5B1%5D%29%5E2%2B%28y%5B2%5D-y%5B1%5D%29%5E2%29
Ok so the first point is (-4,0)
lets plug these numbers into the formula:
d=sqrt%28%28x%5B2%5D-%28-4%29%29%5E2%2B%28y%5B2%5D-0%29%5E2%29
The second point is (-5,-3)
put these numbers into the formula:
d=sqrt%28%28-5-%28-4%29%29%5E2%2B%28-3-0%29%5E2%29
now we have a formula with one variable to solve for
lets do it.
d=sqrt%28%28-5-%28-4%29%29%5E2%2B%28-3-0%29%5E2%29
first do all operations in the innermost parentheses
d=sqrt%28%28-5-%28-4%29%29%5E2%2B%28-3-0%29%5E2%29
d=sqrt%28%28-1%29%5E2%2B%28-3%29%5E2%29
next square each number
d=sqrt%281%2B9%29
d=sqrt%2810%29
10 doesn't have an exact squareroot and the question tells us to express the answer in radical form. so the distance between the two points is
sqrt%2810%29