SOLUTION: Find the distance between the given points. (0,5) and (-3,-7).

Question 388691: Find the distance between the given points. (0,5) and (-3,-7).

Found 2 solutions by haileytucki, Alan3354:
Answer by haileytucki(390) (Show Source): You can put this solution on YOUR website!
(0,5),(-3,-7) ~= SQUARE ROOT SYMBOL THROUGHOUT EQUATION

Use the distance formula to determine the distance between the two points.
distance=~((x2-x1)^(2)+(y2-y1)^(2))
Substitute the actual values of the points into the distance formula.
distance=~((-3-(0))^(2)+(-7-(5))^(2))
Multiply -1 by the 0 inside the parentheses.
distance=~((-3+0)^(2)+(-7-(5))^(2))
Add 0 to -3 to get -3.
distance=~((-3)^(2)+(-7-(5))^(2))
Squaring an expression is the same as multiplying the expression by itself 2 times.
distance=~(((-3)(-3))+(-7-(5))^(2))
Multiply -3 by -3 to get 9.
distance=~(((9))+(-7-(5))^(2))
Remove the parentheses around the expression 9.
distance=~((9)+(-7-(5))^(2))
Multiply -1 by the 5 inside the parentheses.
distance=~((9)+(-7-5)^(2))
Subtract 5 from -7 to get -12.
distance=~((9)+(-12)^(2))
Squaring an expression is the same as multiplying the expression by itself 2 times.
distance=~((9)+((-12)(-12)))
Multiply -12 by -12 to get 144.
distance=~((9)+((144)))
Remove the parentheses around the expression 144.
distance=~((9)+(144))
Remove the parentheses that are not needed from the expression.
distance=~(9+144)
Add 144 to 9 to get 153.
distance=~(153)
Pull all perfect square roots out from under the radical. In this case, remove the 3 because it is a perfect square.
distance=3~(17)
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Find the distance between the given points. (0,5) and (-3,-7).
----------------

d =~ 12.37 units

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