Question 388691
(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)