Question

Find the distance between the two points.(-3,3)✓ [?](-1,-1)Enter the number thatgoes beneath theradical symbol.Enter

Answer 1

20

Step-by-step explanation

Given the coordinate points (-3, 3) and (-1, -1)

The formula for calculating the distance between two points is expressed as;

`\sqrt[\square]{(x_2-x_1)^2+(y_2-y_{1_{}})^2}`

From the coordinates, x1 = -3, y1 = 3, x2 = -1 and y2 = -1

Substitute into the formula

`\begin{gathered} \sqrt[\square]{(-1-(-3))^2+(-1-3)^2} \\ =\text{ }\sqrt[\square]{(-1+3)^2+(-4)^2} \\ =\sqrt[\square]{(2^2)+16} \\ =\text{ }\sqrt[\square]{4+16} \\ =\text{ }\sqrt[\square]{20} \end{gathered}`

Hence the number that goes beneath the radical symbol is 20