Provide an appropriate response.
-Find the distance between the points $( 3 \sqrt { 2 } , 0 )$ and $( \sqrt { 2 } , - \sqrt { 5 } )$.
A) $\sqrt { 13 }$ units
B) $2 \sqrt { 3 }$ units
C) $\sqrt { 15 }$ units
D) 13 units

Question

Quizplus · Accepted Answer

The distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ in a plane is given by the formula $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$. Applying this formula to the given points $(3\sqrt{2}, 0)$ and $(\sqrt{2}, -\sqrt{5})$, we get $\sqrt{((\sqrt{2} - 3\sqrt{2})^2 + (-\sqrt{5} - 0)^2)} = \sqrt{(-2\sqrt{2})^2 + (-\sqrt{5})^2} = \sqrt{8 + 5} = \sqrt{13}$ units.

Provide an Appropriate Response (32,0)( 3 \sqrt { 2 } , 0 )(32​,0)

Provide an Appropriate Response $( 3 \sqrt { 2 } , 0 )$