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QUESTION IMAGE

name this formula. * $sqrt{(x - x)^{2}+(y - y)^{2}}$

Question

name this formula. *
$sqrt{(x - x)^{2}+(y - y)^{2}}$

Explanation:

Brief Explanations

The formula $\sqrt{(x - x)^2+(y - y)^2}$ simplifies to 0. It resembles the distance - formula $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$ in two - dimensional geometry for finding the distance between two points $(x_1,y_1)$ and $(x_2,y_2)$. Here, since both $x$ values and $y$ values are the same, it represents the distance of a point from itself which is 0.

Answer:

Distance formula (in a degenerate case where the two points are the same)