4. Which of the following describes the distance formula? A) $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ B) $d = \sqrt{(x_2 + x_1)^2 + (y_2 + y_1)^2}$ C) $d = \sqrt{(x_2 - x_1)^2 - (y_2 - y_1)^2}$ D) $d = \sqrt{(x_2 + x_1)^2 - (y_2 + y_1)^2}$
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The formula is given as Nd = √((x2 - x1)^2 + (y2 - y1)^2), where (x1, y1) and (x2, y2) are the coordinates of the two points. Show more…
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Choose the expression that equals the distance between two points $\left(x_{1}, y_{1}\right)$ and $\left(x_{2}, y_{2}\right)$ (a) $\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}$ (b) $\sqrt{\left(x_{2}+x_{1}\right)^{2}-\left(y_{2}+y_{1}\right)^{2}}$ (c) $\sqrt{\left(x_{2}-x_{1}\right)^{2}-\left(y_{2}-y_{1}\right)^{2}}$ (d) $\sqrt{\left(x_{2}+x_{1}\right)^{2}+\left(y_{2}+y_{1}\right)^{2}}$
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The Distance and Midpoint Formulas
Multiple Choice Choose the expression that equals the distance between two points $\left(x_{1}, y_{1}\right)$ and $\left(x_{2}, y_{2}\right)$ (a) $\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}$ (b) $\sqrt{\left(x_{2}+x_{1}\right)^{2}-\left(y_{2}+y_{1}\right)^{2}}$ (c) $\sqrt{\left(x_{2}-x_{1}\right)^{2}-\left(y_{2}-y_{1}\right)^{2}}$ (d) $\sqrt{\left(x_{2}+x_{1}\right)^{2}+\left(y_{2}+y_{1}\right)^{2}}$
Fill in the blanks. The formula to find the distance between points $\left(x_{1}, y_{1}\right)$ and $\left(x_{2}, y_{2}\right)$ is $d=$ $\sqrt{+}$
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