Question
For the points $P$ and $Q,$ find ( $a$ ) the distance $d(P, Q)$ and ( $b$ ) the coordinates of the midpoint M of line segment PQ. See Examples 2 and 5(a).$$P(-\sqrt{7}, 8 \sqrt{3}), Q(5 \sqrt{7},-\sqrt{3})$$
Step 1
We can use the distance formula which is given by: \[d(P, Q) = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\] where \(x_1, y_1\) are the coordinates of point P and \(x_2, y_2\) are the coordinates of point Q. Show more…
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For the points $P$ and $Q .$ find $(a)$ the distance $d(P, Q)$ and $(b)$ the coordinates of the midpoint $M$ of line segment $P Q$. $$ P(-\sqrt{7}, 8 \sqrt{3}), Q(5 \sqrt{7},-\sqrt{3}) $$
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