## College Algebra 7th Edition

$\sqrt{(c-a)^2 + (d-b)^2}$; $10$
RECALL: The distance $d$ between two points $(a, b)$ and $c, d)$ can be found using the distance formula: $d=\sqrt{(c-a)^2 + (d-b)^2}$ Thus, using the formula above, the distance between the points $(1, 2)$ and $(7, 10)$ is: $d=\sqrt{(7-1)^2+(10-2)^2} \\d=\sqrt{6^2+8^2} \\d=\sqrt{36+64} \\d=\sqrt{100} \\d=\sqrt{10^2} \\d=10$ Thus, the missing expressions in the given statements are (in order): $\sqrt{(c-a)^2 + (d-b)^2}$; $10$