Question

in coordinates plane, what is the length of the line segment that connects points at (4, -1) and (9, 7) ? round to the nearest hundredth. ____ units.​

Answer 1

Answer:

17.72

Step-by-step explanation:

The formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We have the points (4, -1) and (9, 7). Substitute:

$d=\sqrt{(9-4)^2+(7-(-10))^2}=\sqrt{5^2+17^2}=\sqrt{25+289}=\sqrt{314}\approx17.72$