Find the distance between the points. Round to the nearest hundredth, if necessary. (-4, 8), (4, 1)
A)9.00
B)7.00
C)10.63
D)12.04
E)12.37

Question

Quizplus · Accepted Answer

We use the distance formula to find the distance between two points in a coordinate plane:

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

Plugging in the coordinates of the two points, we get:

d = $\sqrt{(4-(-4))^2 + (1-8)^2}$

d = $\sqrt{8^2 + (-7)^2}$

d = $\sqrt{64 + 49}$

d = $\sqrt{113}$

Rounding to the nearest hundredth, we get:

d ≈ 10.63

Find the Distance Between the Points