Question

calculate the distance between the points k = (5, 0) and b = (-3, 4) in the coordinate plane. round your answer to the nearest hundredth.

Explanation:

Step1: Identify distance formula

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

Step2: Substitute coordinates

$x_1 = 5,y_1 = 0,x_2=-3,y_2 = 4$, so $d=\sqrt{(-3 - 5)^2+(4 - 0)^2}=\sqrt{(-8)^2+4^2}=\sqrt{64 + 16}=\sqrt{80}$

Step3: Calculate and round

$\sqrt{80}\approx8.94$

Answer:

$8.94$