Question

what is the unit distance, rounded to the nearest tenth, between points a and b? enter the answer in the box. units

Explanation:

Step1: Identify coordinates

Let \(A(-4,4)\) and \(B(4, - 5)\).

Step2: Apply distance formula

The distance formula between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). Here \(x_1=-4,y_1 = 4,x_2=4,y_2=-5\). Then \(d=\sqrt{(4-(-4))^2+((-5 - 4))^2}=\sqrt{(4 + 4)^2+(-9)^2}=\sqrt{8^2+(-9)^2}=\sqrt{64 + 81}=\sqrt{145}\).

Step3: Calculate and round

\(\sqrt{145}\approx12.04159\). Rounding to the nearest tenth gives \(d\approx12.0\).

Answer:

12.0