Question

find the distance between the two points rounding to the nearest tenth (if necessary). (6,4) and (-3,-5)

Explanation:

Step1: Identify the coordinates

Let \((x_1,y_1)=(6,4)\) and \((x_2,y_2)=(-3,-5)\)

Step2: Apply the distance formula

The distance formula is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)
Substitute the values: \(d=\sqrt{(-3 - 6)^2+(-5 - 4)^2}\)

Step3: Simplify the expressions inside the square root

\(-3-6=-9\), \(-5 - 4=-9\)
\(d=\sqrt{(-9)^2+(-9)^2}=\sqrt{81 + 81}=\sqrt{162}\)

Step4: Calculate the square - root and round

\(\sqrt{162}\approx12.7\)

Answer:

\(12.7\)