Question

3 numeric 2 points find the length of c on the graph. when necessary, round to the nearest tenth. (-1,5) 6 5 4 3 2 1 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 (4,1)

Explanation:

Step1: Identify the coordinates

Let \((x_1,y_1)=(-1,5)\) and \((x_2,y_2)=(4,1)\)

Step2: Use the distance formula

The distance formula is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)
Substitute the values: \(x_2 - x_1=4-(-1)=5\), \(y_2 - y_1=1 - 5=-4\)
Then \(d=\sqrt{5^2+(-4)^2}=\sqrt{25 + 16}=\sqrt{41}\)

Step3: Calculate the value

\(\sqrt{41}\approx6.4\)

Answer:

\(6.4\)