Answer: 13
Step-by-step explanation:
The distance formula between two points is:
[tex]c = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Our points are as follows -
[tex]x_2 = 0, x_1 = 5\\y_2 = 8, y_1 = -4[/tex]
If we plug them in:
[tex]c = \sqrt{(0 - 5)^2 + (8 - (-4))^2}[/tex]
All we need to do now is simplify
[tex]c = \sqrt{(-5)^2 + (12)^2}[/tex]
[tex]c = \sqrt{25 + 144}[/tex]
[tex]c = \sqrt{169} = 13[/tex]
