Answer: The approximate distance is 14.76
Step-by-step explanation:
You can use the following formula for calculate the distance between two points:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
For the points (3, 5) and (-4, -8) you can identify that:
[tex]x_2=-4\\x_1=3\\y_2=-8\\y_1=5[/tex]
Now you need to substitute these values into the formula.
Therefore, the approximate distance between the given points is:
[tex]d=\sqrt{(-4-3)^2+(-8-5)^2}\\\\d=\sqrt{(-7)^2+(-13)^2}\\\\d=\sqrt{49+169}\\\\d=\sqrt{218}[/tex]
[tex]d[/tex]≈[tex]14.76[/tex]
