Answer:
19.4
Step-by-step explanation:
The distance between the x coordinates of -4 and 15 would be 19 and the distance between the y coordinates of 2 and 6 would be 4. We can use these to draw a right triangle. The legs would be 19 and 4. We would use the Pythagorean Theorem to find the hypotenuse.
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
[tex]19^{2}[/tex] + [tex]4^{2}[/tex] = [tex]c^{2}[/tex]
361 + 16 = [tex]c^{2}[/tex]
377 =[tex]c^{2}[/tex]
[tex]\sqrt{377}[/tex] = [tex]\sqrt{c^{2} }[/tex]
19.4 ≈ c That is our answer rounded to the nearest tenth
