Answer:
5
Step-by-step explanation:
The change in x from (0,5) to (3,9) is 3 - 0 which is 3. The change in y is 9 - 5 which is 4. Using the Pythagorean theorem (using the two points as the endpoints of the hypotenuse in a right triangle) we get:
[tex]3^2+4^2=c^2[/tex] where c is the distance between the two points (the hypotenuse of the right triangle). The equation simplifies to:
[tex]9+16=c^2[/tex]
Which simplifies to:
[tex]\sqrt{25} =c[/tex]
Thus, c (the distance between (0,5) and (3,9) is 5.
Hope this helps :)
