Respuesta :
Answer:
C
Step-by-step explanation:
(2,-5) move up three steps is (2, -2). if you draw it on a paper(and draw lines to connect them), you can see that they form a right triangle. apply a²+b²=c² and you should get 3²+2²=(√13)²
First we need to find the point after the translation of 3 units up.
(2,-5)->(2,-2)
Now we have the point (2,-2) we just need to use the difference formula to find the distance between this point and (5,0)
Distance=[tex]\sqrt{(5-2)^2+(0-(-2))^2}[/tex]
Now we need to simplify/solve this expression
=[tex]\sqrt{3^2+2^2}[/tex]
=[tex]\sqrt13[/tex]
Therefore the answer is C!