Respuesta :
Answer:
5.
Step-by-step explanation:
Distance = √(2-6)^2 + (-2-(-5)^2)
= √(16 + 9)
= √25
= 5.
Hello ;)
We can calculate the distance between two points by knowing their coordinates.
Here is the formula :
Let two points [tex]A(x_{A};y_{A})[/tex] and [tex]B(x_{B};y_{B})\\[/tex]
The distance between those two points is given by using this formula :
[tex]AB^{2} =(x_{B}-x_{A})^{2} +(y_{B}-y_{A})^{2}[/tex]
Now, we can use this formula in your exercice.
(2 - 6)² + (-2 - (-5))²
= (-4)² + 3²
= 16 + 9
= 25
Do not forget to do the square root of 25 ;)
So we obtain : [tex]\sqrt{25}=5[/tex]
The distance between points (6 ; -5) and (2 ; -2) is 5 units of lengh.
