Two points sit on a line with the following coordinates p(2,2) and Q(3,7) which is the distance from p to q

A 10
B 15
C 23
D 26

Respuesta :

ANSWER

[tex]\sqrt{26}[/tex]

EXPLANATION

Given the coordinates p(2,2) and Q(3,7),

we can use the distance formula to find the distance between P and Q.

The distance formula is given by,

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We substitute the coordinates to get,

[tex]d=\sqrt{(3-2)^2+(7-2)^2}[/tex]

[tex]d=\sqrt{(1)^2+(5)^2}[/tex]

[tex]d=\sqrt{1+25}[/tex]

[tex]d=\sqrt{26}[/tex]