Answer:
[tex]\sqrt{53}[/tex]
Step-by-step explanation:
To find the distance between two points, we can use the distance formula. The distance formula is:
[tex]\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}[/tex]
By plugging in (-1, -2) and (1, 5) into the distance formula, we get:
[tex]\sqrt{(1-(-1))^{2}+(5-(-2))^{2}}=\sqrt{(1+1)^{2}+(5+2)^{2}}=\sqrt{(2)^{2}+(7)^{2}}=\sqrt{4+49}=\sqrt{53}[/tex]
So the distance between the two points is [tex]\sqrt{53}[/tex].
I hope you find my answer and explanation to be helpful. Happy studying.
