Answer: 5
Step-by-step explanation:
The formula for finding distance is [tex]d=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1} )^2 }[/tex].
First, we plug in the values:
[tex]d=\sqrt{(1-4)^2+(-2-2)^2}[/tex]
Now, we solve what is in the parentheses (remember P.E.M.D.A.S):
[tex]d=\sqrt{(-3)^2+(-4)^2}[/tex]
Then exponents:
[tex]d=\sqrt{9+16}[/tex]
Add everything up:
[tex]d=\sqrt{25}[/tex]
Finally, find the square root:
[tex]\sqrt{25}=5[/tex]
We now have our answer:
d = 5
