Answer:
The answer is 2[tex]\sqrt{17}[/tex], we need to use the distance between point formula; I recommend you search in the internet another examples.
Step-by-step explanation:
We need to calculate the distance between points, so we need to use the formula d=[tex]\sqrt{(x_{1}- x_{2} )^{2}+(y_{1}-y_{2}) ^{2}}[/tex]
You can use Janes house (-5,-2) or friends house like (3,-4) point 1 or 2, it is the same way.
when we substitute in the formula
:
d = [tex]\sqrt{(-5-2)^{2}+(-2-(-4))^{2} }[/tex]
d=[tex]\sqrt{(-8)^{2}+(2)^{2} }[/tex]
d=[tex]\sqrt{64+4}[/tex] = [tex]\sqrt{68}[/tex]
We need to reduce this result, so we need to find two number wich on of those can we solve the square root, if we divide 68/4 we find:
d=[tex]\sqrt{4*17}[/tex]
And 4 has exact square root result, so the result in:
2[tex]\sqrt{17}[/tex]
