Question

The two points on the coordinate plane represent Jane's house and her friend's house. Find the distance between the houses.

Answer 1

Answer:

The answer is 2$\sqrt{17}$, 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=$\sqrt{(x_{1}- x_{2} )^{2}+(y_{1}-y_{2}) ^{2}}$

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 = $\sqrt{(-5-2)^{2}+(-2-(-4))^{2} }$

d=$\sqrt{(-8)^{2}+(2)^{2} }$

d=$\sqrt{64+4}$ = $\sqrt{68}$

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=$\sqrt{4*17}$

And 4 has exact square root result, so the result in:

2$\sqrt{17}$