Answer:
The distance between the 2 points is about 13.6
Step-by-step explanation:
Picture the 2 points on a graph, and then look at the distance between them as the hypotenuse of a right triangle. You can easily find the length of the legs of that triangle, and with those legs, you can use the pythagorean theorem to calculate the length between the points.
The length of one leg is the distance between the 2 x-coordinates, between -5 and 3, so that's 8.
[tex]3--5=3+5=8[/tex]
The length of the other leg is the distance between the y, between 2 and -9.
[tex]-9-2=-11[/tex]
That's just a distance of 11, as there's no such thing as negative distance.
Now we have the legs, so we can find the hypotenuse:
[tex]a^2+b^2=c^2\\8^2+11^2=c^2\\64+121=c^2\\c^2=185\\c\approx13.6[/tex]
