Find the distance between the points given. (-3, 2) and (9, -3) 13

The distance between two points on a graph is

Square root of [ (difference in the y-values)² + (difference in the x-values)² ] .

So for these two points, the distance between them is

square root of [ (-5)² + (12)² ] =

square root of [ 25 + 144 ]  =

square root of [ 169 ] =

13 .

Yes, the ' 13 ' you typed at the end of the question is the correct answer to it.

a.) travels faster in solids because the particles are closer together.

air is a gas water is a liquid

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west