find the hypotenuse for the following

Answer:
6.403 units
or [tex]\sqrt{41}[/tex]
Step-by-step explanation:
We want the hypotenuse.
The hypotenuse is from the point (-3, -1) to point (2, 3)
D( (-3, -1), (2, 3)) = root ( (2 - (-3))^2 + (3 - -1)^2 ) =
D( (-3, -1), (2, 3)) = root ( 5^2 + 4^2) = root( 25 + 16)
D( (-3, -1), (2, 3)) = root ( 41)
D( (-3, -1), (2, 3)) = 6.403 units
Answer:
6.4 (rounded to nearest tenth)
Step-by-step explanation:
Distance from (-3,-1) to (2,-1) is 5 units
Distance from (2,-1) to (2,3) is 4 units
4^2+5^2=x^2 x=hypothenuse
16+25=x^2
41+x^2
(take square root of both sides)
x=6.4