FIND THE DISTANCE BETWEEN EACH PAIR OF POINTS. ROUND TO THE NEAREST TENTH. (-4, 5) (4, 0)

+9.4 to the nearest tenth

Step-by-step explanation:

(-4, 5) (4, 0)

Refering to the x-coordinates and the y-coordinates of these two points, we see that x changes from -4 to 4, a change of 8, which forms the horizontal leg of a right triangle.  Simultaneously, y changes from 5 to 0, a change of 5, which forms the vertical leg.  Now use the Pythagorean Theorem to determine the length of the hypotenuse of this triangle; this hypotenuse is the distance between the two points:

distance = +sqrt(8^2 + 5^2) = +sqrt(64 + 25) = + sqrt( 89) = +9.43 to the nearest hundredth and +9.4 to the nearest tenth.

b

step-by-step explanation: