Arectangle as the width of 9 units and length of 40 units. what is the length of the diagonal?

the Diagonal is 41 units

Step-by-step explanation:

Since the sides of a rectangle, to be a rectangle, meet at 90° we use Pythagorean Theorem a² + b² = c²  

Width and Length are the legs and the diagonal is the hypotenuse

9² + 40² = c²

81  + 1600 =  c²

1681 = c²

√1681 = √c²

41 = c

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!