Given: given: 2 < a < 5, 3 < b < 7 find: a/2b-2b/a

-48/7 < a/2b-2b/a < -11/30

Step-by-step explanation:

a/2b - 2b/a

Get a common denominator of 2ab

a/2b * a/a   - 2b/a *2b/2b

a^2/2ab - 4b^2/2ab

(a^2-4b^2)/2ab

We want to find out the minimum and maximum for the expression

Minimum:

a needs to be the smallest and b needs to be the largest

2^2 -4* 7^2    4-196        -192    -48

= = =

2*2*7            28              28        7

The maximum is when a is the largest and b is the smallest

5^2 - 4*3^2     25-36          -11          

= = =

2*5*3              30             30          

The expression is between

-48/7 < a/2b-2b/a < -11/30

the radius is 2 times the diameter.

step-by-step explanation:

step-by-step explanation:

two pairs of adjacent sides are of equal length. this implies that one diagonal divides the kite into congruent triangles, and so the angles between the two pairs of equal sides are equal in measure. it also implies that the diagonals are perpendicular.