Quadrilateral abde is a rectangle. de = 4 in. and bd = 6 in. if the rectangle is rotated about a line through cf, cylinder y is created. if the rectangle is rotated about a line through gh, cylinder z is created. what is the difference in the measures of the radii of cylinder y and cylinder z, in inches?

Solution: A Rectangle ABDE in which DE=4 inches and BD= 6 inches

  There are two kinds of rotations

1. one along the Breadth, side having length 6 inches,i.e rotated along line GH,  Cylinder Z is created.

Radius of cylinder Z=6/2= 3 inches

2. Second along the Length, Side having length 4 inches,i.e rotated about a line CF, cylinder Y is created.

Radius of cylinder Y= 4/2= 2 inches

Difference in Radii= Radius of cylinder Z  -  Radius of cylinder Y

                               =  3 - 2= 1 inches

Diagram shown below of both the cases:

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.