Answer:
Check below
Step-by-step explanation:
1) Check the rectangle below with a line k, the axis of rotation in the center of the figure.
2) Since it has a perimeter of 32 units and it is to be rotated about the line, the solid to be created it is a cylinder. As you can see below.
3) Let's calculate its radius, based on the information given, i.e. the perimeter:

Since the line of rotation is the center, and the radius is half the line segment of the basis, then the radius is 5.
Answer:
(4,0)
Step-by-step explanation:
4x+2y=16
-4y+x=4
Multiply the first equation by 2
2(4x+2y)=16*2
8x +4y = 32
Add the 2nd equation
8x +4y = 32
x -4y =4
--------------------
9x =36
Divide each side by 9
9x/9 = 36/9
x=4
Now solve for y
-4y +x =4
-4y +4 = 4
Subtract 4 from each side
-4y +4-4=4-4
-4y =0
Divide by -4
-4y/-4 =0/-4
y=0
(4,0)
Answer:
1. (2+2)/(-3+4)= 4/1= 4
y + 2 = 4(x + 4)
y + 2 = 4x + 16
y = 4x + 14 y-intercept:(0,14)
2. (0+5)/(-1+2)= 5/1= 5
y + 5 = 5(x + 1)
y + 5 = 5x + 5
y = 5x
y-intercept (0,0)
3. (-1+1)/(-5-3)= 0/-8= 0
y + 1 = 0(x - 3)
y + 1 = 0
y= -1