56.52 cubic inches. Volume equals pi times the radius squared times the height divided by three.
Answer:
y = -2x + 2
Step-by-step explanation:
(-4-8)/(3-(-3)) = -12/6 = -2
-4 = -2(3) + b
-4 = -6 + b
b = 2
A) The figure decomposes nicely into 1 rectangle and 2 triangles.
B) AB = 4 units; AE = 5 units.
C) The rectangle whose diagonal is BE has area 4*5 = 20 units^2.
.. The triangle CDE has area (1/2)*7*1 = 7/2 units^2.
.. The triangle BCF has area (1/2)*3*5 = 15/2 units^2.
The total area of the figure is
.. area = rectangle + triangle CDE + triangle BCF
.. = (20 +7/2 +15/2) units^2
.. = 31 units^2
_____
Check:
.. Compare our computed value of area to that listed for poly1 on the left side of the figure.
X -(1/2x) = 2
1/2x = 2
x = 4
(4) - y = 2
y = 2