Step-by-step explanation:
On a frigid, foggy Christmas Eve in London, a shrewd, mean-spirited cheapskate named Ebenezer Scrooge works meticulously in his counting-house. Outside the office creaks a little sign reading "Scrooge and Marley"--Jacob Marley, Scrooge's business partner, has died seven years previous. Inside the office, Scrooge watches over his clerk, a poor diminutive man named Bob Cratchit. The smoldering ashes in the fireplace provide little heat even for Bob's tiny room. Despite the harsh weather Scrooge refuses to pay for another lump of coal to warm the office.
Answer:
C. y = 2x -4
Step-by-step explanation:
We can use the points (0, -4) and (2, 0).
y = mx + b (m is slope, b is y-intercept)
m = delta y / delta x
m = 4 / 2
m = 2
y = 2x + b
We can plug in (2, 0):
0 = 4 + b
b = -4
y = 2x - 4
Divide both sides by -3, and replace 
with 
. Then
Factorize the quadratic in to get
which in turn means
But 
for all real 
, so we can ignore the first solution. This leaves us with
If we allow for any complex solution, then we can continue with the solution we ignored:
A(rectangle)=5*12=60
A(circle)=(pi)(r^2)
r=(1/2)(5)=2.5
A(circle)=(3.14)(2.5)^2
A(circle)=19.625
Shaded Circle=1/2
(1/2)(19.625)=9.8125
A of unshaded=60-9.8125
A=50.1875 ft
2 61/64m^3; For a rectangular prism, just use the formula V=w h l
V=0.875*1.5*2.25
V=1.3125*2.25
V=2.953125
V=2 61/64m^3
