Answer:
x would equal -11 or 13
Step-by-step Explanation:
x(x - 2) - 143 = 0
x^2 - 2x - 143 = 0
-2x + x^2 = 143
-143 + (-2x) + x^2 = 0
(x - 13)(x + 11)
x - 13 = 0
Add 13 to both sides
x = 13
x + 11 = 0
Subtract 11 from both sides
x = -11
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Answer:
150.72 units³
Step-by-step explanation:
The formula for solving the volume of a cylinder is:
V = pi (3.14) r² h
V = (3.14) (4) (3)
V = 150.72 units³
Answer:
C
Step-by-step explanation:
Don't worry about the volume to start with. Just look at the area of the top or bottom.
The hole has a 4 inch diameter
d = 4
r = d/2
r = 2
Area = pi r^2
Area = pi * 2^2
Area = 4 pi
Now find the area of the top (or bottom) if the circle was not there.
L = 8
W = 6
Area = L * W
Area = 8 * 6
Area = 48
Now take away the area of the circle.
Area Top = 48 - 4 * pi
Area Top = 48 - 12.56
Area Top = 35.44
Finally, Find the volume
Volume = area of the top * height
Volume = 35.44 * 15
Volume = 531.6
Recall that
Take it one piece at a time. For
, we can scale
by -5:
If we shift the argument by 1 and scale by -5, we have
so if we subtract this from
, we'll end up with
For the next piece, we can add another scaled and shifted step like
so that
For the last piece, we add one more term:
and so putting everything together, we get
:
