If there are 12 movies and a person can rent three, then there are 220 different combinations they can be rented in.
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Answer:
196π cm^3 ≈ 615.8 cm^3
Step-by-step explanation:
Put the numbers in the volume formula and do the arithmetic.
V = 1/3πr^2·h
V = 1/3π(7 cm)^2(12 cm) = 196π cm^3 ≈ 615.8 cm^3
X² + 5x - 24 = 0
x² - 3x + 8x - 24 = 0
x(x-3) + 8(x-3) = 0
(x+8)(x-3) = 0
x+8 = 0 or x-3 = 0
x = -8 x = 3
Answer: x=-8, x=3
Answer:
The vertices of the triangle A'B'C' are
,
and
, respectively.
Step-by-step explanation:
Vectorially speaking, the reflection of a point over the x-axis is defined by the following expression:
(1)
Where:
- Original point.
- Reflected point.
If we know that
,
and
, then the vertices of the triangle A'B'C':
,
, 
The vertices of the triangle A'B'C' are
,
and
, respectively.