Basing on the question the volume of metal should be equal to the volume of the wire.
We already have the volume of the metal which is 1cm cube.
To get the volume of the wire, the equation is V=3.14 x r^2 x h
since the volume of the wire is same as the volume of the metal, we simply substitute.
1 cm^3 = 3.14 x r^2 x h
h is the length of the wire.
the diameter of the wire is 1 mm or 0.1 cm, to get the radius we divide it by 2, 0.1 cm / 2 is 0.05 cm, we substitute
1 cm^3= 3.14 x (0.05 cm)^2 x h
1 cm^3= 3.14 x 0.0025 cm^2 x h
h = 0.00785 cm^2 / 1 cm^3
h=0.00785 cm or 0.0785 mm.
Answer:
Step-by-step explanation:
a. The vertex is (1, -9). False. The vertex is (-1, -9).
b. The graph opens upward. True. That coefficient '6' is positive.
c. The graph is obtained by shifting the graph of f(x) = 6(x + 1)2 up 9 units. False. It's DOWN 9 units.
d. The graph is steeper than the graph of f(x) = x^2. True. The given function increases 6 times faster than does x^2.
e. The graph is the same as the graph of f(x) = 6x2 + 12x - 3.
Let's put f(x) = 6(x + 1)^2 -9 into standard form. Expanding the first term, we get f(x) = 6(x^2 + 2x + 1) - 9, or f(x) = 6x^2 + 12x + 6 - 9. YES, TRUE
1. quotient
2.remainder
3. a factor
4. 5
Step-by-step explanation:
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